Details

analyze758.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

786×	`div-sub_binary64_765`
707×	`sub-neg_binary64_753`
532×	`associate-/l*_binary64_705`
324×	`neg-mul-1_binary64_756`
302×	`neg-sub0_binary64_755`
297×	`unsub-neg_binary64_754`
296×	`cancel-sign-sub-inv_binary64_726`
275×	`distribute-neg-frac_binary64_724`
257×	`distribute-rgt-neg-in_binary64_718`
253×	`distribute-rgt-in_binary64_710`
243×	`associate-r_binary64_700`
217×	`associate-/r*_binary64_704`
215×	`+-commutative_binary64_690`
207×	`associate-+l-_binary64_695`
200×	`distribute-neg-out_binary64_722`
198×	`distribute-frac-neg_binary64_723`
184×	`distribute-lft-in_binary64_709`
182×	`distribute-lft-neg-in_binary64_717`
181×	`distribute-rgt-neg-out_binary64_720`
172×	`associate-+r-_binary64_694`
164×	`distribute-lft-neg-out_binary64_719`
150×	`distribute-lft-out_binary64_711` `associate--l-_binary64_698`
130×	`associate-l_binary64_701`
99×	`*-commutative_binary64_691`
90×	`distribute-neg-in_binary64_721`
83×	`associate-/r/_binary64_706`
59×	`div0_binary64_741`
57×	`*-lft-identity_binary64_749`
56×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
51×	`associate--r+_binary64_696`
38×	`+-lft-identity_binary64_744`
33×	`associate--r-_binary64_699`
32×	`*-rgt-identity_binary64_750`
27×	`/-rgt-identity_binary64_751` `sub0-neg_binary64_747`
26×	`remove-double-neg_binary64_748` `associate-/l/_binary64_707`
15×	`distribute-rgt-out_binary64_713`
12×	`+-rgt-identity_binary64_745` `associate-+r+_binary64_692`
11×	`associate-+l+_binary64_693`
10×	`distribute-rgt-out--_binary64_714`
8×	`swap-sqr_binary64_727`
6×	`associate--l+_binary64_697`
5×	`--rgt-identity_binary64_746`
4×	`sqr-neg_binary64_774` `cancel-sign-sub_binary64_725`
2×	`distribute-lft-out--_binary64_712`
1×	`1-exp_binary64_804` `associate-*l/_binary64_703`
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` `times-frac_binary64_766` `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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-r/_binary64_702`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	154
1	88	154
2	180	154
3	300	154
4	678	154
5	972	154
6	1315	154
7	2910	154
8	2831	154
9	3257	154
10	3679	154
11	3933	154
12	4983	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64_766`
766×	`div-sub_binary64_765`
654×	`unswap-sqr_binary64_728`
570×	`unsub-neg_binary64_754`
551×	`cancel-sign-sub-inv_binary64_726`
484×	`sub-neg_binary64_753`
402×	`distribute-rgt-neg-in_binary64_718`
391×	`associate-/r/_binary64_706`
335×	`distribute-rgt-in_binary64_710`
299×	`distribute-lft-in_binary64_709`
279×	`associate-/l*_binary64_705`
268×	`neg-sub0_binary64_755`
241×	`neg-mul-1_binary64_756` `distribute-frac-neg_binary64_723`
217×	`distribute-lft-neg-in_binary64_717`
211×	`distribute-neg-frac_binary64_724`
187×	`+-commutative_binary64_690`
168×	`associate-+l-_binary64_695`
152×	`associate-/r*_binary64_704`
118×	`distribute-rgt-out--_binary64_714`
73×	`distribute-lft-neg-out_binary64_719`
70×	`distribute-rgt-neg-out_binary64_720`
60×	`swap-sqr_binary64_727`
53×	`*-commutative_binary64_691`
52×	`mul0-rgt_binary64_743`
51×	`mul0-lft_binary64_742` `associate-r_binary64_700`
45×	`associate--l-_binary64_698`
39×	`distribute-neg-in_binary64_721`
37×	`remove-double-neg_binary64_748`
34×	`associate-l_binary64_701`
25×	`--rgt-identity_binary64_746` `associate--r+_binary64_696`
24×	`div0_binary64_741`
22×	`/-rgt-identity_binary64_751` `*-lft-identity_binary64_749`
19×	`associate--r-_binary64_699`
18×	`distribute-rgt-out_binary64_713`
17×	`+-lft-identity_binary64_744`
16×	`associate--l+_binary64_697`
14×	`associate-/l/_binary64_707` `associate-+r-_binary64_694`
11×	`sub0-neg_binary64_747` `cancel-sign-sub_binary64_725`
9×	`*-rgt-identity_binary64_750`
7×	`mul-1-neg_binary64_752` `associate-+l+_binary64_693`
6×	`sqr-neg_binary64_774` `distribute-neg-out_binary64_722`
4×	`*-inverses_binary64_740`
3×	`+-rgt-identity_binary64_745` `associate-+r+_binary64_692`
2×	`remove-double-div_binary64_736` `associate-*l/_binary64_703`
1×	`1-exp_binary64_804` `associate-*r/_binary64_702`
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_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` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	23	22
2	43	22
3	69	22
4	132	22
5	186	22
6	246	22
7	385	22
8	533	22
9	650	22
10	697	22
11	2043	22
12	3598	22
13	3068	22
14	3257	22
15	3443	22
16	3848	22
17	5230	22

