Details

analyze2.6s (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
15.6%	84.3%	0.1%	8
15.6%	84.3%	0.1%	9
15.6%	84.3%	0.1%	10
30.4%	69.4%	0.1%	11
30.4%	69.4%	0.1%	12
30.4%	69.4%	0.1%	13
39.6%	60.3%	0.1%	14

Compiler

Compiled 25 to 23 computations (8% saved)

sample114.0ms (0.4%)

Algorithm

1×

intervals

Results

52.0ms	53×	body	1024	valid
21.0ms	35×	body	512	valid
20.0ms	141×	body	128	valid
9.0ms	27×	body	256	valid

Compiler

Compiled 49 to 48 computations (2% saved)

simplify148.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-/l*_binary64_705`
463×	`associate-/r/_binary64_706`
454×	`associate-*l/_binary64_703`
400×	`associate-/r*_binary64_704`
300×	`unswap-sqr_binary64_728`
267×	`associate-l_binary64_701`
254×	`associate-*r/_binary64_702`
215×	`associate-r_binary64_700`
202×	`cube-prod_binary64_788`
181×	`swap-sqr_binary64_727`
173×	`associate-+r+_binary64_692`
165×	`associate-+l+_binary64_693`
163×	`distribute-rgt-in_binary64_710`
146×	`*-lft-identity_binary64_749`
143×	`distribute-lft-in_binary64_709`
128×	`count-2_binary64_708`
127×	`associate-/l/_binary64_707`
122×	`*-rgt-identity_binary64_750`
88×	`times-frac_binary64_766`
78×	`cube-div_binary64_789`
76×	`distribute-rgt-out_binary64_713`
59×	`*-commutative_binary64_691`
46×	`sqr-pow_binary64_732`
33×	`pow-plus_binary64_823`
30×	`unpow3_binary64_826`
28×	`cube-mult_binary64_790` `+-commutative_binary64_690`
24×	`pow-sqr_binary64_733`
22×	`/-rgt-identity_binary64_751`
20×	`distribute-rgt1-in_binary64_716`
18×	`exp-prod_binary64_812`
16×	`div-exp_binary64_811` `prod-exp_binary64_809`
9×	`distribute-lft1-in_binary64_715`
7×	`cube-unmult_binary64_797` `distribute-lft-out_binary64_711`
4×	`pow-base-1_binary64_820` `rec-exp_binary64_810` `distribute-rgt-out--_binary64_714`
2×	`exp-sum_binary64_806` `cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `1-exp_binary64_804` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub-neg_binary64_753` `--rgt-identity_binary64_746` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	37	37
2	82	37
3	199	37
4	754	37
5	2637	37
6	3575	37
7	4884	37

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

20.2b

Counts

6 → 2

Compiler

Compiled 168 to 142 computations (15.5% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
0.3b	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
8.7b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite147.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

28×	`add-exp-log_binary64_798`
20×	`pow1_binary64_821`
18×	`add-cbrt-cube_binary64_796`
15×	`*-un-lft-identity_binary64_760`
12×	`add-sqr-sqrt_binary64_782` `prod-exp_binary64_809`
11×	`add-cube-cbrt_binary64_795`
10×	`associate-r_binary64_700`
9×	`pow-prod-down_binary64_831` `cbrt-unprod_binary64_793`
8×	`sqrt-prod_binary64_776`
7×	`unpow-prod-down_binary64_839`
4×	`add-log-exp_binary64_799` `sqrt-div_binary64_777` `pow-exp_binary64_828`
3×	`times-frac_binary64_766` `pow-unpow_binary64_837` `div-exp_binary64_811`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `associate-r/_binary64_702` `associate-l_binary64_701` `-commutative_binary64_691`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `div-inv_binary64_757` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `unpow2_binary64_825` `sqr-pow_binary64_732`

Counts

4 → 86

Calls

4 calls:

13.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
8.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
7.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
4.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 3141 to 2524 computations (19.6% saved)

series903.0ms (2.8%)

Error

0.1b

Counts

4 → 60

Calls

4 calls:

