Details

analyze244.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

868×	`unswap-sqr_binary64_728`
394×	`associate-l_binary64_701`
352×	`exp-prod_binary64_812`
334×	`distribute-neg-frac_binary64_724`
316×	`associate-/l/_binary64_707`
260×	`associate-r_binary64_700`
254×	`associate-/r/_binary64_706`
240×	`sqr-pow_binary64_732`
224×	`associate-/l_binary64_705` `-commutative_binary64_691`
152×	`cancel-sign-sub-inv_binary64_726` `associate-*r/_binary64_702`
150×	`times-frac_binary64_766`
142×	`div-sub_binary64_765`
134×	`associate-/r*_binary64_704`
110×	`exp-diff_binary64_808`
108×	`pow-plus_binary64_823` `associate-*l/_binary64_703`
106×	`cube-prod_binary64_788`
102×	`pow-sqr_binary64_733`
100×	`distribute-rgt-neg-in_binary64_718`
82×	`distribute-lft-neg-in_binary64_717`
72×	`div-exp_binary64_811`
64×	`neg-sub0_binary64_755`
62×	`neg-mul-1_binary64_756`
60×	`exp-sqrt_binary64_813`
54×	`unpow3_binary64_826`
52×	`prod-exp_binary64_809` `rem-sqrt-square_binary64_773`
44×	`swap-sqr_binary64_727`
34×	`sub-neg_binary64_753`
28×	`cube-mult_binary64_790`
26×	`exp-lft-sqr_binary64_815` `cube-unmult_binary64_797`
24×	`distribute-rgt-out_binary64_713`
20×	`unpow2_binary64_825` `*-lft-identity_binary64_749`
14×	`unpow1_binary64_818` `exp-sum_binary64_806` `*-rgt-identity_binary64_750`
12×	`distribute-rgt-in_binary64_710`
10×	`distribute-rgt1-in_binary64_716` `distribute-lft-out_binary64_711`
8×	`unpow1/2_binary64_824` `unsub-neg_binary64_754` `/-rgt-identity_binary64_751` `distribute-rgt-out--_binary64_714`
6×	`rec-exp_binary64_810` `remove-double-neg_binary64_748`
4×	`sub0-neg_binary64_747` `remove-double-div_binary64_736` `distribute-neg-in_binary64_721` `distribute-lft-out--_binary64_712` `distribute-lft-in_binary64_709` `associate--r+_binary64_696` `associate-+l-_binary64_695` `+-commutative_binary64_690`
2×	`unpow-1_binary64_817` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+r-_binary64_694`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803`
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` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `+-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` `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-lft1-in_binary64_715` `associate--l+_binary64_697` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	29	30
2	41	30
3	56	30
4	99	30
5	196	30
6	419	30
7	1110	30
8	2748	30
9	3722	30
10	4851	30
11	4863	30
12	4986	30
13	4924	30
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	64×	body	1024	valid
8.0ms	129×	body	128	valid
5.0ms	43×	body	512	valid
2.0ms	7×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64_766`
434×	`unswap-sqr_binary64_728`
378×	`associate-*l/_binary64_703`
351×	`associate-/l*_binary64_705`
326×	`exp-prod_binary64_812`
324×	`distribute-neg-frac_binary64_724`
252×	`*-commutative_binary64_691`
197×	`associate-l_binary64_701`
184×	`sqr-pow_binary64_732`
158×	`associate-/l/_binary64_707`
138×	`prod-exp_binary64_809`
130×	`associate-r_binary64_700`
127×	`associate-/r/_binary64_706`
120×	`distribute-rgt-neg-in_binary64_718`
98×	`div-sub_binary64_765`
87×	`cancel-sign-sub-inv_binary64_726`
85×	`exp-diff_binary64_808`
82×	`sub-neg_binary64_753`
80×	`pow-sqr_binary64_733`
77×	`distribute-lft-neg-in_binary64_717`
76×	`associate-*r/_binary64_702`
73×	`cube-prod_binary64_788`
70×	`div-exp_binary64_811`
67×	`associate-/r*_binary64_704`
60×	`pow-plus_binary64_823`
57×	`rem-sqrt-square_binary64_773`
44×	`exp-sum_binary64_806` `neg-mul-1_binary64_756`
40×	`neg-sub0_binary64_755`
38×	`exp-sqrt_binary64_813`
34×	`unpow3_binary64_826`
30×	`unsub-neg_binary64_754`
28×	`distribute-rgt-out_binary64_713`
26×	`distribute-rgt-in_binary64_710`
23×	`*-rgt-identity_binary64_750`
22×	`swap-sqr_binary64_727`
20×	`cube-mult_binary64_790` `/-rgt-identity_binary64_751`
17×	`exp-lft-sqr_binary64_815`
16×	`cube-unmult_binary64_797`
13×	`distribute-lft-neg-out_binary64_719`
12×	`associate-+l-_binary64_695`
11×	`associate-+r-_binary64_694`
10×	`unpow2_binary64_825` `unpow1_binary64_818` `rec-exp_binary64_810` `*-lft-identity_binary64_749`
9×	`distribute-lft-out_binary64_711` `associate--l-_binary64_698`
8×	`remove-double-div_binary64_736`
7×	`distribute-rgt-out--_binary64_714` `associate--r-_binary64_699` `associate--r+_binary64_696`
6×	`remove-double-neg_binary64_748` `distribute-rgt-neg-out_binary64_720` `associate-+l+_binary64_693` `associate-+r+_binary64_692`
5×	`distribute-frac-neg_binary64_723` `distribute-neg-in_binary64_721` `distribute-rgt1-in_binary64_716`
4×	`distribute-lft-in_binary64_709` `associate--l+_binary64_697`
3×	`unpow1/2_binary64_824`
2×	`sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690`
1×	`unpow-1_binary64_817` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-div_binary64_789` `--rgt-identity_binary64_746` `distribute-neg-out_binary64_722` `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` `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` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `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` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-lft1-in_binary64_715`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	33	15
4	57	15
5	109	15
6	227	15
7	585	15
8	1455	15
9	2454	15
10	4303	15
11	4786	15
12	4758	15

