Details

analyze531.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64_765`
690×	`sub-neg_binary64_753`
581×	`neg-mul-1_binary64_756`
491×	`neg-sub0_binary64_755`
476×	`associate-/r*_binary64_704`
402×	`distribute-neg-frac_binary64_724`
321×	`distribute-rgt-neg-in_binary64_718`
280×	`distribute-rgt-neg-out_binary64_720`
252×	`distribute-lft-neg-out_binary64_719`
251×	`distribute-lft-neg-in_binary64_717`
232×	`+-commutative_binary64_690`
226×	`associate-/r/_binary64_706`
220×	`associate-/l*_binary64_705`
217×	`associate-*l/_binary64_703`
201×	`associate-+l-_binary64_695`
198×	`remove-double-neg_binary64_748`
195×	`distribute-rgt-in_binary64_710`
184×	`cancel-sign-sub-inv_binary64_726`
144×	`times-frac_binary64_766`
141×	`unsub-neg_binary64_754`
131×	`associate-/l/_binary64_707`
119×	`associate-*r/_binary64_702`
117×	`associate--r+_binary64_696`
106×	`distribute-lft-in_binary64_709`
93×	`distribute-frac-neg_binary64_723`
88×	`sub0-neg_binary64_747`
76×	`cancel-sign-sub_binary64_725`
72×	`*-lft-identity_binary64_749`
71×	`associate--l-_binary64_698`
68×	`distribute-neg-in_binary64_721`
63×	`*-commutative_binary64_691`
61×	`+-lft-identity_binary64_744`
57×	`associate--r-_binary64_699`
54×	`/-rgt-identity_binary64_751`
53×	`+-rgt-identity_binary64_745`
45×	`associate-r_binary64_700`
41×	`associate-+r-_binary64_694`
40×	`associate-+l+_binary64_693`
36×	`div0_binary64_741`
26×	`associate-l_binary64_701`
24×	`--rgt-identity_binary64_746`
18×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `associate--l+_binary64_697`
17×	`associate-+r+_binary64_692`
6×	`*-rgt-identity_binary64_750`
3×	`sqr-neg_binary64_774` `swap-sqr_binary64_727`
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` `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` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `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` `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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `*-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` `sqr-pow_binary64_732` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `distribute-neg-out_binary64_722` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	251×	body	128	valid
8.0ms	279×	pre	128	true
1.0ms	23×	body	128	nan
0.0ms	5×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify340.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64_705`
1150×	`div-sub_binary64_765`
772×	`distribute-rgt-in_binary64_710`
702×	`distribute-lft-in_binary64_709`
619×	`times-frac_binary64_766`
576×	`associate-/r*_binary64_704`
479×	`associate-/r/_binary64_706`
467×	`cancel-sign-sub-inv_binary64_726`
429×	`*-commutative_binary64_691`
426×	`sub-neg_binary64_753`
423×	`unsub-neg_binary64_754`
407×	`associate-/l/_binary64_707`
225×	`distribute-rgt-neg-in_binary64_718`
208×	`distribute-rgt-out--_binary64_714`
201×	`neg-mul-1_binary64_756`
197×	`distribute-lft-neg-in_binary64_717`
192×	`distribute-neg-frac_binary64_724`
188×	`associate-*l/_binary64_703`
163×	`neg-sub0_binary64_755`
156×	`distribute-rgt-out_binary64_713`
136×	`distribute-rgt-neg-out_binary64_720`
121×	`associate--r+_binary64_696`
112×	`+-commutative_binary64_690`
99×	`distribute-lft-neg-out_binary64_719`
80×	`distribute-lft-out_binary64_711`
77×	`associate--r-_binary64_699`
73×	`distribute-frac-neg_binary64_723`
72×	`distribute-lft-out--_binary64_712`
68×	`*-lft-identity_binary64_749` `distribute-neg-out_binary64_722`
66×	`associate-*r/_binary64_702`
62×	`mul0-rgt_binary64_743`
60×	`associate-r_binary64_700`
59×	`associate--l-_binary64_698`
55×	`div0_binary64_741`
54×	`mul0-lft_binary64_742`
51×	`associate-l_binary64_701`
33×	`remove-double-neg_binary64_748`
32×	`associate-+r-_binary64_694`
30×	`+-lft-identity_binary64_744`
28×	`/-rgt-identity_binary64_751` `associate--l+_binary64_697`
27×	`remove-double-div_binary64_736`
22×	`distribute-neg-in_binary64_721`
19×	`sub0-neg_binary64_747` `--rgt-identity_binary64_746`
17×	`*-rgt-identity_binary64_750`
14×	`mul-1-neg_binary64_752` `associate-+l+_binary64_693`
13×	`associate-+l-_binary64_695`
7×	`associate-+r+_binary64_692`
5×	`+-rgt-identity_binary64_745`
3×	`swap-sqr_binary64_727`
1×	`1-exp_binary64_804` `sqr-neg_binary64_774`
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` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `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` `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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
28.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite164.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