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

29.0b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.7b	(-.f64 (.f64 b c) (.f64 a d))
28.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite88.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

28.9b

Rules

11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 55

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
3.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1509 to 201 computations (86.7% saved)

series905.0ms (7.7%)

Error

6.4b

Counts

3 → 69

Calls

3 calls:

504.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
210.0ms	(-.f64 (.f64 b c) (.f64 a d))
138.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2499 to 1600 computations (36% saved)

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-l_binary64_701`
413×	`associate-r_binary64_700`
273×	`associate-/l*_binary64_705`
263×	`times-frac_binary64_766`
221×	`associate-*l/_binary64_703`
210×	`distribute-rgt-in_binary64_710`
195×	`distribute-lft-in_binary64_709`
183×	`div-sub_binary64_765`
171×	`associate-/r*_binary64_704`
160×	`associate-*r/_binary64_702`
156×	`cancel-sign-sub-inv_binary64_726`
114×	`associate-/l/_binary64_707`
90×	`distribute-rgt-neg-in_binary64_718`
82×	`associate-/r/_binary64_706`
76×	`distribute-lft-neg-in_binary64_717`
70×	`exp-prod_binary64_812`
66×	`unswap-sqr_binary64_728`
60×	`sub-neg_binary64_753`
46×	`*-commutative_binary64_691`
42×	`sqr-pow_binary64_732`
37×	`distribute-neg-frac_binary64_724`
34×	`neg-sub0_binary64_755`
33×	`cube-prod_binary64_788`
32×	`neg-mul-1_binary64_756`
29×	`+-commutative_binary64_690`
28×	`distribute-rgt-out_binary64_713`
22×	`distribute-lft-neg-out_binary64_719`
19×	`cube-div_binary64_789`
14×	`unpow3_binary64_826` `exp-sum_binary64_806` `cube-unmult_binary64_797`
13×	`pow-plus_binary64_823`
12×	`cube-mult_binary64_790`
11×	`exp-diff_binary64_808` `distribute-lft-out_binary64_711`
10×	`difference-of-squares_binary64_729`
9×	`distribute-rgt-neg-out_binary64_720`
8×	`distribute-neg-in_binary64_721`
7×	`distribute-rgt-out--_binary64_714`
6×	`/-rgt-identity_binary64_751` `*-rgt-identity_binary64_750` `pow-sqr_binary64_733` `associate--l+_binary64_697` `associate--r+_binary64_696`
5×	`unsub-neg_binary64_754`
4×	`log-div_binary64_847` `swap-sqr_binary64_727` `associate-+l+_binary64_693`
3×	`mul-1-neg_binary64_752`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `div0_binary64_741` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
1×	`log-prod_binary64_846` `div-exp_binary64_811` `prod-exp_binary64_809` `1-exp_binary64_804` `cube-neg_binary64_787` `*-lft-identity_binary64_749` `remove-double-neg_binary64_748` `+-rgt-identity_binary64_745` `cancel-sign-sub_binary64_725` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `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` `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-square-sqrt_binary64_772` `sub0-neg_binary64_747` `--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-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--l-_binary64_698`

Counts

124 → 109

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	2508
1	380	2358
2	1221	2358
3	4599	2358
4	5011	2358

prune108.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Error

7.9b

Counts

110 → 8

Compiler

Compiled 2251 to 351 computations (84.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
32.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
32.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite138.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

23×	`add-sqr-sqrt_binary64_782`
21×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
18×	`sqrt-prod_binary64_776` `times-frac_binary64_766`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777` `associate-/r*_binary64_704`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 3272 to 353 computations (89.2% saved)

series1.3s (11.2%)

Error

7.9b

Counts

4 → 98

Calls

4 calls:

629.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
234.0ms	(-.f64 (.f64 c b) (.f64 d a))
180.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
168.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6128 to 3296 computations (46.2% saved)