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

31.1b

Counts

1 → 1

Compiler

Compiled 10 to 11 computations (-10% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.9b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite122.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

30.6b

Rules

27×	`*-un-lft-identity_binary64_760`
24×	`add-sqr-sqrt_binary64_782`
15×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711`
4×	`difference-of-squares_binary64_729` `associate-/r*_binary64_704`
3×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
2×	`difference-of-sqr-1_binary64_730` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1302 to 1188 computations (8.8% saved)

series191.0ms (3.2%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

91.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
61.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
23.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 444 to 432 computations (2.7% saved)

simplify147.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

409×	`cancel-sign-sub-inv_binary64_726`
370×	`sub-neg_binary64_753`
362×	`times-frac_binary64_766`
224×	`*-commutative_binary64_691`
199×	`unswap-sqr_binary64_728`
182×	`div-sub_binary64_765`
160×	`associate-+l+_binary64_693`
157×	`distribute-rgt-in_binary64_710`
155×	`exp-prod_binary64_812`
148×	`neg-mul-1_binary64_756`
146×	`associate-+r+_binary64_692`
141×	`associate-/l*_binary64_705`
126×	`sqr-pow_binary64_732`
124×	`associate-l_binary64_701`
122×	`associate-+l-_binary64_695`
118×	`distribute-lft-in_binary64_709`
114×	`associate-r_binary64_700`
104×	`+-commutative_binary64_690`
99×	`distribute-rgt-neg-in_binary64_718`
98×	`associate-/r*_binary64_704`
97×	`neg-sub0_binary64_755` `distribute-rgt-out_binary64_713`
96×	`associate-/l/_binary64_707`
86×	`distribute-lft-neg-in_binary64_717`
76×	`associate-*l/_binary64_703`
68×	`unsub-neg_binary64_754` `difference-of-squares_binary64_729`
67×	`associate--l+_binary64_697`
57×	`associate-+r-_binary64_694`
56×	`cube-prod_binary64_788`
55×	`sub0-neg_binary64_747`
52×	`unpow3_binary64_826`
51×	`distribute-lft-out_binary64_711`
49×	`exp-sum_binary64_806`
48×	`associate--r+_binary64_696`
42×	`associate-/r/_binary64_706`
41×	`exp-diff_binary64_808`
40×	`associate-*r/_binary64_702`
33×	`+-rgt-identity_binary64_745` `distribute-rgt-out--_binary64_714`
31×	`*-lft-identity_binary64_749`
28×	`*-rgt-identity_binary64_750`
26×	`pow-sqr_binary64_733`
25×	`cube-unmult_binary64_797`
24×	`distribute-rgt1-in_binary64_716`
23×	`cube-div_binary64_789` `distribute-lft-out--_binary64_712`
21×	`log-prod_binary64_846` `pow-plus_binary64_823`
20×	`log-div_binary64_847` `remove-double-neg_binary64_748`
18×	`prod-exp_binary64_809`
16×	`rem-sqrt-square_binary64_773`
12×	`associate--l-_binary64_698`
11×	`mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `distribute-lft1-in_binary64_715`
10×	`difference-of-sqr-1_binary64_730`
9×	`difference-of-sqr--1_binary64_731` `distribute-neg-in_binary64_721` `distribute-lft-neg-out_binary64_719`
8×	`exp-lft-sqr_binary64_815` `--rgt-identity_binary64_746`
7×	`unpow1/2_binary64_824` `div-exp_binary64_811` `cube-mult_binary64_790` `distribute-neg-out_binary64_722`
6×	`exp-sqrt_binary64_813` `swap-sqr_binary64_727` `distribute-rgt-neg-out_binary64_720` `associate--r-_binary64_699`
5×	`log-rec_binary64_848` `unpow1_binary64_818`
4×	`exp-neg_binary64_807` `sqr-neg_binary64_774` `count-2_binary64_708`
3×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
2×	`unpow-1_binary64_817` `cube-neg_binary64_787` `remove-double-div_binary64_736` `cancel-sign-sub_binary64_725`
1×	`unpow2_binary64_825` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-lft_binary64_785` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `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` `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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `distribute-frac-neg_binary64_723`