26.7b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`difference-of-squares_binary64_729` `sqrt-prod_binary64_776` `times-frac_binary64_766` `associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-out--_binary64_712`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `sqrt-div_binary64_777`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series959.0ms (7.6%)

Error

1.2b

Counts

4 → 72

Calls

4 calls:

295.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
224.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
209.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
149.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64_766`
230×	`distribute-rgt-in_binary64_710`
199×	`distribute-lft-in_binary64_709`
182×	`cancel-sign-sub-inv_binary64_726`
181×	`div-sub_binary64_765`
165×	`distribute-rgt-neg-in_binary64_718`
151×	`distribute-lft-neg-in_binary64_717`
127×	`exp-prod_binary64_812`
119×	`associate-r_binary64_700`
111×	`associate-l_binary64_701`
98×	`sub-neg_binary64_753`
92×	`*-commutative_binary64_691`
91×	`unswap-sqr_binary64_728`
80×	`associate-/l*_binary64_705`
71×	`neg-sub0_binary64_755`
69×	`neg-mul-1_binary64_756`
65×	`distribute-neg-frac_binary64_724`
63×	`distribute-neg-in_binary64_721`
58×	`associate-/r*_binary64_704`
52×	`sqr-pow_binary64_732`
45×	`+-commutative_binary64_690`
44×	`cube-prod_binary64_788`
31×	`distribute-rgt-out_binary64_713`
30×	`associate-*l/_binary64_703`
27×	`unsub-neg_binary64_754` `distribute-lft-neg-out_binary64_719` `associate-*r/_binary64_702`
25×	`exp-sum_binary64_806`
23×	`associate--r+_binary64_696`
22×	`associate-+r+_binary64_692`
20×	`associate-+l+_binary64_693`
17×	`unpow3_binary64_826`
16×	`exp-diff_binary64_808` `distribute-lft-out_binary64_711`
15×	`swap-sqr_binary64_727`
14×	`associate-/r/_binary64_706`
12×	`distribute-rgt-neg-out_binary64_720`
11×	`cube-mult_binary64_790`
10×	`cube-unmult_binary64_797`
9×	`associate-+r-_binary64_694`
8×	`pow-plus_binary64_823` `difference-of-squares_binary64_729`
7×	`+-rgt-identity_binary64_745`
6×	`rem-sqrt-square_binary64_773`
5×	`log-div_binary64_847` `unpow2_binary64_825` `mul-1-neg_binary64_752`
4×	`log-prod_binary64_846` `exp-sqrt_binary64_813` `pow-sqr_binary64_733`
3×	`unpow1/2_binary64_824` `unpow1_binary64_818` `exp-lft-sqr_binary64_815` `cube-div_binary64_789` `associate--l+_binary64_697` `associate-+l-_binary64_695`
2×	`log-pow_binary64_849` `div-exp_binary64_811` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `distribute-neg-out_binary64_722` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712`
1×	`prod-exp_binary64_809` `1-exp_binary64_804` `cube-neg_binary64_787` `rem-3cbrt-lft_binary64_785` `remove-double-neg_binary64_748` `div0_binary64_741` `*-inverses_binary64_740` `cancel-sign-sub_binary64_725` `associate--r-_binary64_699` `associate--l-_binary64_698`
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-cbrt_binary64_814` `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` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `+-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` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-/l/_binary64_707`

Counts

146 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3603
1	550	3323
2	1858	3272
3	4753	3272
4	5207	3272

prune185.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	105	17	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	17	123

Error

0.8b

Counts

123 → 17

Compiler

Compiled 3328 to 1824 computations (45.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite605.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

144×	`add-exp-log_binary64_798`
72×	`prod-exp_binary64_809`
51×	`div-exp_binary64_811`
49×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
40×	`add-sqr-sqrt_binary64_782`
29×	`unpow-prod-down_binary64_839`
25×	`add-cbrt-cube_binary64_796`
20×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
19×	`associate-r_binary64_700`
16×	`unswap-sqr_binary64_728`
15×	`sqr-pow_binary64_732`
14×	`times-frac_binary64_766` `associate-/r*_binary64_704`
13×	`associate-l_binary64_701`
10×	`cube-prod_binary64_788`
8×	`cbrt-unprod_binary64_793`
5×	`cbrt-undiv_binary64_794`
4×	`pow1_binary64_821` `add-log-exp_binary64_799`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705` `unpow3_binary64_826` `cube-mult_binary64_790` `-commutative_binary64_691`

