Details

analyze2.2s (3.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

1294×	`distribute-rgt-in_binary64_710`
1222×	`distribute-lft-in_binary64_709`
573×	`associate-l_binary64_701`
382×	`associate-+l+_binary64_693` `associate-+r+_binary64_692`
310×	`associate-r_binary64_700`
169×	`+-commutative_binary64_690`
156×	`*-commutative_binary64_691`
48×	`sqr-pow_binary64_732` `unswap-sqr_binary64_728`
24×	`cube-unmult_binary64_797`
8×	`unpow3_binary64_826`
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` `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` `1-exp_binary64_804` `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-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `div-sub_binary64_765` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unsub-neg_binary64_754` `sub-neg_binary64_753` `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` `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` `swap-sqr_binary64_727` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `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-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1421
1	612	1421
2	1284	1421
3	2638	1421
4	2765	1421
5	2784	1421
6	2991	1421
7	3418	1421
8	3477	1421
9	6111	1421
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 34 to 27 computations (20.6% saved)

sample84.0ms (0.1%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify211.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

916×	`sqr-pow_binary64_732`
572×	`unswap-sqr_binary64_728`
378×	`pow-sqr_binary64_733`
359×	`associate-+l+_binary64_693`
334×	`*-commutative_binary64_691`
299×	`cube-prod_binary64_788`
285×	`unpow3_binary64_826`
281×	`cube-mult_binary64_790`
231×	`associate-+r+_binary64_692`
186×	`associate-l_binary64_701`
160×	`distribute-rgt-in_binary64_710`
158×	`distribute-lft-in_binary64_709`
156×	`+-commutative_binary64_690`
118×	`associate-r_binary64_700`
68×	`distribute-rgt-out_binary64_713`
38×	`pow-plus_binary64_823`
28×	`distribute-lft-out_binary64_711`
24×	`rem-sqrt-square_binary64_773`
10×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818`
9×	`cube-unmult_binary64_797`
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` `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-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` `times-frac_binary64_766` `div-sub_binary64_765` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unsub-neg_binary64_754` `sub-neg_binary64_753` `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` `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` `swap-sqr_binary64_727` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	49
1	42	49
2	89	49
3	167	49
4	380	49
5	662	49
6	707	49
7	788	49
8	1000	49
9	1093	49
10	1269	49
11	1758	49
12	1827	49
13	1855	49
14	1936	49
15	2077	49
16	2272	49
17	2419	49
18	2738	49
19	3166	49
20	3711	49
21	3999	49
22	4135	49
23	4221	49
24	4301	49
25	4367	49
26	4835	49

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.1b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
31.4b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite268.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

32.0b

Rules

24×	`add-sqr-sqrt_binary64_782`
18×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
12×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`pow1_binary64_821`
9×	`times-frac_binary64_766` `associate-l_binary64_701` `associate-r_binary64_700`
6×	`associate-*l/_binary64_703`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`add-log-exp_binary64_799`
3×	`associate-/l_binary64_705` `associate-/r_binary64_704` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 91

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
10.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 4547 to 1266 computations (72.2% saved)

series15.7s (23.4%)

Error

9.2b

Counts

4 → 128

Calls

4 calls:

13.5s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
508.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
316.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
200.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 45975 to 31312 computations (31.9% saved)

simplify277.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-+r+_binary64_692`
281×	`associate-/l*_binary64_705`
233×	`associate-*r/_binary64_702`
206×	`associate-/r*_binary64_704`
146×	`times-frac_binary64_766`
110×	`associate-r_binary64_700`
31×	`sqr-pow_binary64_732`
26×	`sub-neg_binary64_753`
19×	`associate--l+_binary64_697`
17×	`associate-l_binary64_701`
16×	`associate--r+_binary64_696`
13×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
11×	`unpow3_binary64_826` `cube-mult_binary64_790`
8×	`unpow2_binary64_825`
6×	`swap-sqr_binary64_727`
4×	`cube-prod_binary64_788` `cancel-sign-sub-inv_binary64_726`
3×	`log-prod_binary64_846` `exp-prod_binary64_812` `/-rgt-identity_binary64_751` `*-rgt-identity_binary64_750` `difference-of-squares_binary64_729`
2×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `distribute-neg-in_binary64_721` `distribute-lft-out_binary64_711`
1×	`log-div_binary64_847` `1-exp_binary64_804` `distribute-rgt-out--_binary64_714` `associate-*l/_binary64_703` `associate-+r-_binary64_694`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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` `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-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-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `-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` `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` `unswap-sqr_binary64_728` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+l+_binary64_693` `*-commutative_binary64_691` `+-commutative_binary64_690`

Counts

219 → 125

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1837	26374
1	5183	26374

prune925.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	110	15	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Error