Counts

84 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1565
1	299	1492
2	646	1472
3	1511	1469
4	3373	1469
5	4447	1469
6	4962	1469
7	4838	1469

prune91.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Error

0.0b

Counts

73 → 2

Compiler

Compiled 1250 to 1127 computations (9.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
16.2b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))

rewrite123.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
13×	`add-exp-log_binary64_798`
10×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `unpow-prod-down_binary64_839`
7×	`add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
6×	`prod-exp_binary64_809` `associate-l_binary64_701`
4×	`cube-prod_binary64_788` `sqr-pow_binary64_732`
3×	`pow1_binary64_821`
2×	`sum-log_binary64_851` `associate-+l+_binary64_693` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`diff-log_binary64_852` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-+l-_binary64_695` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `+-commutative_binary64_690` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

3 → 71

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 1437 to 1129 computations (21.4% saved)

series190.0ms (3.2%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

72.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))
56.0ms	(*.f64 2/15 (pow.f64 x 5))
52.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 331 to 296 computations (10.6% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64_728`
447×	`exp-prod_binary64_812`
390×	`log-prod_binary64_846`
337×	`cancel-sign-sub-inv_binary64_726`
273×	`*-commutative_binary64_691`
203×	`distribute-rgt-neg-in_binary64_718`
159×	`distribute-lft-neg-in_binary64_717`
153×	`distribute-rgt-in_binary64_710`
142×	`distribute-lft-in_binary64_709`
106×	`sqr-pow_binary64_732`
96×	`associate-l_binary64_701` `associate-r_binary64_700`
90×	`associate--r+_binary64_696`
89×	`unsub-neg_binary64_754`
77×	`swap-sqr_binary64_727`
74×	`cube-prod_binary64_788`
71×	`sub-neg_binary64_753`
69×	`distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`
60×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
56×	`associate-/l*_binary64_705`
53×	`distribute-rgt-out_binary64_713`
46×	`unpow3_binary64_826`
42×	`associate-/r*_binary64_704` `associate--l+_binary64_697`
41×	`distribute-neg-in_binary64_721` `associate-+l+_binary64_693`
36×	`exp-sum_binary64_806`
35×	`associate-+r+_binary64_692`
27×	`log-pow_binary64_849` `pow-plus_binary64_823` `+-commutative_binary64_690`
22×	`associate--r-_binary64_699`
18×	`exp-diff_binary64_808`
17×	`pow-sqr_binary64_733`
16×	`distribute-rgt-out--_binary64_714`
15×	`times-frac_binary64_766`
13×	`cube-unmult_binary64_797` `associate-*r/_binary64_702` `associate-+l-_binary64_695`
12×	`cube-mult_binary64_790`
11×	`associate-/l/_binary64_707` `associate-+r-_binary64_694`
10×	`rem-sqrt-square_binary64_773` `distribute-neg-out_binary64_722` `associate-/r/_binary64_706`
8×	`count-2_binary64_708`
7×	`sub0-neg_binary64_747` `distribute-lft-out_binary64_711`
6×	`remove-double-neg_binary64_748` `+-rgt-identity_binary64_745` `associate--l-_binary64_698`
5×	`unpow1/3_binary64_827` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `associate-*l/_binary64_703`
3×	`div-exp_binary64_811` `--rgt-identity_binary64_746`
2×	`unpow2_binary64_825` `prod-exp_binary64_809` `difference-of-squares_binary64_729`
1×	`1-exp_binary64_804` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `*-lft-identity_binary64_749` `distribute-rgt1-in_binary64_716` `distribute-lft-out--_binary64_712`
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` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `rec-exp_binary64_810` `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-div_binary64_789` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `+-lft-identity_binary64_744` `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` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715`