409.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
236.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
149.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)
49.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 4735 to 4040 computations (14.7% saved)

simplify556.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-/r/_binary64_706`
344×	`associate-l_binary64_701`
282×	`cancel-sign-sub-inv_binary64_726`
247×	`associate-r_binary64_700`
176×	`distribute-rgt-in_binary64_710`
167×	`distribute-rgt-neg-in_binary64_718`
154×	`distribute-lft-in_binary64_709`
148×	`unswap-sqr_binary64_728`
147×	`associate-/l/_binary64_707`
138×	`distribute-lft-neg-in_binary64_717`
133×	`sqr-pow_binary64_732`
130×	`*-commutative_binary64_691`
99×	`sub-neg_binary64_753`
90×	`times-frac_binary64_766`
89×	`associate-/r*_binary64_704`
84×	`distribute-neg-frac_binary64_724`
79×	`associate-/l*_binary64_705`
72×	`associate-*r/_binary64_702`
67×	`log-prod_binary64_846`
57×	`neg-sub0_binary64_755`
56×	`neg-mul-1_binary64_756` `associate-*l/_binary64_703` `+-commutative_binary64_690`
54×	`exp-prod_binary64_812`
45×	`cube-prod_binary64_788`
44×	`swap-sqr_binary64_727` `distribute-neg-in_binary64_721`
42×	`pow-sqr_binary64_733`
38×	`*-lft-identity_binary64_749`
33×	`pow-plus_binary64_823`
30×	`associate--r+_binary64_696`
27×	`*-rgt-identity_binary64_750`
26×	`associate-+l+_binary64_693`
25×	`log-div_binary64_847`
24×	`distribute-rgt-out_binary64_713`
23×	`associate-+r+_binary64_692`
22×	`distribute-lft-neg-out_binary64_719`
21×	`cube-div_binary64_789`
18×	`unsub-neg_binary64_754` `distribute-rgt-out--_binary64_714`
17×	`log-pow_binary64_849`
16×	`unpow2_binary64_825` `distribute-lft-out--_binary64_712`
15×	`unpow1_binary64_818` `/-rgt-identity_binary64_751`
12×	`associate--l+_binary64_697`
10×	`exp-sqrt_binary64_813` `cube-unmult_binary64_797` `rem-sqrt-square_binary64_773`
8×	`unpow3_binary64_826`
7×	`difference-of-squares_binary64_729`
6×	`cube-mult_binary64_790` `distribute-rgt1-in_binary64_716`
5×	`pow-base-1_binary64_820`
4×	`div-exp_binary64_811` `prod-exp_binary64_809`
3×	`difference-of-sqr-1_binary64_730` `distribute-lft-out_binary64_711` `associate-+r-_binary64_694`
2×	`rec-exp_binary64_810` `rem-square-sqrt_binary64_772` `+-rgt-identity_binary64_745` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `count-2_binary64_708`
1×	`log-rec_binary64_848` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `div-sub_binary64_765` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

146 → 496

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4415
1	722	4056
2	2763	3992

prune939.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	485	11	496
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	487	11	498

Error

0.0b

Counts

498 → 11

Compiler

Compiled 19059 to 14604 computations (23.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
8.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite160.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`pow1_binary64_821`
24×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
13×	`*-un-lft-identity_binary64_760`
10×	`add-sqr-sqrt_binary64_782`
9×	`add-cube-cbrt_binary64_795`
8×	`sqrt-prod_binary64_776`
7×	`associate-r_binary64_700`
6×	`cbrt-prod_binary64_791`
4×	`add-log-exp_binary64_799` `sqrt-div_binary64_777`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `associate-*r/_binary64_702` `pow1/3_binary64_842`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 71

Calls

4 calls:

22.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
7.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

Compiler

Compiled 3706 to 3037 computations (18.1% saved)

series876.0ms (2.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

486.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
241.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
46.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
37.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

Compiler

Compiled 4858 to 4130 computations (15% saved)