12.9b

Counts

126 → 15

Compiler

Compiled 18687 to 8857 computations (52.6% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.8b	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
27.5b	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
28.4b	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.4b	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))

rewrite792.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

29×	`add-exp-log_binary64_798`
24×	`*-un-lft-identity_binary64_760`
19×	`add-cbrt-cube_binary64_796`
18×	`add-log-exp_binary64_799`
12×	`times-frac_binary64_766` `associate-/r*_binary64_704`
10×	`div-exp_binary64_811` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `sum-log_binary64_851`
7×	`prod-exp_binary64_809` `distribute-lft-out_binary64_711`
6×	`cbrt-undiv_binary64_794` `associate-/r/_binary64_706`
4×	`pow1_binary64_821` `flip3-+_binary64_763` `flip-+_binary64_734`
3×	`cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

4 → 95

Calls

4 calls:

21.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
20.0ms	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
20.0ms	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
18.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))

Compiler

Compiled 14526 to 5990 computations (58.8% saved)

series5.2s (7.8%)

Error

11.2b

Counts

4 → 121

Calls

4 calls:

1.5s	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
1.2s	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
1.1s	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
628.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))

Compiler

Compiled 43282 to 22547 computations (47.9% saved)

simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64_766`
653×	`associate-/l*_binary64_705`
538×	`associate-/r*_binary64_704`
191×	`associate-/r/_binary64_706`
175×	`associate-/l/_binary64_707`
124×	`*-commutative_binary64_691`
115×	`+-commutative_binary64_690`
84×	`associate-+r+_binary64_692`
78×	`distribute-rgt-in_binary64_710`
76×	`sub-neg_binary64_753`
72×	`distribute-lft-in_binary64_709`
47×	`distribute-neg-in_binary64_721`
42×	`associate-r_binary64_700`
38×	`sqr-pow_binary64_732`
33×	`unswap-sqr_binary64_728`
30×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `associate-*r/_binary64_702`
18×	`associate-l_binary64_701`
17×	`distribute-neg-frac_binary64_724`
15×	`log-div_binary64_847` `associate--r+_binary64_696`
14×	`cancel-sign-sub-inv_binary64_726` `distribute-rgt-neg-in_binary64_718`
13×	`distribute-rgt-out_binary64_713` `associate--l+_binary64_697`
12×	`distribute-lft-neg-in_binary64_717`
11×	`exp-prod_binary64_812`
10×	`log-prod_binary64_846` `cube-unmult_binary64_797`
8×	`unpow3_binary64_826` `cube-mult_binary64_790`
7×	`prod-exp_binary64_809` `exp-sum_binary64_806` `swap-sqr_binary64_727`
6×	`unpow2_binary64_825` `unpow1_binary64_818` `/-rgt-identity_binary64_751`
3×	`cube-prod_binary64_788` `div-sub_binary64_765` `distribute-lft-out_binary64_711` `associate-*l/_binary64_703`
2×	`log-pow_binary64_849` `pow-sqr_binary64_733` `distribute-lft-neg-out_binary64_719` `distribute-rgt-out--_binary64_714`
1×	`pow-plus_binary64_823` `1-exp_binary64_804` `cube-div_binary64_789` `unsub-neg_binary64_754` `difference-of-squares_binary64_729` `count-2_binary64_708` `associate-+r-_binary64_694`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `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` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `-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` `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` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+l+_binary64_693`

Counts

216 → 187

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	535	10474
1	1608	8797
2	5507	8797

prune1.4s (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	179	8	187
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	182	20	202

Error

10.4b

Counts

202 → 20

Compiler

Compiled 28595 to 11869 computations (58.5% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.8b	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
28.4b	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.4b	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.6b	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))

rewrite1.0s (1.6%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

Rules

44×	`times-frac_binary64_766`
43×	`*-un-lft-identity_binary64_760`
33×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
24×	`add-exp-log_binary64_798`
20×	`associate-/r*_binary64_704`
18×	`add-log-exp_binary64_799`
16×	`add-cbrt-cube_binary64_796`
12×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
10×	`sum-log_binary64_851`
9×	`div-exp_binary64_811`
8×	`flip3-+_binary64_763` `flip-+_binary64_734`
6×	`associate-/l/_binary64_707`
5×	`cbrt-undiv_binary64_794` `associate-/l*_binary64_705` `distribute-lft-out_binary64_711`
4×	`pow1_binary64_821` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732` `associate-*r/_binary64_702` `frac-add_binary64_768` `prod-exp_binary64_809` `associate-/r/_binary64_706`
3×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793`
1×	`associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

4 → 139

Calls

4 calls:

21.0ms	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
19.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
18.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
17.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))

Compiler

Compiled 20884 to 8317 computations (60.2% saved)

series5.3s (7.9%)

Error

10.0b

Counts

4 → 133

Calls

4 calls:

1.6s	(/.f64 (.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
1.2s	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))
894.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
669.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))

Compiler

Compiled 43506 to 22858 computations (47.5% saved)

simplify194.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

787×	`times-frac_binary64_766`
622×	`associate-/l*_binary64_705`
253×	`distribute-rgt-in_binary64_710`
237×	`distribute-lft-in_binary64_709`
188×	`associate-/r/_binary64_706`
152×	`associate-/l/_binary64_707`
126×	`+-commutative_binary64_690`
119×	`*-commutative_binary64_691`
92×	`associate-+r+_binary64_692`
78×	`sub-neg_binary64_753`
60×	`unswap-sqr_binary64_728`
53×	`distribute-neg-in_binary64_721`
45×	`sqr-pow_binary64_732` `cancel-sign-sub-inv_binary64_726` `associate-/r*_binary64_704`
42×	`associate-r_binary64_700`
36×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
32×	`distribute-rgt-neg-in_binary64_718`
29×	`associate-*r/_binary64_702`
25×	`distribute-lft-neg-in_binary64_717`
18×	`associate-l_binary64_701`
17×	`exp-prod_binary64_812`
15×	`log-prod_binary64_846`
14×	`distribute-neg-frac_binary64_724`
13×	`associate--r+_binary64_696`
12×	`log-div_binary64_847`
11×	`unpow3_binary64_826` `cube-mult_binary64_790` `swap-sqr_binary64_727` `distribute-rgt-out_binary64_713`
10×	`associate--l+_binary64_697`
9×	`exp-sum_binary64_806`
8×	`cube-unmult_binary64_797`
7×	`prod-exp_binary64_809` `/-rgt-identity_binary64_751` `distribute-lft-neg-out_binary64_719`
6×	`unpow2_binary64_825` `unpow1_binary64_818` `distribute-rgt-out--_binary64_714`
5×	`cube-prod_binary64_788`
4×	`log-pow_binary64_849` `pow-sqr_binary64_733` `associate-+r-_binary64_694`
3×	`associate-*l/_binary64_703`
2×	`rem-sqrt-square_binary64_773` `div-sub_binary64_765` `unsub-neg_binary64_754`
1×	`pow-plus_binary64_823` `1-exp_binary64_804` `cube-div_binary64_789` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `difference-of-squares_binary64_729` `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-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `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` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `-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` `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` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+l+_binary64_693`

Counts

272 → 235

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	11691
1	1654	11082
2	5503	11082

prune1.8s (2.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	230	5	235
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	238	17	255

Error

10.0b

Counts

255 → 17

Compiler

Compiled 34623 to 13939 computations (59.7% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.8b	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
29.4b	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.5b	(/.f64 (pow.f64 y 4) (+.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y b)))) (*.f64 (pow.f64 y 3) (+.f64 y a))))
29.6b	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))

rewrite1.2s (1.8%)

Algorithm

1×	rewrite-expression-head

Error

10.0b

Rules

61×	`times-frac_binary64_766`
53×	`*-un-lft-identity_binary64_760`
47×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
24×	`unpow-prod-down_binary64_839`
19×	`add-exp-log_binary64_798` `associate-/r*_binary64_704`
18×	`add-log-exp_binary64_799`
13×	`add-cbrt-cube_binary64_796`
12×	`cube-prod_binary64_788` `flip3-+_binary64_763` `flip-+_binary64_734`
11×	`associate-/l*_binary64_705`
10×	`sum-log_binary64_851`
8×	`div-exp_binary64_811` `sqr-pow_binary64_732` `associate-*r/_binary64_702` `frac-add_binary64_768` `associate-/r/_binary64_706`
6×	`associate-/l/_binary64_707`
4×	`pow1_binary64_821` `cbrt-undiv_binary64_794` `unpow3_binary64_826` `cube-mult_binary64_790`
3×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `distribute-lft-out_binary64_711`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

4 → 163

Calls

4 calls:

19.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
18.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
17.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))
10.0ms	(/.f64 (pow.f64 y 4) (+.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y b)))) (*.f64 (pow.f64 y 3) (+.f64 y a))))

Compiler

Compiled 23993 to 9266 computations (61.4% saved)

series4.5s (6.7%)

Error

9.2b

Counts

4 → 128

Calls

4 calls:

1.2s	(/.f64 (+.f64 (.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (.f64 y (+.f64 (*.f64 y b) c)))) (pow.f64 y 3))
985.0ms	(/.f64 (pow.f64 y 4) (+.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y b)))) (*.f64 (pow.f64 y 3) (+.f64 y a))))
883.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
675.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 a (pow.f64 y 3)) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))