Counts

82 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1100
1	289	1021
2	785	1008
3	1973	1008
4	4455	1000
5	5106	1000

prune50.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

0.0b

Counts

44 → 2

Compiler

Compiled 753 to 574 computations (23.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 x -2)))
0.0b	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
2.9b	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)

rewrite188.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`*-un-lft-identity_binary64_760`
27×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
23×	`add-cube-cbrt_binary64_795`
18×	`exp-prod_binary64_812`
8×	`add-log-exp_binary64_799` `distribute-lft-out_binary64_711`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821`
4×	`associate-/r/_binary64_706` `associate-/r*_binary64_704`
3×	`cancel-sign-sub-inv_binary64_726` `log-prod_binary64_846` `associate--l+_binary64_697` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `div-inv_binary64_757`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `rem-exp-log_binary64_800` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 93

Calls

4 calls:

16.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
9.0ms	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 2058 to 1895 computations (7.9% saved)

series370.0ms (6.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

191.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
69.0ms	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
62.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
23.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 676 to 645 computations (4.6% saved)

simplify121.0ms (2%)

Algorithm

1×	egg-herbie

Rules

449×	`sub-neg_binary64_753`
353×	`times-frac_binary64_766`
333×	`*-commutative_binary64_691`
200×	`associate-+l+_binary64_693`
180×	`cancel-sign-sub-inv_binary64_726`
178×	`distribute-rgt-in_binary64_710`
174×	`distribute-rgt-neg-in_binary64_718`
170×	`associate-+r+_binary64_692`
165×	`distribute-lft-neg-in_binary64_717` `distribute-rgt-out_binary64_713`
153×	`associate-r_binary64_700`
136×	`associate-l_binary64_701`
133×	`associate-+l-_binary64_695`
131×	`distribute-lft-in_binary64_709`
122×	`neg-mul-1_binary64_756`
116×	`neg-sub0_binary64_755`
113×	`exp-prod_binary64_812`
103×	`associate-/l*_binary64_705`
88×	`distribute-lft-out_binary64_711` `associate--l+_binary64_697`
84×	`unsub-neg_binary64_754`
79×	`associate-/r*_binary64_704`
78×	`+-commutative_binary64_690`
74×	`unswap-sqr_binary64_728`
73×	`sqr-pow_binary64_732`
71×	`associate-*l/_binary64_703`
65×	`distribute-rgt-out--_binary64_714`
64×	`associate-/l/_binary64_707`
62×	`associate-+r-_binary64_694`
54×	`associate--r+_binary64_696`
53×	`associate-*r/_binary64_702`
37×	`distribute-lft-out--_binary64_712`
34×	`cube-prod_binary64_788`
32×	`div-sub_binary64_765`
31×	`associate-/r/_binary64_706`
29×	`distribute-rgt1-in_binary64_716`
22×	`exp-diff_binary64_808` `cube-unmult_binary64_797`
21×	`difference-of-squares_binary64_729`
20×	`+-rgt-identity_binary64_745`
17×	`pow-sqr_binary64_733`
16×	`sub0-neg_binary64_747`
15×	`exp-sum_binary64_806`
14×	`pow-plus_binary64_823` `distribute-lft1-in_binary64_715`
13×	`unpow3_binary64_826` `*-rgt-identity_binary64_750`
12×	`*-lft-identity_binary64_749` `associate--l-_binary64_698`
11×	`distribute-rgt-neg-out_binary64_720`
10×	`log-prod_binary64_846` `prod-exp_binary64_809` `distribute-lft-neg-out_binary64_719`
9×	`difference-of-sqr-1_binary64_730` `distribute-neg-in_binary64_721`
8×	`distribute-neg-out_binary64_722`
7×	`rem-sqrt-square_binary64_773`
6×	`cube-div_binary64_789` `mul-1-neg_binary64_752` `cancel-sign-sub_binary64_725` `associate--r-_binary64_699`
5×	`log-div_binary64_847` `unpow1/2_binary64_824` `exp-lft-sqr_binary64_815` `cube-mult_binary64_790` `/-rgt-identity_binary64_751`
4×	`log-pow_binary64_849` `exp-neg_binary64_807` `difference-of-sqr--1_binary64_731` `swap-sqr_binary64_727` `count-2_binary64_708`
3×	`div-exp_binary64_811`
2×	`log-rec_binary64_848` `unpow1_binary64_818` `rem-log-exp_binary64_801` `distribute-neg-frac_binary64_724`
1×	`log-E_binary64_850` `unpow2_binary64_825` `exp-to-pow_binary64_822` `unpow-1_binary64_817` `rec-exp_binary64_810` `e-exp-1_binary64_805` `1-exp_binary64_804` `rem-3cbrt-lft_binary64_785`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-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` `distribute-frac-neg_binary64_723`