simplify632.0ms (2%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/l*_binary64_705`
368×	`associate-l_binary64_701`
357×	`associate-/r*_binary64_704`
270×	`associate-r_binary64_700`
222×	`cancel-sign-sub-inv_binary64_726`
156×	`associate-/r/_binary64_706`
155×	`distribute-rgt-in_binary64_710`
142×	`distribute-rgt-neg-in_binary64_718`
135×	`distribute-lft-in_binary64_709`
123×	`*-commutative_binary64_691`
122×	`distribute-lft-neg-in_binary64_717`
101×	`unswap-sqr_binary64_728`
88×	`sub-neg_binary64_753`
87×	`sqr-pow_binary64_732`
83×	`times-frac_binary64_766`
82×	`associate-/l/_binary64_707`
80×	`distribute-neg-frac_binary64_724`
59×	`neg-sub0_binary64_755`
58×	`neg-mul-1_binary64_756`
46×	`associate-*r/_binary64_702`
45×	`+-commutative_binary64_690`
43×	`pow-sqr_binary64_733`
42×	`distribute-neg-in_binary64_721`
41×	`log-prod_binary64_846` `swap-sqr_binary64_727`
39×	`cube-prod_binary64_788`
35×	`exp-prod_binary64_812`
32×	`associate-*l/_binary64_703`
26×	`associate--r+_binary64_696`
22×	`associate-+l+_binary64_693`
21×	`distribute-lft-neg-out_binary64_719`
18×	`pow-plus_binary64_823`
17×	`unsub-neg_binary64_754` `*-rgt-identity_binary64_750` `associate-+r+_binary64_692`
16×	`*-lft-identity_binary64_749`
14×	`distribute-rgt-out_binary64_713`
11×	`cube-div_binary64_789` `distribute-rgt-out--_binary64_714`
10×	`cube-unmult_binary64_797`
9×	`difference-of-squares_binary64_729`
8×	`unpow3_binary64_826` `associate--l+_binary64_697`
6×	`cube-mult_binary64_790`
5×	`log-pow_binary64_849` `unpow2_binary64_825` `unpow1_binary64_818` `distribute-rgt1-in_binary64_716`
4×	`prod-exp_binary64_809` `rem-sqrt-square_binary64_773`
3×	`pow-base-1_binary64_820` `/-rgt-identity_binary64_751` `difference-of-sqr-1_binary64_730` `associate-+r-_binary64_694`
2×	`+-rgt-identity_binary64_745` `count-2_binary64_708`
1×	`log-div_binary64_847` `unpow1/3_binary64_827` `exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

122 → 257

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	4722
1	630	3417
2	2499	3359

prune456.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	256	12	268

Error

0.0b

Counts

268 → 12

Compiler

Compiled 12249 to 9514 computations (22.3% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite374.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`pow1_binary64_821`
24×	`add-exp-log_binary64_798`
17×	`*-un-lft-identity_binary64_760`
16×	`sqrt-prod_binary64_776`
15×	`add-cbrt-cube_binary64_796` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
12×	`add-sqr-sqrt_binary64_782`
9×	`add-cube-cbrt_binary64_795`
8×	`sqrt-div_binary64_777`
7×	`associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711`
3×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`
2×	`associate-*r/_binary64_702`
1×	`associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 81

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
7.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
7.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))

Compiler

Compiled 8705 to 7094 computations (18.5% saved)

series1.5s (4.6%)

Error

0.0b

Counts

4 → 77

Calls

4 calls:

428.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
268.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
261.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
254.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

Compiler

Compiled 18014 to 14868 computations (17.5% saved)

simplify639.0ms (2%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/l*_binary64_705`
344×	`associate-l_binary64_701`
256×	`associate-r_binary64_700`
200×	`cancel-sign-sub-inv_binary64_726`
185×	`distribute-rgt-in_binary64_710`
173×	`associate-/r/_binary64_706`
171×	`distribute-lft-in_binary64_709`
137×	`distribute-rgt-neg-in_binary64_718`
124×	`*-commutative_binary64_691`
121×	`distribute-lft-neg-in_binary64_717`
101×	`unswap-sqr_binary64_728`
99×	`associate-/l/_binary64_707`
92×	`times-frac_binary64_766`
87×	`distribute-neg-frac_binary64_724`
80×	`sqr-pow_binary64_732`
76×	`sub-neg_binary64_753`
72×	`associate-/r*_binary64_704`
53×	`associate-*r/_binary64_702`
51×	`neg-sub0_binary64_755`
50×	`neg-mul-1_binary64_756`
39×	`pow-sqr_binary64_733`
38×	`cube-prod_binary64_788`
37×	`+-commutative_binary64_690`
36×	`log-prod_binary64_846` `associate-*l/_binary64_703`
35×	`swap-sqr_binary64_727`
31×	`exp-prod_binary64_812`
30×	`distribute-neg-in_binary64_721`
20×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
19×	`associate-+l+_binary64_693`
18×	`pow-plus_binary64_823` `associate--r+_binary64_696`
17×	`distribute-lft-neg-out_binary64_719`
15×	`associate-+r+_binary64_692`
14×	`distribute-rgt-out_binary64_713`
13×	`cube-div_binary64_789`
12×	`unsub-neg_binary64_754` `distribute-rgt-out--_binary64_714`
10×	`cube-unmult_binary64_797` `difference-of-squares_binary64_729`
9×	`unpow3_binary64_826`
8×	`associate--l+_binary64_697`
7×	`cube-mult_binary64_790`
6×	`unpow2_binary64_825`
5×	`log-pow_binary64_849` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `distribute-rgt1-in_binary64_716`
4×	`prod-exp_binary64_809`
3×	`pow-base-1_binary64_820` `/-rgt-identity_binary64_751` `difference-of-sqr-1_binary64_730` `associate-+r-_binary64_694`
2×	`rem-square-sqrt_binary64_772` `+-rgt-identity_binary64_745` `count-2_binary64_708`
1×	`log-div_binary64_847` `exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

