Details

analyze509.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1294×	`distribute-rgt-in_binary64_710`
652×	`times-frac_binary64_766`
616×	`distribute-rgt-neg-in_binary64_718`
580×	`sub-neg_binary64_753`
578×	`div-sub_binary64_765`
484×	`neg-mul-1_binary64_756`
478×	`neg-sub0_binary64_755`
390×	`distribute-lft-neg-in_binary64_717`
344×	`distribute-lft-neg-out_binary64_719`
326×	`cancel-sign-sub-inv_binary64_726`
300×	`distribute-rgt-neg-out_binary64_720`
274×	`associate-/l*_binary64_705`
248×	`remove-double-neg_binary64_748`
234×	`distribute-neg-frac_binary64_724`
220×	`distribute-neg-in_binary64_721`
206×	`unsub-neg_binary64_754`
186×	`associate--r+_binary64_696`
168×	`distribute-frac-neg_binary64_723`
166×	`*-commutative_binary64_691`
128×	`distribute-lft-in_binary64_709`
118×	`sqr-pow_binary64_732`
116×	`associate-/r*_binary64_704` `+-commutative_binary64_690`
110×	`swap-sqr_binary64_727`
103×	`associate-/l/_binary64_707`
96×	`associate--l-_binary64_698`
94×	`associate-+l-_binary64_695`
86×	`associate-l/_binary64_703` `associate-l*_binary64_701`
84×	`associate-r_binary64_700`
68×	`associate--r-_binary64_699`
64×	`associate--l+_binary64_697`
62×	`associate-/r/_binary64_706`
60×	`associate-+r+_binary64_692`
54×	`associate-+l+_binary64_693`
50×	`div0_binary64_741`
44×	`*-rgt-identity_binary64_750`
42×	`distribute-rgt-out--_binary64_714`
40×	`/-rgt-identity_binary64_751`
39×	`associate-*r/_binary64_702`
38×	`*-lft-identity_binary64_749` `associate-+r-_binary64_694`
34×	`cancel-sign-sub_binary64_725`
30×	`sub0-neg_binary64_747`
26×	`--rgt-identity_binary64_746`
25×	`distribute-rgt-out_binary64_713`
24×	`distribute-neg-out_binary64_722`
22×	`cube-div_binary64_789`
20×	`cube-prod_binary64_788` `+-lft-identity_binary64_744` `remove-double-div_binary64_736`
14×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `difference-of-squares_binary64_729` `distribute-rgt1-in_binary64_716`
12×	`mul-1-neg_binary64_752` `+-rgt-identity_binary64_745` `distribute-lft-out--_binary64_712`
10×	`distribute-lft1-in_binary64_715`
6×	`distribute-lft-out_binary64_711`
4×	`unpow3_binary64_826` `cube-unmult_binary64_797` `cube-mult_binary64_790` `cube-neg_binary64_787` `sqr-neg_binary64_774`
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` `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` `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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `unswap-sqr_binary64_728` `count-2_binary64_708`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	68	32
3	133	32
4	442	32
5	1047	32
6	1882	32
7	2334	32
8	2634	32
9	2969	32
10	3232	32
11	3203	32
12	3272	32
13	3445	32
14	3380	32
15	3559	32
16	3688	32
17	3811	32