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64_766`
491×	`associate-/l*_binary64_705`
266×	`cancel-sign-sub-inv_binary64_726`
202×	`neg-mul-1_binary64_756`
175×	`div-sub_binary64_765`
170×	`distribute-rgt-neg-in_binary64_718`
154×	`distribute-lft-neg-in_binary64_717`
134×	`sub-neg_binary64_753`
133×	`associate-/r/_binary64_706`
117×	`distribute-neg-frac_binary64_724`
114×	`associate-/l/_binary64_707`
108×	`distribute-rgt-in_binary64_710`
89×	`associate-r_binary64_700`
87×	`distribute-lft-in_binary64_709`
85×	`associate-l_binary64_701`
73×	`*-commutative_binary64_691`
67×	`neg-sub0_binary64_755`
54×	`unswap-sqr_binary64_728` `+-commutative_binary64_690`
45×	`associate-/r*_binary64_704`
43×	`sqr-pow_binary64_732`
42×	`exp-prod_binary64_812`
30×	`associate--r+_binary64_696`
26×	`cube-prod_binary64_788`
25×	`distribute-neg-in_binary64_721` `associate-*l/_binary64_703` `associate--l+_binary64_697`
24×	`distribute-lft-neg-out_binary64_719` `associate-*r/_binary64_702`
22×	`unsub-neg_binary64_754`
21×	`distribute-rgt-out_binary64_713`
18×	`cube-div_binary64_789`
16×	`unpow3_binary64_826`
12×	`cube-mult_binary64_790`
11×	`cube-unmult_binary64_797` `associate-+l+_binary64_693`
10×	`exp-sum_binary64_806` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
9×	`distribute-lft-out_binary64_711`
8×	`exp-diff_binary64_808` `*-rgt-identity_binary64_750`
6×	`pow-plus_binary64_823` `/-rgt-identity_binary64_751` `distribute-rgt-neg-out_binary64_720`
4×	`rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `swap-sqr_binary64_727` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
3×	`log-div_binary64_847` `+-rgt-identity_binary64_745` `pow-sqr_binary64_733` `distribute-lft-out--_binary64_712`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `associate-+l-_binary64_695`
1×	`log-prod_binary64_846` `div-exp_binary64_811` `1-exp_binary64_804` `cube-neg_binary64_787` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `*-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `cancel-sign-sub_binary64_725` `associate--r-_binary64_699`
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` `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` `rec-exp_binary64_810` `prod-exp_binary64_809` `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-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--l-_binary64_698`

Counts

184 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	4182
1	533	3926
2	1713	3902
3	4628	3902
4	5071	3902

prune144.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	117	10	127

Error

7.9b

Counts

127 → 10

Compiler

Compiled 3610 to 733 computations (79.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
32.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
32.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite137.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

23×	`add-sqr-sqrt_binary64_782`
21×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
18×	`sqrt-prod_binary64_776` `times-frac_binary64_766`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777` `associate-/r*_binary64_704`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 3444 to 530 computations (84.6% saved)

series1.3s (11.4%)

Error

7.9b

Counts

4 → 98

Calls

4 calls:

615.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
245.0ms	(-.f64 (.f64 c b) (.f64 d a))
197.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
172.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6576 to 3767 computations (42.7% saved)

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64_766`
491×	`associate-/l*_binary64_705`
266×	`cancel-sign-sub-inv_binary64_726`
202×	`neg-mul-1_binary64_756`
175×	`div-sub_binary64_765`
170×	`distribute-rgt-neg-in_binary64_718`
154×	`distribute-lft-neg-in_binary64_717`
134×	`sub-neg_binary64_753`
133×	`associate-/r/_binary64_706`
117×	`distribute-neg-frac_binary64_724`
114×	`associate-/l/_binary64_707`
108×	`distribute-rgt-in_binary64_710`
89×	`associate-r_binary64_700`
87×	`distribute-lft-in_binary64_709`
85×	`associate-l_binary64_701`
73×	`*-commutative_binary64_691`
67×	`neg-sub0_binary64_755`
54×	`unswap-sqr_binary64_728` `+-commutative_binary64_690`
45×	`associate-/r*_binary64_704`
43×	`sqr-pow_binary64_732`
42×	`exp-prod_binary64_812`
30×	`associate--r+_binary64_696`
26×	`cube-prod_binary64_788`
25×	`distribute-neg-in_binary64_721` `associate-*l/_binary64_703` `associate--l+_binary64_697`
24×	`distribute-lft-neg-out_binary64_719` `associate-*r/_binary64_702`
22×	`unsub-neg_binary64_754`
21×	`distribute-rgt-out_binary64_713`
18×	`cube-div_binary64_789`
16×	`unpow3_binary64_826`
12×	`cube-mult_binary64_790`
11×	`cube-unmult_binary64_797` `associate-+l+_binary64_693`
10×	`exp-sum_binary64_806` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
9×	`distribute-lft-out_binary64_711`
8×	`exp-diff_binary64_808` `*-rgt-identity_binary64_750`
6×	`pow-plus_binary64_823` `/-rgt-identity_binary64_751` `distribute-rgt-neg-out_binary64_720`
4×	`rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `swap-sqr_binary64_727` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
3×	`log-div_binary64_847` `+-rgt-identity_binary64_745` `pow-sqr_binary64_733` `distribute-lft-out--_binary64_712`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `associate-+l-_binary64_695`
1×	`log-prod_binary64_846` `div-exp_binary64_811` `1-exp_binary64_804` `cube-neg_binary64_787` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `*-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `cancel-sign-sub_binary64_725` `associate--r-_binary64_699`
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` `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` `rec-exp_binary64_810` `prod-exp_binary64_809` `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-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--l-_binary64_698`