Compiler

Compiled 39809 to 21288 computations (46.5% saved)

simplify205.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-/l*_binary64_705`
437×	`times-frac_binary64_766`
338×	`distribute-rgt-in_binary64_710`
322×	`distribute-lft-in_binary64_709`
171×	`+-commutative_binary64_690`
145×	`associate-/r/_binary64_706`
126×	`associate-+r+_binary64_692`
115×	`associate-/l/_binary64_707`
97×	`*-commutative_binary64_691`
85×	`sub-neg_binary64_753`
63×	`sqr-pow_binary64_732`
61×	`unswap-sqr_binary64_728` `distribute-neg-in_binary64_721`
59×	`cancel-sign-sub-inv_binary64_726`
47×	`associate-/r*_binary64_704`
40×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
39×	`distribute-rgt-neg-in_binary64_718`
29×	`distribute-lft-neg-in_binary64_717` `associate-*r/_binary64_702`
23×	`associate-r_binary64_700`
17×	`unpow3_binary64_826` `exp-prod_binary64_812`
16×	`cube-mult_binary64_790` `associate-l_binary64_701`
15×	`distribute-rgt-out_binary64_713`
14×	`log-prod_binary64_846` `associate--r+_binary64_696`
12×	`swap-sqr_binary64_727`
11×	`cube-prod_binary64_788` `/-rgt-identity_binary64_751` `distribute-neg-frac_binary64_724`
10×	`exp-sum_binary64_806` `distribute-lft-neg-out_binary64_719` `associate--l+_binary64_697`
9×	`log-div_binary64_847` `unpow2_binary64_825`
7×	`prod-exp_binary64_809` `distribute-rgt-out--_binary64_714`
6×	`unpow1_binary64_818` `distribute-lft-out_binary64_711`
5×	`cube-unmult_binary64_797` `difference-of-squares_binary64_729` `associate-+r-_binary64_694`
4×	`log-pow_binary64_849` `pow-sqr_binary64_733`
3×	`rem-sqrt-square_binary64_773` `unsub-neg_binary64_754` `associate-*l/_binary64_703`
2×	`cube-div_binary64_789`
1×	`pow-plus_binary64_823` `1-exp_binary64_804` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `count-2_binary64_708` `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-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `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` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `-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` `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` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+l-_binary64_695`

Counts

291 → 227

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	647	12453
1	1700	11869
2	5115	11869

prune1.6s (2.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	223	4	227
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	227	17	244

Error

9.4b

Counts

244 → 17

Compiler

Compiled 31408 to 12166 computations (61.3% saved)

regimes13.9s (20.7%)

Accuracy

Total 5.0b remaining (51.1%)

Threshold costs 0b (0%)

Compiler

Compiled 150552 to 88047 computations (41.5% saved)

bsearch247.0ms (0.4%)

Steps

Iters	Range		Point
7	8.076499212148781e+66	3.206918646287776e+68	3.162362327673477e+68
9	1.9005974402923034e-25	3.428031627598961e-18	3.3871402978406024e-18
7	-422927637573.2322	-9259300276.229614	-15305887873.150782
8	-3.649044292561312e+76	-1.22351456743818e+72	-6.951769050563065e+74

Compiler

Compiled 1 to 8 computations (-700% saved)

simplify21.0ms (0%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64_690`
21×	`*-commutative_binary64_691`
5×	`sub-neg_binary64_753`
4×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
2×	`distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
1×	`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` `1-exp_binary64_804` `exp-1-e_binary64_803` `exp-0_binary64_802` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `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` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	473
1	125	473
2	132	473
3	142	473
4	149	473
5	154	473
6	156	473
7	156	473

end0.0ms (0%)

sample9.6s (14.4%)

Algorithm

1×

intervals

Results

675.0ms	8000×	body	128	valid
23.0ms	241×	body	128	invalid

Compiler

Compiled 17017 to 9927 computations (41.7% saved)

Details

analyze2.2s (3.2%)

sample84.0ms (0.1%)

simplify211.0ms (0.3%)

prune5.0ms (0%)

localize22.0ms (0%)

rewrite268.0ms (0.4%)

series15.7s (23.4%)

simplify277.0ms (0.4%)

prune925.0ms (1.4%)

localize37.0ms (0.1%)

rewrite792.0ms (1.2%)

series5.2s (7.8%)

simplify162.0ms (0.2%)

prune1.4s (2.1%)

localize45.0ms (0.1%)

rewrite1.0s (1.6%)

series5.3s (7.9%)

simplify194.0ms (0.3%)

prune1.8s (2.6%)

localize53.0ms (0.1%)

rewrite1.2s (1.8%)

series4.5s (6.7%)

simplify205.0ms (0.3%)

prune1.6s (2.4%)

regimes13.9s (20.7%)

bsearch247.0ms (0.4%)

simplify21.0ms (0%)

end0.0ms (0%)

sample9.6s (14.4%)

Profiling