18	3966	32
19	4149	32
20	4336	32
21	4523	32
22	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64_706`
530×	`unsub-neg_binary64_754`
520×	`distribute-rgt-in_binary64_710`
518×	`div-sub_binary64_765`
438×	`sub-neg_binary64_753`
424×	`associate-/l*_binary64_705`
393×	`distribute-lft-in_binary64_709`
350×	`distribute-rgt-neg-out_binary64_720`
343×	`distribute-lft-neg-out_binary64_719`
340×	`unswap-sqr_binary64_728`
298×	`associate-/l/_binary64_707`
297×	`neg-mul-1_binary64_756`
273×	`neg-sub0_binary64_755`
243×	`cancel-sign-sub-inv_binary64_726`
214×	`distribute-neg-in_binary64_721`
208×	`distribute-rgt-neg-in_binary64_718`
196×	`distribute-neg-frac_binary64_724` `associate-*l/_binary64_703`
191×	`associate-/r*_binary64_704`
136×	`distribute-lft-neg-in_binary64_717`
122×	`*-commutative_binary64_691`
105×	`associate-*r/_binary64_702`
101×	`associate--r-_binary64_699`
91×	`div0_binary64_741`
85×	`associate--l-_binary64_698`
75×	`difference-of-squares_binary64_729`
72×	`sqr-pow_binary64_732`
68×	`associate--r+_binary64_696`
64×	`associate-l_binary64_701` `associate-+l-_binary64_695`
62×	`associate-r_binary64_700`
58×	`mul0-lft_binary64_742`
57×	`cube-prod_binary64_788` `mul0-rgt_binary64_743`
56×	`distribute-neg-out_binary64_722`
54×	`*-rgt-identity_binary64_750` `associate-+r-_binary64_694` `+-commutative_binary64_690`
51×	`distribute-frac-neg_binary64_723`
44×	`*-lft-identity_binary64_749`
41×	`remove-double-neg_binary64_748`
38×	`associate--l+_binary64_697`
37×	`distribute-rgt-out--_binary64_714`
36×	`cancel-sign-sub_binary64_725`
33×	`swap-sqr_binary64_727`
29×	`associate-+r+_binary64_692`
22×	`distribute-rgt-out_binary64_713`
21×	`associate-+l+_binary64_693`
20×	`pow-sqr_binary64_733`
19×	`distribute-lft-out--_binary64_712`
17×	`pow-plus_binary64_823` `/-rgt-identity_binary64_751`
12×	`cube-neg_binary64_787`
11×	`cube-unmult_binary64_797`
10×	`sub0-neg_binary64_747`
9×	`sqr-neg_binary64_774`
7×	`+-lft-identity_binary64_744` `distribute-rgt1-in_binary64_716`
6×	`unpow3_binary64_826` `--rgt-identity_binary64_746`
5×	`unpow2_binary64_825` `+-rgt-identity_binary64_745`
4×	`distribute-lft1-in_binary64_715`
3×	`unpow1_binary64_818` `distribute-lft-out_binary64_711`
2×	`mul-1-neg_binary64_752`
1×	`unpow1/2_binary64_824` `1-exp_binary64_804` `cube-mult_binary64_790`
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` `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` `*-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` `count-2_binary64_708`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	16
3	72	16
4	207	16
5	430	16
6	715	16
7	1126	16
8	955	16
9	1077	16
10	1417	16
11	1909	16
12	2195	16
13	3288	16
14	3288	16
15	3681	16
16	4740	16

