Details

analyze2.6s (11.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

668×	`times-frac_binary64_766`
359×	`cancel-sign-sub-inv_binary64_726`
300×	`associate-/l*_binary64_705`
286×	`*-commutative_binary64_691`
260×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
226×	`distribute-rgt-neg-in_binary64_718`
200×	`distribute-neg-frac_binary64_724`
197×	`distribute-lft-neg-in_binary64_717`
155×	`associate-/r/_binary64_706`
122×	`associate-/l/_binary64_707`
109×	`sub-neg_binary64_753`
93×	`associate-/r*_binary64_704`
85×	`swap-sqr_binary64_727`
81×	`associate-*r/_binary64_702`
65×	`associate-*l/_binary64_703`
49×	`sqr-pow_binary64_732`
42×	`associate-l_binary64_701`
30×	`div-sub_binary64_765`
29×	`distribute-lft-neg-out_binary64_719`
28×	`associate-r_binary64_700`
15×	`sub0-neg_binary64_747` `associate-+l-_binary64_695` `+-commutative_binary64_690`
13×	`unpow2_binary64_825`
12×	`unpow1/2_binary64_824` `unpow1_binary64_818` `rem-sqrt-square_binary64_773`
1×	`1-exp_binary64_804` `swap-M-D`
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` `unpow3_binary64_826` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `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-unmult_binary64_797` `cube-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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-square-sqrt_binary64_772` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	432
1	374	432
2	1139	432
3	2964	432
4	5015	432
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Symmetry

(sort M D)

Compiler

Compiled 19 to 19 computations (0% saved)

sample57.0ms (0.2%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
6.0ms	89×	body	128	nan
2.0ms	36×	body	128	invalid

Compiler

Compiled 37 to 43 computations (-16.2% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

893×	`div-sub_binary64_765`
645×	`distribute-neg-frac_binary64_724`
581×	`distribute-rgt-neg-in_binary64_718`
569×	`distribute-lft-neg-in_binary64_717`
418×	`associate-/l*_binary64_705`
372×	`cancel-sign-sub-inv_binary64_726`
263×	`associate-/l/_binary64_707`
254×	`*-commutative_binary64_691`
227×	`times-frac_binary64_766`
189×	`associate-/r/_binary64_706`
163×	`associate-/r*_binary64_704`
133×	`neg-mul-1_binary64_756`
132×	`neg-sub0_binary64_755`
91×	`associate-*l/_binary64_703`
78×	`associate-*r/_binary64_702`
77×	`associate-l_binary64_701`
69×	`associate-r_binary64_700`
31×	`sub-neg_binary64_753`
22×	`distribute-lft-neg-out_binary64_719`
20×	`swap-sqr_binary64_727`
18×	`distribute-rgt-neg-out_binary64_720`
15×	`distribute-frac-neg_binary64_723`
8×	`unswap-sqr_binary64_728`
7×	`sqr-pow_binary64_732`
4×	`unsub-neg_binary64_754`
3×	`pow-plus_binary64_823` `cube-unmult_binary64_797` `+-commutative_binary64_690`
2×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
1×	`unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `1-exp_binary64_804` `rem-sqrt-square_binary64_773` `sub0-neg_binary64_747` `associate-+l-_binary64_695` `associate-+l+_binary64_693`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `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-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+r-_binary64_694` `associate-+r+_binary64_692`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	718	27
4	2816	27
5	4686	27
6	6100	27

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

13.1b

Counts

1 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
3.8b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.1b	(/.f64 (.f64 M D) (.f64 2 d))
9.5b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite258.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