158 → 520

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	6126
1	599	5677
2	2470	5583

prune4.0s (12.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	520	0	520
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	520	12	532

Error

0.0b

Counts

532 → 12

Compiler

Compiled 55116 to 43999 computations (20.2% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
10.1b	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

rewrite592.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`pow1_binary64_821`
24×	`add-exp-log_binary64_798`
17×	`*-un-lft-identity_binary64_760`
16×	`sqrt-prod_binary64_776`
15×	`add-cbrt-cube_binary64_796` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
12×	`add-sqr-sqrt_binary64_782`
9×	`add-cube-cbrt_binary64_795`
8×	`sqrt-div_binary64_777`
7×	`associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711`
3×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`
2×	`associate-*r/_binary64_702`
1×	`associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 81

Calls

4 calls:

18.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
11.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
8.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

Compiler

Compiled 10811 to 8876 computations (17.9% saved)

series1.7s (5.2%)

Error

0.0b

Counts

4 → 77

Calls

4 calls:

448.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J -2) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
306.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))
292.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))) 2)))
292.0ms	(sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))

Compiler

Compiled 22954 to 19048 computations (17% saved)

simplify673.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/l*_binary64_705`
344×	`associate-l_binary64_701`
256×	`associate-r_binary64_700`
200×	`cancel-sign-sub-inv_binary64_726`
185×	`distribute-rgt-in_binary64_710`
173×	`associate-/r/_binary64_706`
171×	`distribute-lft-in_binary64_709`
137×	`distribute-rgt-neg-in_binary64_718`
124×	`*-commutative_binary64_691`
121×	`distribute-lft-neg-in_binary64_717`
101×	`unswap-sqr_binary64_728`
99×	`associate-/l/_binary64_707`
92×	`times-frac_binary64_766`
87×	`distribute-neg-frac_binary64_724`
80×	`sqr-pow_binary64_732`
76×	`sub-neg_binary64_753`
72×	`associate-/r*_binary64_704`
53×	`associate-*r/_binary64_702`
51×	`neg-sub0_binary64_755`
50×	`neg-mul-1_binary64_756`
39×	`pow-sqr_binary64_733`
38×	`cube-prod_binary64_788`
37×	`+-commutative_binary64_690`
36×	`log-prod_binary64_846` `associate-*l/_binary64_703`
35×	`swap-sqr_binary64_727`
31×	`exp-prod_binary64_812`
30×	`distribute-neg-in_binary64_721`
20×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
19×	`associate-+l+_binary64_693`
18×	`pow-plus_binary64_823` `associate--r+_binary64_696`
17×	`distribute-lft-neg-out_binary64_719`
15×	`associate-+r+_binary64_692`
14×	`distribute-rgt-out_binary64_713`
13×	`cube-div_binary64_789`
12×	`unsub-neg_binary64_754` `distribute-rgt-out--_binary64_714`
10×	`cube-unmult_binary64_797` `difference-of-squares_binary64_729`
9×	`unpow3_binary64_826`
8×	`associate--l+_binary64_697`
7×	`cube-mult_binary64_790`
6×	`unpow2_binary64_825`
5×	`log-pow_binary64_849` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `distribute-rgt1-in_binary64_716`
4×	`prod-exp_binary64_809`
3×	`pow-base-1_binary64_820` `/-rgt-identity_binary64_751` `difference-of-sqr-1_binary64_730` `associate-+r-_binary64_694`
2×	`rem-square-sqrt_binary64_772` `+-rgt-identity_binary64_745` `count-2_binary64_708`
1×	`log-div_binary64_847` `exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `mul-1-neg_binary64_752` `*-inverses_binary64_740` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