prune2.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite162.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_782`
22×	`*-un-lft-identity_binary64_760`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
10×	`associate-l_binary64_701`
9×	`associate-r_binary64_700` `cancel-sign-sub-inv_binary64_726`
8×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*r/_binary64_702` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712` `times-frac_binary64_766` `associate-/r*_binary64_704` `sub-neg_binary64_753`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `difference-of-sqr-1_binary64_730` `-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705` `diff-log_binary64_852`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1843 to 1217 computations (34% saved)

series690.0ms (9%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

252.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
214.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
131.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
58.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1157 to 849 computations (26.6% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

413×	`div-sub_binary64_765`
344×	`associate-*l/_binary64_703`
336×	`distribute-rgt-in_binary64_710`
316×	`distribute-lft-in_binary64_709`
228×	`*-commutative_binary64_691`
218×	`associate-/r*_binary64_704`
210×	`associate-/l/_binary64_707`
202×	`associate-*r/_binary64_702`
152×	`associate-/r/_binary64_706`
138×	`associate-l_binary64_701`
120×	`exp-prod_binary64_812`
108×	`associate-r_binary64_700`
82×	`log-prod_binary64_846` `associate-/l*_binary64_705`
77×	`exp-sum_binary64_806`
69×	`cube-prod_binary64_788`
54×	`log-div_binary64_847`
53×	`cube-div_binary64_789` `sub-neg_binary64_753` `+-commutative_binary64_690`
40×	`times-frac_binary64_766`
39×	`exp-diff_binary64_808`
32×	`associate-+r+_binary64_692`
30×	`sqr-pow_binary64_732`
27×	`neg-sub0_binary64_755` `*-rgt-identity_binary64_750`
26×	`unsub-neg_binary64_754` `*-lft-identity_binary64_749` `associate-+l-_binary64_695` `associate-+r-_binary64_694` `associate-+l+_binary64_693`
24×	`distribute-rgt-neg-out_binary64_720`
23×	`neg-mul-1_binary64_756` `distribute-rgt-neg-in_binary64_718`
22×	`swap-sqr_binary64_727`
20×	`unswap-sqr_binary64_728` `distribute-lft-neg-out_binary64_719`
18×	`distribute-lft-neg-in_binary64_717`
17×	`distribute-neg-frac_binary64_724`
15×	`distribute-rgt-out_binary64_713`
14×	`cancel-sign-sub-inv_binary64_726` `associate--l+_binary64_697`
12×	`unpow3_binary64_826` `distribute-neg-in_binary64_721`
11×	`/-rgt-identity_binary64_751`
10×	`exp-neg_binary64_807` `mul-1-neg_binary64_752`
9×	`cube-mult_binary64_790`
8×	`log-rec_binary64_848` `distribute-rgt1-in_binary64_716` `distribute-lft-out_binary64_711`
7×	`cube-unmult_binary64_797` `associate--r+_binary64_696`
6×	`associate--l-_binary64_698`
5×	`pow-plus_binary64_823` `sqr-neg_binary64_774` `distribute-frac-neg_binary64_723`
4×	`unpow1/2_binary64_824` `distribute-rgt-out--_binary64_714`
3×	`log-pow_binary64_849` `cube-neg_binary64_787`
2×	`rem-3cbrt-lft_binary64_785` `rem-sqrt-square_binary64_773` `+-rgt-identity_binary64_745` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `div-exp_binary64_811` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `distribute-lft1-in_binary64_715`
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` `rec-exp_binary64_810` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sub0-neg_binary64_747` `--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` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r-_binary64_699`

Counts

141 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1933
1	386	1809
2	1207	1757
3	3726	1752
4	4991	1752

prune113.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Error

0.0b

Counts

120 → 8

Compiler

Compiled 1855 to 759 computations (59.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))

rewrite124.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64_760`
23×	`add-sqr-sqrt_binary64_782`
16×	`add-cube-cbrt_binary64_795`
15×	`times-frac_binary64_766`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
5×	`difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `associate-/l*_binary64_705`
4×	`associate-r_binary64_700`
3×	`associate-l_binary64_701` `associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `div-sub_binary64_765` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `associate-+r-_binary64_694` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))
12.0ms	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
6.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1720 to 597 computations (65.3% saved)

series690.0ms (9%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

247.0ms	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))
203.0ms	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
150.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
61.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1157 to 849 computations (26.6% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