67×	`add-exp-log_binary64_798`
38×	`add-sqr-sqrt_binary64_782`
27×	`prod-exp_binary64_809`
23×	`add-cbrt-cube_binary64_796`
19×	`div-exp_binary64_811` `associate-r_binary64_700`
17×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
15×	`times-frac_binary64_766`
13×	`associate-l_binary64_701`
10×	`pow-exp_binary64_828` `unswap-sqr_binary64_728`
7×	`pow1_binary64_821` `cbrt-unprod_binary64_793` `unpow-prod-down_binary64_839` `sqrt-prod_binary64_776`
5×	`cbrt-undiv_binary64_794`
4×	`add-log-exp_binary64_799` `sqrt-div_binary64_777`
3×	`unpow2_binary64_825` `sqr-pow_binary64_732` `associate-*r/_binary64_702` `div-inv_binary64_757`
2×	`pow-to-exp_binary64_829` `*-commutative_binary64_691` `flip3--_binary64_764` `flip--_binary64_735`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l_binary64_705` `associate-/r_binary64_704` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `pow-prod-down_binary64_831`

Counts

4 → 116

Calls

4 calls:

12.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3444 to 1962 computations (43% saved)

series2.6s (11.3%)

Error

7.5b

Counts

4 → 73

Calls

4 calls:

886.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
816.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
579.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
195.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 4706 to 4104 computations (12.8% saved)

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

305×	`times-frac_binary64_766`
293×	`associate-l_binary64_701`
267×	`associate-r_binary64_700`
240×	`associate-/l*_binary64_705`
220×	`distribute-neg-frac_binary64_724`
199×	`log-prod_binary64_846`
182×	`cancel-sign-sub-inv_binary64_726`
179×	`associate-*r/_binary64_702`
175×	`associate-/r*_binary64_704`
166×	`*-commutative_binary64_691`
141×	`associate-*l/_binary64_703`
135×	`log-div_binary64_847`
102×	`unswap-sqr_binary64_728`
73×	`cube-prod_binary64_788`
72×	`neg-sub0_binary64_755`
67×	`neg-mul-1_binary64_756`
66×	`swap-sqr_binary64_727`
63×	`sqr-pow_binary64_732`
60×	`sub-neg_binary64_753`
59×	`exp-prod_binary64_812`
53×	`distribute-rgt-neg-in_binary64_718`
47×	`distribute-lft-neg-in_binary64_717`
39×	`cube-div_binary64_789`
38×	`+-commutative_binary64_690`
37×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
23×	`associate-/r/_binary64_706`
22×	`log-pow_binary64_849`
19×	`associate-/l/_binary64_707`
14×	`/-rgt-identity_binary64_751`
9×	`unsub-neg_binary64_754` `distribute-rgt-in_binary64_710`
8×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `cube-unmult_binary64_797` `associate--l+_binary64_697`
7×	`unpow3_binary64_826` `pow-plus_binary64_823`
6×	`distribute-neg-in_binary64_721` `associate--r+_binary64_696` `associate-+r-_binary64_694` `associate-+l+_binary64_693`
5×	`cube-mult_binary64_790` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `pow-sqr_binary64_733` `distribute-lft-in_binary64_709`
4×	`exp-sqrt_binary64_813`
3×	`rem-square-sqrt_binary64_772` `distribute-rgt-out_binary64_713`
2×	`distribute-lft-neg-out_binary64_719` `distribute-rgt1-in_binary64_716` `distribute-lft-out_binary64_711` `associate-+r+_binary64_692`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `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` `div-sub_binary64_765` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `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-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

189 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4653
1	776	4382
2	3371	4381
3	4824	4381
4	5042	4381

prune228.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	11	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