Counts

117 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	2047
1	358	1933
2	757	1906
3	1863	1897
4	4108	1894
5	5017	1894

prune139.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	100	2	102

Error

0.0b

Counts

102 → 2

Compiler

Compiled 1920 to 1737 computations (9.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b	(/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1))
0.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))))
2.9b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))) (+.f64 -1 (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1)))))

rewrite344.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

59×	`*-un-lft-identity_binary64_760`
36×	`times-frac_binary64_766`
34×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
22×	`log-pow_binary64_849`
19×	`sqrt-pow1_binary64_778`
18×	`exp-prod_binary64_812`
13×	`distribute-lft-out_binary64_711`
12×	`log-prod_binary64_846`
9×	`add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
7×	`add-log-exp_binary64_799` `pow1_binary64_821`
6×	`associate-+l+_binary64_693` `sqrt-prod_binary64_776` `associate-/r/_binary64_706` `associate-/l*_binary64_705`
4×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`sum-log_binary64_851` `div-inv_binary64_757`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`associate-+r+_binary64_692` `+-commutative_binary64_690` `pow1/2_binary64_840` `rem-log-exp_binary64_801`

Counts

4 → 122

Calls

4 calls:

20.0ms	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))) (+.f64 -1 (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1)))))
9.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
6.0ms	(/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1))

Compiler

Compiled 4312 to 3968 computations (8% saved)

series568.0ms (9.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

240.0ms	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2))))))) (+.f64 -1 (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1)))))
173.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))))
62.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
61.0ms	(/.f64 2 (+.f64 (exp.f64 (*.f64 x -2)) 1))

Compiler

Compiled 1208 to 1132 computations (6.3% saved)

simplify217.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64_766`
348×	`cancel-sign-sub-inv_binary64_726`
251×	`associate--l+_binary64_697`
247×	`distribute-rgt-in_binary64_710`
213×	`distribute-lft-in_binary64_709`
202×	`sub-neg_binary64_753`
170×	`associate--r+_binary64_696`
150×	`associate-*l/_binary64_703`
145×	`div-sub_binary64_765`
138×	`distribute-rgt-out_binary64_713`
128×	`unsub-neg_binary64_754`
120×	`associate-*r/_binary64_702` `associate-+l+_binary64_693`
112×	`associate-r_binary64_700`
110×	`associate-/l*_binary64_705`
109×	`*-commutative_binary64_691`
108×	`associate-+r+_binary64_692`
107×	`associate-l_binary64_701`
103×	`+-commutative_binary64_690`
95×	`associate-/r*_binary64_704`
91×	`distribute-rgt-neg-in_binary64_718`
80×	`log-prod_binary64_846`
78×	`distribute-neg-in_binary64_721` `distribute-lft-neg-in_binary64_717`
68×	`unswap-sqr_binary64_728`
65×	`distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`
62×	`associate-/l/_binary64_707`
54×	`exp-prod_binary64_812` `sqr-pow_binary64_732`
49×	`cube-prod_binary64_788`
46×	`log-pow_binary64_849`
45×	`associate--l-_binary64_698`
43×	`distribute-lft-out_binary64_711` `associate--r-_binary64_699`
39×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `associate-+l-_binary64_695`
33×	`associate-+r-_binary64_694`
29×	`exp-sum_binary64_806`
26×	`associate-/r/_binary64_706`
24×	`log-div_binary64_847`
21×	`rem-log-exp_binary64_801` `cube-unmult_binary64_797`
20×	`+-rgt-identity_binary64_745` `distribute-rgt-out--_binary64_714`
19×	`*-rgt-identity_binary64_750` `distribute-neg-frac_binary64_724`
17×	`unpow3_binary64_826` `prod-exp_binary64_809` `cube-div_binary64_789` `*-lft-identity_binary64_749` `pow-sqr_binary64_733`
15×	`sub0-neg_binary64_747` `distribute-rgt1-in_binary64_716`
12×	`exp-diff_binary64_808`
11×	`distribute-lft1-in_binary64_715`
10×	`mul-1-neg_binary64_752`
7×	`exp-to-pow_binary64_822` `rem-sqrt-square_binary64_773` `distribute-neg-out_binary64_722`
6×	`cube-neg_binary64_787` `/-rgt-identity_binary64_751`
5×	`log-rec_binary64_848` `div-exp_binary64_811` `cube-mult_binary64_790` `difference-of-sqr--1_binary64_731`
4×	`sqr-neg_binary64_774` `difference-of-sqr-1_binary64_730` `swap-sqr_binary64_727` `count-2_binary64_708`
3×	`pow-plus_binary64_823` `--rgt-identity_binary64_746`
2×	`rem-exp-log_binary64_800` `remove-double-neg_binary64_748` `difference-of-squares_binary64_729` `distribute-frac-neg_binary64_723` `distribute-lft-out--_binary64_712`
1×	`unpow1/2_binary64_824` `unpow-1_binary64_817` `exp-lft-sqr_binary64_815` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `1-exp_binary64_804` `rem-square-sqrt_binary64_772` `cancel-sign-sub_binary64_725`
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` `unpow2_binary64_825` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `+-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`