158 → 519

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	6126
1	599	5677
2	2470	5583

prune6.7s (20.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	518	1	519
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	518	13	531

Error

0.0b

Counts

531 → 13

Compiler

Compiled 68115 to 54993 computations (19.3% saved)

regimes1.7s (5.3%)

Accuracy

Total 9.4b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 21277 to 18268 computations (14.1% saved)

bsearch7.0ms (0%)

Compiler: Compiled 24 to 22 computations (8.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64_691`
8×	`+-commutative_binary64_690`
6×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub-neg_binary64_753`
2×	`unsub-neg_binary64_754` `distribute-neg-in_binary64_721` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
1×	`1-exp_binary64_804` `distribute-neg-frac_binary64_724`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `unpow1_binary64_818` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	148
1	52	148
2	66	148
3	78	148
4	86	148
5	90	148
6	91	148

Proof

(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2)))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2)))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (=> (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2))))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2)))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (=> (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2))))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (=> (* f64 (* f64 2 h0) (cos f64 (/ f64 h1 2))))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (=> (* f64 2 h0)))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 2 h0))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (=> (* f64 2 h0)))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (=> (* f64 2 h0)))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (neg f64 (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))))))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (neg f64 (=> (+ f64 h2 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0)))))))))
+-commutative_binary64_690 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (=> (neg f64 (+ f64 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0)))) h2)))))
distribute-neg-in_binary64_721 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (=> (+ f64 (neg f64 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0))))) (neg f64 h2)))))
unsub-neg_binary64_754 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (- f64 (=> (neg f64 (* f64 2 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0)))))) h2)))
distribute-rgt-neg-in_binary64_718 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (- f64 (* f64 2 (=> (neg f64 (/ f64 (pow f64 (cos f64 (* f64 1/2 h1)) 2) (/ f64 h2 (* f64 h0 h0)))))) h2)))
distribute-neg-frac_binary64_724 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (- f64 (* f64 2 (/ f64 (neg f64 (pow f64 (cos f64 (=> (* f64 1/2 h1))) 2)) (/ f64 h2 (* f64 h0 h0)))) h2)))
*-commutative_binary64_691 =>
(if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) h3) h2 (if real (<= f64 (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) 191028257765813362524810847417291782003599524394494872281934833363446412384005354147441513541847518296344929402822809636169177238674037367037502022273741306580781338121668491058710548760208349375345373633898855180953566384891899183828062291897523755059540273545140861248295882714306054177814723325591552) (* f64 (* f64 (* f64 -2 h0) (cos f64 (/ f64 h1 2))) (sqrt f64 (+ f64 1 (pow f64 (/ f64 h2 (* f64 (cos f64 (/ f64 h1 2)) (* f64 h0 2))) 2)))) (- f64 (* f64 2 (/ f64 (neg f64 (pow f64 (cos f64 (* f64 h1 1/2)) 2)) (/ f64 h2 (* f64 h0 h0)))) h2)))

end0.0ms (0%)

sample6.9s (21.3%)

Algorithm

1×

intervals

Results

2.1s	1978×	body	1024	valid
799.0ms	4464×	body	128	valid
575.0ms	1022×	body	512	valid
185.0ms	531×	body	256	valid
8.0ms	5×	body	2048	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	128	invalid

Compiler

Compiled 3610 to 3095 computations (14.3% saved)

Details

analyze2.6s (8%)

sample114.0ms (0.4%)

simplify148.0ms (0.5%)

prune6.0ms (0%)

localize16.0ms (0%)

rewrite147.0ms (0.5%)

series903.0ms (2.8%)

simplify556.0ms (1.7%)

prune939.0ms (2.9%)

localize21.0ms (0.1%)

rewrite160.0ms (0.5%)

series876.0ms (2.7%)

simplify632.0ms (2%)

prune456.0ms (1.4%)

localize35.0ms (0.1%)

rewrite374.0ms (1.2%)

series1.5s (4.6%)

simplify639.0ms (2%)

prune4.0s (12.2%)

localize40.0ms (0.1%)

rewrite592.0ms (1.8%)

series1.7s (5.2%)

simplify673.0ms (2.1%)

prune6.7s (20.7%)

regimes1.7s (5.3%)

bsearch7.0ms (0%)

simplify18.0ms (0.1%)

end0.0ms (0%)

sample6.9s (21.3%)

Profiling