Counts

4 → 188

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8959 to 5346 computations (40.3% saved)

series1.3s (10.4%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

481.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
445.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
176.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
151.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2647 computations (28.3% saved)

simplify178.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

399×	`log-prod_binary64_846`
316×	`associate-l_binary64_701`
293×	`exp-prod_binary64_812` `associate-/l*_binary64_705`
247×	`log-div_binary64_847`
241×	`associate-r_binary64_700`
212×	`times-frac_binary64_766`
129×	`associate-/r*_binary64_704`
100×	`distribute-rgt-neg-in_binary64_718`
97×	`distribute-lft-neg-in_binary64_717`
93×	`unpow3_binary64_826`
90×	`sqr-pow_binary64_732`
89×	`swap-sqr_binary64_727`
84×	`*-commutative_binary64_691`
74×	`cube-prod_binary64_788` `associate-*l/_binary64_703`
70×	`associate-/l/_binary64_707`
66×	`cancel-sign-sub-inv_binary64_726`
65×	`log-pow_binary64_849` `unswap-sqr_binary64_728`
62×	`associate-+l+_binary64_693`
60×	`associate--l+_binary64_697`
51×	`cube-div_binary64_789`
47×	`-rgt-identity_binary64_750` `associate-r/_binary64_702`
42×	`sub-neg_binary64_753` `associate-+r+_binary64_692`
33×	`/-rgt-identity_binary64_751` `associate-/r/_binary64_706`
27×	`+-commutative_binary64_690`
26×	`distribute-neg-frac_binary64_724`
25×	`log-rec_binary64_848`
21×	`*-lft-identity_binary64_749`
20×	`pow-plus_binary64_823` `cube-unmult_binary64_797` `associate--l-_binary64_698`
19×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `associate-+l-_binary64_695`
15×	`pow-sqr_binary64_733`
13×	`associate-+r-_binary64_694`
12×	`rem-sqrt-square_binary64_773`
9×	`associate--r+_binary64_696`
8×	`distribute-rgt-in_binary64_710`
7×	`cube-mult_binary64_790` `count-2_binary64_708`
6×	`unpow1/2_binary64_824` `distribute-lft-neg-out_binary64_719` `distribute-lft-in_binary64_709`
4×	`unpow2_binary64_825` `unpow1_binary64_818` `distribute-rgt-neg-out_binary64_720`
3×	`unsub-neg_binary64_754` `distribute-lft-out_binary64_711`
2×	`rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `distribute-neg-in_binary64_721`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `distribute-rgt-out_binary64_713`
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` `exp-sqrt_binary64_813` `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` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699`

Counts

218 → 153

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	3822
1	522	3473
2	2851	3458
3	4223	3398
4	4977	3398
5	4984	3398

prune409.0ms (3.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	153	17	170

Error

0.8b

Counts

170 → 17

Compiler

Compiled 7241 to 4372 computations (39.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite552.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

90×	`add-exp-log_binary64_798`
46×	`pow1_binary64_821`
45×	`prod-exp_binary64_809`
36×	`pow-exp_binary64_828`
35×	`pow-to-exp_binary64_829`
30×	`div-exp_binary64_811`
26×	`add-cbrt-cube_binary64_796`
25×	`add-sqr-sqrt_binary64_782`
19×	`unpow-prod-down_binary64_839` `pow-prod-down_binary64_831`
13×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`cbrt-unprod_binary64_793` `sqr-pow_binary64_732`
9×	`unswap-sqr_binary64_728`
8×	`associate-l_binary64_701` `associate-r_binary64_700`
7×	`times-frac_binary64_766` `associate-/r*_binary64_704`
4×	`add-log-exp_binary64_799` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
3×	`pow-unpow_binary64_837`
2×	`pow-pow_binary64_832` `rem-cube-cbrt_binary64_783` `pow-plus_binary64_823` `*-commutative_binary64_691` `cbrt-undiv_binary64_794`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `cube-prod_binary64_788` `pow2_binary64_841` `swap-sqr_binary64_727` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705`

Counts

4 → 155

Calls

4 calls:

12.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8492 to 4963 computations (41.6% saved)

series1.0s (8.1%)

Error

0.8b

Counts

4 → 27

Calls

4 calls:

512.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
179.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
135.0ms	(pow.f64 (*.f64 a c) 3)
129.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-/r*_binary64_704`
435×	`unswap-sqr_binary64_728`
378×	`associate-/l/_binary64_707`
376×	`log-prod_binary64_846`
252×	`associate-/r/_binary64_706`
203×	`associate-l_binary64_701`
177×	`associate-r_binary64_700`
176×	`log-div_binary64_847`
120×	`exp-prod_binary64_812`
106×	`associate-/l*_binary64_705`
86×	`sqr-pow_binary64_732`
81×	`cube-prod_binary64_788` `swap-sqr_binary64_727`
76×	`times-frac_binary64_766`
62×	`*-commutative_binary64_691`
45×	`distribute-rgt-neg-in_binary64_718`
44×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717`
32×	`log-pow_binary64_849`
30×	`associate-*l/_binary64_703`
23×	`*-rgt-identity_binary64_750`
21×	`sub-neg_binary64_753`
19×	`associate-*r/_binary64_702`
18×	`cube-div_binary64_789`
16×	`log-rec_binary64_848` `cube-unmult_binary64_797` `/-rgt-identity_binary64_751` `pow-sqr_binary64_733`
13×	`rem-sqrt-square_binary64_773`
12×	`*-lft-identity_binary64_749`
11×	`distribute-rgt-in_binary64_710`
9×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `distribute-lft-in_binary64_709` `associate--l+_binary64_697` `+-commutative_binary64_690`
8×	`distribute-neg-frac_binary64_724`
7×	`pow-plus_binary64_823` `unpow1_binary64_818` `count-2_binary64_708`
6×	`unpow2_binary64_825` `associate-+l+_binary64_693`
5×	`associate-+r+_binary64_692`
4×	`unpow3_binary64_826`
3×	`unpow1/2_binary64_824` `cube-mult_binary64_790`
2×	`rem-square-sqrt_binary64_772` `distribute-lft-neg-out_binary64_719`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-cbrt-cube_binary64_784` `div-sub_binary64_765` `unsub-neg_binary64_754` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
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` `exp-sqrt_binary64_813` `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-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

182 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2407
1	363	2018
2	1595	1994
3	4509	1994
4	5071	1994

prune467.0ms (3.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	151	18	169

Error

0.8b

Counts

169 → 18

Compiler

Compiled 8120 to 4708 computations (42% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 a (.f64 c c))
0.2b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite163.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

32×	`add-exp-log_binary64_798`
24×	`times-frac_binary64_766`
18×	`*-un-lft-identity_binary64_760`
17×	`add-cbrt-cube_binary64_796` `add-sqr-sqrt_binary64_782`
16×	`cancel-sign-sub-inv_binary64_726`
14×	`add-cube-cbrt_binary64_795`
12×	`prod-exp_binary64_809` `associate-/r*_binary64_704`
9×	`div-exp_binary64_811` `unpow-prod-down_binary64_839` `cube-prod_binary64_788`
8×	`pow1_binary64_821`
7×	`add-log-exp_binary64_799`
6×	`cbrt-unprod_binary64_793`
3×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-undiv_binary64_794` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `associate-l_binary64_701`
2×	`div-inv_binary64_757` `diff-log_binary64_852` `distribute-lft-out--_binary64_712`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l_binary64_705` `neg-log_binary64_853` `distribute-neg-frac_binary64_724` `frac-sub_binary64_769` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-rgt-neg-in_binary64_718` `neg-sub0_binary64_755` `associate--l-_binary64_698` `unswap-sqr_binary64_728` `associate-r_binary64_700` `-commutative_binary64_691`

Counts

3 → 99

Calls

3 calls:

30.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
6.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2121 to 809 computations (61.9% saved)

series850.0ms (6.7%)

Error

0.8b

Counts

3 → 33

Calls

3 calls:

414.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
315.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
96.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 1158 to 885 computations (23.6% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