516×	`div-sub_binary64_765`
498×	`distribute-rgt-in_binary64_710`
464×	`distribute-lft-in_binary64_709`
331×	`associate-*l/_binary64_703`
252×	`associate-/l*_binary64_705`
225×	`associate-*r/_binary64_702`
106×	`times-frac_binary64_766`
94×	`associate-/r*_binary64_704`
90×	`exp-prod_binary64_812` `associate-/l/_binary64_707`
84×	`cancel-sign-sub-inv_binary64_726`
75×	`exp-sum_binary64_806` `sub-neg_binary64_753`
74×	`associate-l_binary64_701`
65×	`associate-r_binary64_700`
64×	`*-commutative_binary64_691`
52×	`distribute-lft-neg-out_binary64_719`
49×	`distribute-rgt-out_binary64_713`
48×	`exp-diff_binary64_808`
47×	`distribute-rgt-neg-out_binary64_720` `associate-/r/_binary64_706`
46×	`cube-prod_binary64_788`
41×	`cube-div_binary64_789`
40×	`log-prod_binary64_846`
39×	`distribute-neg-frac_binary64_724`
38×	`distribute-rgt-neg-in_binary64_718`
35×	`log-div_binary64_847` `associate-+l-_binary64_695`
34×	`unswap-sqr_binary64_728`
32×	`+-commutative_binary64_690`
31×	`neg-sub0_binary64_755`
30×	`distribute-lft-neg-in_binary64_717`
26×	`sqr-pow_binary64_732`
24×	`distribute-neg-in_binary64_721`
23×	`distribute-rgt-out--_binary64_714`
21×	`neg-mul-1_binary64_756`
17×	`mul-1-neg_binary64_752` `associate--r+_binary64_696`
15×	`distribute-rgt1-in_binary64_716`
14×	`unsub-neg_binary64_754` `*-lft-identity_binary64_749`
13×	`associate--l+_binary64_697`
12×	`/-rgt-identity_binary64_751` `*-rgt-identity_binary64_750`
11×	`unpow3_binary64_826`
10×	`sqr-neg_binary64_774`
9×	`difference-of-squares_binary64_729` `associate--l-_binary64_698`
8×	`cube-unmult_binary64_797` `swap-sqr_binary64_727` `distribute-lft-out_binary64_711` `associate--r-_binary64_699`
6×	`cube-mult_binary64_790` `cube-neg_binary64_787`
5×	`log-rec_binary64_848` `pow-plus_binary64_823` `distribute-lft1-in_binary64_715` `associate-+r-_binary64_694`
4×	`remove-double-neg_binary64_748` `+-rgt-identity_binary64_745`
3×	`prod-exp_binary64_809` `exp-neg_binary64_807` `pow-sqr_binary64_733` `associate-+l+_binary64_693` `associate-+r+_binary64_692`
2×	`log-pow_binary64_849` `unpow1/2_binary64_824` `sub0-neg_binary64_747` `difference-of-sqr--1_binary64_731` `distribute-lft-out--_binary64_712`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `div-exp_binary64_811` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-sqrt-square_binary64_773` `div0_binary64_741` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723`
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` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `--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` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `count-2_binary64_708`

Counts

133 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2036
1	376	1914
2	1140	1875
3	4194	1875
4	5433	1875

prune64.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 1163 to 426 computations (63.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

rewrite131.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_782`
32×	`*-un-lft-identity_binary64_760`
31×	`times-frac_binary64_766`
24×	`add-cube-cbrt_binary64_795`
19×	`associate-r_binary64_700`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-log-exp_binary64_799`
8×	`difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
6×	`pow1_binary64_821`
5×	`associate-/l*_binary64_705`
3×	`associate-l_binary64_701` `associate-/r*_binary64_704`
2×	`div-exp_binary64_811` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `cbrt-undiv_binary64_794` `unswap-sqr_binary64_728` `div-inv_binary64_757` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `sum-log_binary64_851`
1×	`pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `neg-log_binary64_853` `flip3-+_binary64_763` `flip-+_binary64_734` `neg-sub0_binary64_755` `associate-+l-_binary64_695` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 103

Calls

4 calls:

10.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
6.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
5.0ms	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2132 to 477 computations (77.6% saved)

series686.0ms (8.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

267.0ms	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
189.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
152.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
50.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1128 to 795 computations (29.5% saved)