5.6b

Counts

146 → 11

Compiler

Compiled 3964 to 2075 computations (47.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))))
5.1b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
5.1b	(/.f64 (.f64 M D) (.f64 2 d))
5.2b	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))

rewrite276.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

165×	`add-exp-log_binary64_798`
91×	`prod-exp_binary64_809`
40×	`div-exp_binary64_811`
30×	`add-cbrt-cube_binary64_796`
25×	`pow-exp_binary64_828`
23×	`associate-r_binary64_700`
22×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`cbrt-unprod_binary64_793` `times-frac_binary64_766`
8×	`1-exp_binary64_804` `rec-exp_binary64_810`
7×	`pow1_binary64_821`
6×	`cbrt-undiv_binary64_794` `unpow-prod-down_binary64_839`
5×	`pow-to-exp_binary64_829`
4×	`add-log-exp_binary64_799` `associate-l_binary64_701` `unswap-sqr_binary64_728`
3×	`div-inv_binary64_757` `sqrt-prod_binary64_776`
2×	`*-commutative_binary64_691` `unpow2_binary64_825` `sqr-pow_binary64_732` `sqrt-div_binary64_777`
1×	`pow-prod-down_binary64_831` `un-div-inv_binary64_758` `associate-r/_binary64_702` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l_binary64_705` `associate-/r*_binary64_704` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773`

Counts

4 → 130

Calls

4 calls:

11.0ms	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))
8.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
5.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))))

Compiler

Compiled 3800 to 2447 computations (35.6% saved)

series2.2s (9.7%)

Error

5.2b

Counts

4 → 61

Calls

4 calls:

803.0ms	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))
596.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 1 l))))
536.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
186.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 4042 to 3604 computations (10.8% saved)

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-/l/_binary64_707`
293×	`distribute-rgt-neg-in_binary64_718`
274×	`associate-l_binary64_701`
272×	`distribute-lft-neg-in_binary64_717`
245×	`times-frac_binary64_766`
224×	`associate-r_binary64_700`
184×	`associate-/l*_binary64_705`
153×	`cancel-sign-sub-inv_binary64_726`
140×	`distribute-neg-frac_binary64_724`
137×	`associate-/r*_binary64_704`
134×	`*-commutative_binary64_691`
127×	`associate-*r/_binary64_702`
117×	`unswap-sqr_binary64_728`
99×	`associate-*l/_binary64_703`
78×	`log-prod_binary64_846`
76×	`swap-sqr_binary64_727`
63×	`exp-prod_binary64_812` `cube-prod_binary64_788`
61×	`sqr-pow_binary64_732`
56×	`neg-sub0_binary64_755`
53×	`neg-mul-1_binary64_756`
50×	`log-div_binary64_847` `sub-neg_binary64_753`
37×	`cube-div_binary64_789`
35×	`+-commutative_binary64_690`
33×	`*-lft-identity_binary64_749` `distribute-rgt-in_binary64_710` `associate-+l+_binary64_693`
28×	`*-rgt-identity_binary64_750`
27×	`distribute-lft-in_binary64_709`
19×	`associate-/r/_binary64_706` `associate-+r-_binary64_694`
16×	`distribute-rgt-out_binary64_713`
15×	`unsub-neg_binary64_754` `distribute-lft-out_binary64_711`
10×	`log-pow_binary64_849` `distribute-lft-neg-out_binary64_719`
9×	`associate-+r+_binary64_692`
8×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `cube-unmult_binary64_797` `/-rgt-identity_binary64_751`
7×	`pow-plus_binary64_823` `distribute-rgt1-in_binary64_716` `associate--l+_binary64_697`
6×	`unpow3_binary64_826`
5×	`rem-sqrt-square_binary64_773` `pow-sqr_binary64_733` `distribute-rgt-neg-out_binary64_720` `associate--r+_binary64_696`
4×	`exp-sqrt_binary64_813` `cube-mult_binary64_790` `+-rgt-identity_binary64_745` `distribute-neg-in_binary64_721`
3×	`rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752`
2×	`log-rec_binary64_848` `distribute-lft1-in_binary64_715` `associate-+l-_binary64_695`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `div-sub_binary64_765` `sub0-neg_binary64_747` `+-lft-identity_binary64_744` `count-2_binary64_708`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `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` `--rgt-identity_binary64_746` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `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-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