314×	`log-prod_binary64_846`
279×	`distribute-rgt-neg-in_binary64_718`
247×	`distribute-lft-neg-in_binary64_717`
226×	`distribute-neg-frac_binary64_724`
204×	`cancel-sign-sub-inv_binary64_726`
191×	`times-frac_binary64_766`
180×	`unswap-sqr_binary64_728`
175×	`log-div_binary64_847`
132×	`associate-/r*_binary64_704`
130×	`distribute-rgt-in_binary64_710`
127×	`distribute-lft-in_binary64_709`
123×	`associate-/l*_binary64_705`
122×	`associate-r_binary64_700`
116×	`associate-l_binary64_701`
105×	`distribute-lft-neg-out_binary64_719`
99×	`distribute-rgt-neg-out_binary64_720`
86×	`exp-prod_binary64_812`
78×	`div-sub_binary64_765` `*-commutative_binary64_691`
77×	`associate-*l/_binary64_703`
72×	`neg-sub0_binary64_755`
69×	`associate-*r/_binary64_702`
68×	`cube-prod_binary64_788`
63×	`neg-mul-1_binary64_756`
57×	`sub-neg_binary64_753`
49×	`distribute-frac-neg_binary64_723`
48×	`swap-sqr_binary64_727`
47×	`sqr-pow_binary64_732`
41×	`cube-div_binary64_789`
34×	`associate-/l/_binary64_707`
26×	`distribute-rgt-out_binary64_713`
21×	`unsub-neg_binary64_754`
20×	`associate-/r/_binary64_706`
18×	`log-pow_binary64_849` `+-commutative_binary64_690`
17×	`*-rgt-identity_binary64_750`
16×	`unpow3_binary64_826`
15×	`distribute-neg-out_binary64_722`
11×	`cube-mult_binary64_790`
10×	`distribute-neg-in_binary64_721`
9×	`pow-sqr_binary64_733`
8×	`pow-plus_binary64_823` `cube-unmult_binary64_797`
7×	`exp-diff_binary64_808` `rem-sqrt-square_binary64_773` `distribute-lft-out_binary64_711` `associate--l+_binary64_697`
6×	`div0_binary64_741` `distribute-rgt-out--_binary64_714`
5×	`log-rec_binary64_848` `exp-sum_binary64_806` `difference-of-squares_binary64_729` `distribute-rgt1-in_binary64_716` `associate-+l+_binary64_693`
4×	`remove-double-neg_binary64_748`
3×	`exp-neg_binary64_807` `cube-neg_binary64_787` `sqr-neg_binary64_774` `/-rgt-identity_binary64_751` `+-rgt-identity_binary64_745` `cancel-sign-sub_binary64_725` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
2×	`rec-exp_binary64_810` `rem-square-sqrt_binary64_772` `associate-+l-_binary64_695`
1×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `div-exp_binary64_811` `prod-exp_binary64_809` `1-exp_binary64_804` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `mul-1-neg_binary64_752` `*-lft-identity_binary64_749` `sub0-neg_binary64_747` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r+_binary64_696`
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` `exp-sqrt_binary64_813` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `sqr-abs_binary64_775` `--rgt-identity_binary64_746` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-lft1-in_binary64_715` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

132 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2171
1	407	2064
2	1928	2014
3	4574	2014
4	5155	2014

prune84.0ms (0.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	105	20	125

Error

0.8b

Counts

125 → 20

Compiler

Compiled 1717 to 551 computations (67.9% saved)

regimes1.1s (9.1%)

Accuracy

Total 4.5b remaining (87%)

Threshold costs 0b (0%)

Compiler

Compiled 11028 to 7602 computations (31.1% saved)

bsearch6.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64_691`
21×	`+-commutative_binary64_690`
18×	`sub-neg_binary64_753`
13×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
12×	`distribute-rgt-neg-in_binary64_718`
9×	`distribute-lft-neg-in_binary64_717`
5×	`cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-neg-out_binary64_719`
2×	`distribute-neg-frac_binary64_724`
1×	`unsub-neg_binary64_754`
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` `1-exp_binary64_804` `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_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	137
1	87	135
2	123	135
3	155	135
4	174	135
5	180	135
6	181	135
7	181	135

end0.0ms (0%)

sample3.2s (25.1%)

Algorithm

1×

intervals

Results

397.0ms	7707×	body	128	valid
274.0ms	8813×	pre	128	true
41.0ms	813×	body	128	nan
28.0ms	293×	body	256	valid

Compiler

Compiled 2867 to 1974 computations (31.1% saved)

Details

analyze531.0ms (4.2%)

sample38.0ms (0.3%)

simplify340.0ms (2.7%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite164.0ms (1.3%)

series959.0ms (7.6%)

simplify130.0ms (1%)

prune185.0ms (1.5%)

localize26.0ms (0.2%)

rewrite605.0ms (4.8%)

series1.3s (10.4%)

simplify178.0ms (1.4%)

prune409.0ms (3.2%)

localize29.0ms (0.2%)

rewrite552.0ms (4.4%)

series1.0s (8.1%)

simplify115.0ms (0.9%)

prune467.0ms (3.7%)

localize10.0ms (0.1%)

rewrite163.0ms (1.3%)

series850.0ms (6.7%)

simplify109.0ms (0.9%)

prune84.0ms (0.7%)

regimes1.1s (9.1%)

bsearch6.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.2s (25.1%)

Profiling