Counts

146 → 113

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	231	3407
1	412	3197
2	906	3091
3	2330	2901
4	3876	2693
5	4990	2693
6	4948	2693
7	4889	2693

prune225.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

0.0b

Counts

115 → 2

Compiler

Compiled 3270 to 2972 computations (9.1% saved)

regimes678.0ms (11.4%)

Accuracy

Total 0.1b remaining (95.3%)

Threshold costs 0.1b (95.3%)

Compiler

Compiled 4952 to 4987 computations (-0.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64_690`
15×	`sub-neg_binary64_753`
14×	`*-commutative_binary64_691`
11×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
5×	`distribute-rgt-neg-in_binary64_718`
3×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717`
2×	`unsub-neg_binary64_754` `distribute-neg-in_binary64_721` `distribute-lft-neg-out_binary64_719`
1×	`1-exp_binary64_804` `*-rgt-identity_binary64_750` `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` `*-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_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	174
1	62	174
2	83	174
3	107	174
4	122	174
5	131	174
6	135	174
7	136	174
8	130	174

end0.0ms (0%)

sample1.7s (28.4%)

Algorithm

1×

intervals

Results

399.0ms	1976×	body	1024	valid
141.0ms	4336×	body	128	valid
116.0ms	974×	body	512	valid
52.0ms	204×	body	2048	valid
38.0ms	510×	body	256	valid

Compiler

Compiled 670 to 664 computations (0.9% saved)

Iter	Nodes	Cost
0	43	174
1	62	174
2	83	174
3	107	174
4	122	174
5	131	174
6	135	174
7	136	174
8	130	174

Iter	Nodes	Cost
0	43	174
1	62	174
2	83	174
3	107	174
4	122	174
5	131	174
6	135	174
7	136	174
8	130	174

Details

analyze244.0ms (4.1%)

sample37.0ms (0.6%)

simplify79.0ms (1.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite122.0ms (2%)

series191.0ms (3.2%)

simplify147.0ms (2.5%)

prune91.0ms (1.5%)

localize9.0ms (0.1%)

rewrite123.0ms (2.1%)

series190.0ms (3.2%)

simplify90.0ms (1.5%)

prune50.0ms (0.8%)

localize10.0ms (0.2%)

rewrite188.0ms (3.2%)

series370.0ms (6.2%)

simplify121.0ms (2%)

prune139.0ms (2.3%)

localize16.0ms (0.3%)

rewrite344.0ms (5.8%)

series568.0ms (9.5%)

simplify217.0ms (3.6%)

prune225.0ms (3.8%)

regimes678.0ms (11.4%)

bsearch2.0ms (0%)

simplify10.0ms (0.2%)

end0.0ms (0%)

sample1.7s (28.4%)

Profiling

Iter	Nodes	Cost
0	43	174
1	62	174
2	83	174
3	107	174
4	122	174
5	131	174
6	135	174
7	136	174
8	130	174