191 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4002
1	639	3820
2	2750	3814
3	5220	3814

prune216.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	143	14	157

Error

3.7b

Counts

157 → 14

Compiler

Compiled 3667 to 2292 computations (37.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(sqrt.f64 (-.f64 1 (.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))))
3.9b	(/.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) l)
5.1b	(/.f64 (.f64 M D) (.f64 2 d))
5.8b	(.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))

rewrite313.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

72×	`times-frac_binary64_766`
67×	`add-exp-log_binary64_798`
55×	`add-sqr-sqrt_binary64_782`
42×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
36×	`unpow-prod-down_binary64_839`
34×	`associate-r_binary64_700`
26×	`div-exp_binary64_811`
23×	`add-cbrt-cube_binary64_796`
20×	`prod-exp_binary64_809`
11×	`associate-/l*_binary64_705`
10×	`pow-exp_binary64_828` `div-inv_binary64_757`
8×	`unpow2_binary64_825` `sqr-pow_binary64_732`
7×	`pow1_binary64_821`
6×	`cbrt-unprod_binary64_793` `cbrt-undiv_binary64_794`
5×	`unswap-sqr_binary64_728`
4×	`add-log-exp_binary64_799` `associate-/r*_binary64_704`
3×	`associate-l_binary64_701` `sqrt-prod_binary64_776`
2×	`pow-to-exp_binary64_829` `frac-2neg_binary64_771` `clear-num_binary64_759` `sqrt-div_binary64_777`
1×	`pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773`

Counts

4 → 159

Calls

4 calls:

16.0ms	(.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))
6.0ms	(/.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) l)
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))))

Compiler

Compiled 4696 to 2848 computations (39.4% saved)

series2.2s (9.9%)

Error

3.6b

Counts

4 → 61

Calls

4 calls:

819.0ms	(.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))
581.0ms	(sqrt.f64 (-.f64 1 (.f64 h (/.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) l))))
552.0ms	(/.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) l)
202.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3916 to 3478 computations (11.2% saved)

simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

295×	`times-frac_binary64_766` `associate-/l*_binary64_705`
242×	`distribute-rgt-neg-in_binary64_718`
233×	`log-prod_binary64_846`
224×	`distribute-lft-neg-in_binary64_717`
204×	`associate-r_binary64_700`
195×	`associate-l_binary64_701`
181×	`distribute-neg-frac_binary64_724`
165×	`associate-*r/_binary64_702`
164×	`log-div_binary64_847` `associate-/r*_binary64_704`
128×	`cancel-sign-sub-inv_binary64_726`
126×	`*-commutative_binary64_691`
120×	`unswap-sqr_binary64_728`
109×	`associate-*l/_binary64_703`
79×	`associate-/l/_binary64_707`
67×	`swap-sqr_binary64_727`
63×	`sqr-pow_binary64_732`
60×	`cube-prod_binary64_788`
58×	`neg-sub0_binary64_755` `sub-neg_binary64_753`
55×	`neg-mul-1_binary64_756`
41×	`cube-div_binary64_789`
38×	`*-rgt-identity_binary64_750`
37×	`*-lft-identity_binary64_749`
34×	`distribute-rgt-in_binary64_710` `associate-/r/_binary64_706`
29×	`log-pow_binary64_849`
26×	`+-commutative_binary64_690`
21×	`exp-prod_binary64_812`
18×	`/-rgt-identity_binary64_751`
11×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `distribute-lft-neg-out_binary64_719`
9×	`pow-plus_binary64_823`
8×	`distribute-rgt-out_binary64_713`
7×	`distribute-rgt1-in_binary64_716`
6×	`unpow3_binary64_826` `cube-unmult_binary64_797` `unsub-neg_binary64_754` `associate--l+_binary64_697` `associate-+r-_binary64_694`
5×	`rem-sqrt-square_binary64_773` `pow-sqr_binary64_733` `distribute-rgt-neg-out_binary64_720` `distribute-lft-out_binary64_711` `associate--r+_binary64_696` `associate-+l+_binary64_693`
4×	`cube-mult_binary64_790` `distribute-neg-in_binary64_721`
3×	`log-rec_binary64_848` `exp-sqrt_binary64_813` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `distribute-lft-in_binary64_709`
2×	`distribute-lft1-in_binary64_715` `associate-+r+_binary64_692`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `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` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `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-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