Counts

184 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	4182
1	533	3926
2	1713	3902
3	4628	3902
4	5071	3902

prune151.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	118	11	129

Error

7.9b

Counts

129 → 11

Compiler

Compiled 3839 to 998 computations (74% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.4b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
17.4b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
17.4b	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))
18.9b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))

rewrite214.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

60×	`times-frac_binary64_766`
33×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
27×	`cbrt-prod_binary64_791`
24×	`associate-/r*_binary64_704`
22×	`cbrt-div_binary64_792`
16×	`add-exp-log_binary64_798`
11×	`flip3--_binary64_764` `flip--_binary64_735`
10×	`add-cbrt-cube_binary64_796`
8×	`associate-/l/_binary64_707`
6×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
5×	`associate-/r/_binary64_706`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `frac-times_binary64_770`
3×	`div-inv_binary64_757` `pow1/3_binary64_842`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l*_binary64_705`

Counts

4 → 115

Calls

4 calls:

20.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))
6.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
3.0ms	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))
3.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))

Compiler

Compiled 5979 to 522 computations (91.3% saved)

series2.1s (17.4%)

Error

6.3b

Counts

4 → 99

Calls

4 calls:

601.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 (-.f64 (.f64 c b) (*.f64 d a)))))
439.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
438.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
434.0ms	(cbrt.f64 (-.f64 (.f64 c b) (.f64 d a)))

Compiler

Compiled 10249 to 6018 computations (41.3% saved)

simplify264.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

214 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	359	8812
1	924	7706
2	3078	7627
3	4638	7195
4	4837	7195
5	5020	7195

prune236.0ms (2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	194	11	205

Error

5.8b

Counts

205 → 11

Compiler

Compiled 7631 to 893 computations (88.3% saved)

regimes1.5s (12.7%)

Accuracy

Total 10.4b remaining (66.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8691 to 4951 computations (43% saved)

bsearch101.0ms (0.9%)

Steps

Iters	Range		Point
9	1.14992873507801e+103	1.1930782016106287e+112	1.1649363628593953e+112
8	3.056850986401473e-96	1.1403358842371313e-91	3.1719901827793896e-93
7	-1.572545261281905e-55	-1.1655645336731119e-57	-3.0902158100781017e-56
8	-1.2472261817713055e+120	-4.37088290953891e+117	-6.1667146794926305e+118

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_690`
7×	`sub-neg_binary64_753` `*-commutative_binary64_691`
5×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
2×	`cancel-sign-sub-inv_binary64_726` `distribute-neg-frac_binary64_724` `distribute-rgt-neg-in_binary64_718`
1×	`distribute-lft-neg-out_binary64_719` `distribute-lft-neg-in_binary64_717`
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_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: 0 (0.0ms)

Iter	Nodes	Cost
0	35	128
1	49	128
2	63	128
3	72	128
4	77	128
5	78	128
6	78	128

end0.0ms (0%)

sample1.7s (14.7%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	128	valid
19.0ms	503×	body	128	invalid

Compiler

Compiled 1830 to 1031 computations (43.7% saved)

Details

analyze758.0ms (6.4%)

sample21.0ms (0.2%)

simplify127.0ms (1.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite88.0ms (0.7%)

series905.0ms (7.7%)

simplify101.0ms (0.9%)

prune108.0ms (0.9%)

localize14.0ms (0.1%)

rewrite138.0ms (1.2%)

series1.3s (11.2%)

simplify139.0ms (1.2%)

prune144.0ms (1.2%)

localize14.0ms (0.1%)

rewrite137.0ms (1.2%)

series1.3s (11.4%)

simplify146.0ms (1.2%)

prune151.0ms (1.3%)

localize18.0ms (0.2%)

rewrite214.0ms (1.8%)

series2.1s (17.4%)

simplify264.0ms (2.2%)

prune236.0ms (2%)

regimes1.5s (12.7%)

bsearch101.0ms (0.9%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.7s (14.7%)

Profiling