220 → 148

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	5069
1	714	4659
2	3074	4658
3	4670	4658
4	4975	4658

prune222.0ms (1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	148	14	162

Error

3.4b

Counts

162 → 14

Compiler

Compiled 3858 to 2262 computations (41.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l))))
4.8b	(/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l)
5.1b	(/.f64 (.f64 M D) (.f64 2 d))
5.1b	(/.f64 (.f64 M D) (.f64 2 d))

rewrite201.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

46×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
21×	`times-frac_binary64_766`
17×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
16×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
12×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`div-inv_binary64_757` `associate-/l*_binary64_705`
5×	`pow1_binary64_821` `associate-/r*_binary64_704`
4×	`add-log-exp_binary64_799`
3×	`frac-2neg_binary64_771` `clear-num_binary64_759` `sqrt-prod_binary64_776`
2×	`sqrt-div_binary64_777`
1×	`associate-/l/_binary64_707` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773`

Counts

4 → 101

Calls

4 calls:

7.0ms	(/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l)
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
5.0ms	(/.f64 (.f64 M D) (.f64 2 d))
5.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l))))

Compiler

Compiled 3446 to 1878 computations (45.5% saved)

series1.4s (6.2%)

Error

3.3b

Counts

4 → 55

Calls

4 calls:

591.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l))))
350.0ms	(/.f64 (/.f64 (.f64 M D) (.f64 2 d)) l)
210.0ms	(/.f64 (.f64 M D) (.f64 2 d))
199.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3808 to 2994 computations (21.4% saved)

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

689×	`associate-/r/_binary64_706`
283×	`times-frac_binary64_766`
215×	`distribute-rgt-neg-in_binary64_718`
210×	`associate-/l*_binary64_705`
202×	`distribute-lft-neg-in_binary64_717`
200×	`distribute-neg-frac_binary64_724`
168×	`associate-/r*_binary64_704`
136×	`associate-r_binary64_700`
127×	`associate-l_binary64_701`
120×	`cancel-sign-sub-inv_binary64_726`
108×	`associate-*r/_binary64_702`
102×	`associate-/l/_binary64_707`
89×	`associate-*l/_binary64_703`
85×	`log-prod_binary64_846`
81×	`*-commutative_binary64_691`
76×	`log-div_binary64_847` `unpow3_binary64_826`
72×	`cube-mult_binary64_790`
63×	`cube-prod_binary64_788` `sub-neg_binary64_753`
62×	`cube-div_binary64_789` `neg-sub0_binary64_755`
59×	`neg-mul-1_binary64_756`
44×	`unswap-sqr_binary64_728`
38×	`swap-sqr_binary64_727`
35×	`sqr-pow_binary64_732`
32×	`exp-prod_binary64_812`
19×	`+-commutative_binary64_690`
16×	`distribute-rgt-in_binary64_710`
15×	`*-rgt-identity_binary64_750`
14×	`*-lft-identity_binary64_749`
13×	`distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
12×	`distribute-lft-neg-out_binary64_719`
11×	`distribute-lft-in_binary64_709`
10×	`div-sub_binary64_765` `associate--l+_binary64_697`
9×	`cube-unmult_binary64_797` `/-rgt-identity_binary64_751`
8×	`unsub-neg_binary64_754` `associate-+l+_binary64_693`
7×	`distribute-neg-in_binary64_721` `distribute-rgt1-in_binary64_716`
6×	`log-pow_binary64_849`
5×	`pow-plus_binary64_823` `associate--r+_binary64_696`
4×	`log-rec_binary64_848` `exp-sqrt_binary64_813` `distribute-rgt-neg-out_binary64_720`
3×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `distribute-frac-neg_binary64_723`
2×	`rem-square-sqrt_binary64_772` `distribute-lft1-in_binary64_715` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+r+_binary64_692`
1×	`1-exp_binary64_804` `div0_binary64_741` `distribute-neg-out_binary64_722`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `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` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r-_binary64_699` `associate-+r-_binary64_694`

Counts

156 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3302
1	576	2839
2	2603	2837
3	4725	2837
4	4966	2837

prune142.0ms (0.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	102	15	117

Error

3.2b

Counts

117 → 15

Compiler

Compiled 3015 to 1531 computations (49.2% saved)

regimes4.4s (19.6%)

Accuracy

Total 5.3b remaining (63.3%)

Threshold costs 0b (0%)

Compiler

Compiled 47394 to 41674 computations (12.1% saved)

bsearch7.0ms (0%)

Compiler: Compiled 18 to 18 computations (0% saved)

simplify30.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

63×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
39×	`*-commutative_binary64_691`
34×	`distribute-rgt-neg-in_binary64_718`
31×	`distribute-lft-neg-in_binary64_717`
25×	`distribute-lft-neg-out_binary64_719`
24×	`sub-neg_binary64_753` `+-commutative_binary64_690`
23×	`distribute-rgt-neg-out_binary64_720`
22×	`*-rgt-identity_binary64_750`
20×	`*-lft-identity_binary64_749`
7×	`distribute-neg-frac_binary64_724`
6×	`unsub-neg_binary64_754` `cancel-sign-sub-inv_binary64_726`
1×	`1-exp_binary64_804`
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` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	180
1	91	180
2	137	180
3	178	180
4	214	180
5	232	180
6	239	180
7	323	180
8	322	180
9	320	180

Compiler

Compiled 236 to 152 computations (35.6% saved)

end0.0ms (0%)

sample4.6s (20.3%)

Algorithm

1×

intervals

Results

597.0ms	8000×	body	128	valid
210.0ms	3049×	body	128	nan
100.0ms	1352×	body	128	invalid

Compiler

Compiled 3100 to 2696 computations (13% saved)

Iter	Nodes	Cost
0	53	180
1	91	180
2	137	180
3	178	180
4	214	180
5	232	180
6	239	180
7	323	180
8	322	180
9	320	180

Iter	Nodes	Cost
0	53	180
1	91	180
2	137	180
3	178	180
4	214	180
5	232	180
6	239	180
7	323	180
8	322	180
9	320	180

Details

analyze2.6s (11.3%)

sample57.0ms (0.2%)

simplify42.0ms (0.2%)

prune2.0ms (0%)

localize19.0ms (0.1%)

rewrite258.0ms (1.1%)

series2.6s (11.3%)

simplify157.0ms (0.7%)

prune228.0ms (1%)

localize15.0ms (0.1%)

rewrite276.0ms (1.2%)

series2.2s (9.7%)

simplify116.0ms (0.5%)

prune216.0ms (1%)

localize13.0ms (0.1%)

rewrite313.0ms (1.4%)

series2.2s (9.9%)

simplify165.0ms (0.7%)

prune222.0ms (1%)

localize13.0ms (0.1%)

rewrite201.0ms (0.9%)

series1.4s (6.2%)

simplify123.0ms (0.5%)

prune142.0ms (0.6%)

regimes4.4s (19.6%)

bsearch7.0ms (0%)

simplify30.0ms (0.1%)

end0.0ms (0%)

sample4.6s (20.3%)

Profiling

Iter	Nodes	Cost
0	53	180
1	91	180
2	137	180
3	178	180
4	214	180
5	232	180
6	239	180
7	323	180
8	322	180
9	320	180