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-rgt-in_binary64_710`
287×	`times-frac_binary64_766`
245×	`distribute-lft-neg-out_binary64_719`
214×	`distribute-rgt-neg-out_binary64_720`
155×	`cancel-sign-sub-inv_binary64_726`
147×	`cube-prod_binary64_788`
144×	`log-prod_binary64_846`
136×	`exp-prod_binary64_812`
133×	`distribute-rgt-out_binary64_713`
115×	`associate-l_binary64_701`
113×	`div-sub_binary64_765`
109×	`distribute-rgt-neg-in_binary64_718`
94×	`associate-r_binary64_700`
86×	`sub-neg_binary64_753`
79×	`distribute-rgt-out--_binary64_714`
76×	`associate-*r/_binary64_702`
75×	`distribute-lft-neg-in_binary64_717`
73×	`associate-/l_binary64_705` `-commutative_binary64_691`
72×	`associate-*l/_binary64_703`
68×	`log-div_binary64_847`
66×	`exp-sum_binary64_806`
65×	`distribute-neg-frac_binary64_724`
63×	`unsub-neg_binary64_754`
57×	`distribute-lft-out_binary64_711`
55×	`unswap-sqr_binary64_728`
53×	`neg-sub0_binary64_755`
48×	`exp-diff_binary64_808`
44×	`distribute-neg-out_binary64_722`
43×	`neg-mul-1_binary64_756`
41×	`cube-div_binary64_789`
39×	`distribute-frac-neg_binary64_723`
38×	`distribute-lft-in_binary64_709`
34×	`sqr-pow_binary64_732` `associate-/l/_binary64_707`
32×	`+-commutative_binary64_690`
27×	`unpow3_binary64_826` `difference-of-squares_binary64_729`
24×	`distribute-rgt1-in_binary64_716`
22×	`distribute-lft-out--_binary64_712`
21×	`*-lft-identity_binary64_749`
20×	`cube-mult_binary64_790` `*-rgt-identity_binary64_750`
18×	`associate-/r*_binary64_704`
16×	`exp-neg_binary64_807`
15×	`swap-sqr_binary64_727`
14×	`distribute-neg-in_binary64_721`
12×	`log-rec_binary64_848`
11×	`/-rgt-identity_binary64_751`
10×	`cube-unmult_binary64_797` `distribute-lft1-in_binary64_715` `associate-/r/_binary64_706`
9×	`mul-1-neg_binary64_752`
8×	`remove-double-neg_binary64_748` `associate-+r-_binary64_694`
6×	`pow-plus_binary64_823` `cube-neg_binary64_787`
5×	`sqr-neg_binary64_774` `+-rgt-identity_binary64_745`
4×	`log-pow_binary64_849` `pow-sqr_binary64_733` `associate-+l-_binary64_695` `associate-+l+_binary64_693`
3×	`associate--r+_binary64_696`
2×	`unpow1/2_binary64_824` `div-exp_binary64_811` `sub0-neg_binary64_747` `associate--l+_binary64_697` `associate-+r+_binary64_692`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `rec-exp_binary64_810` `prod-exp_binary64_809` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-sqrt-square_binary64_773` `--rgt-identity_binary64_746` `div0_binary64_741` `difference-of-sqr--1_binary64_731` `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` `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-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` `+-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_730` `count-2_binary64_708`

Counts

142 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2218
1	422	2081
2	1520	2078
3	4380	2078
4	4986	2078
5	4978	2078

prune78.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Error

0.0b

Counts

99 → 6

Compiler

Compiled 1494 to 374 computations (75% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
0.2b	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.3b	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
0.3b	(/.f64 m (sqrt.f64 v))

rewrite240.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

56×	`add-sqr-sqrt_binary64_782`
45×	`*-un-lft-identity_binary64_760`
44×	`times-frac_binary64_766`
39×	`add-cube-cbrt_binary64_795`
28×	`sqrt-prod_binary64_776`
25×	`associate-r_binary64_700`
22×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
13×	`associate-l_binary64_701`
12×	`associate-/r*_binary64_704`
8×	`pow1_binary64_821`
6×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-*l/_binary64_703`
5×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
4×	`add-log-exp_binary64_799` `associate-/l*_binary64_705` `frac-times_binary64_770` `unswap-sqr_binary64_728` `difference-of-squares_binary64_729`
3×	`div-inv_binary64_757`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-r/_binary64_702` `pow-prod-down_binary64_831` `distribute-lft-out--_binary64_712` `-commutative_binary64_691`
1×	`difference-of-sqr-1_binary64_730`

Counts

4 → 146

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
15.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
12.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
5.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 3517 to 1641 computations (53.3% saved)

series662.0ms (8.6%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

227.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
166.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
144.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
93.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1479 to 1108 computations (25.1% saved)

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-/r*_binary64_704`
443×	`associate-/r/_binary64_706`
427×	`distribute-rgt-in_binary64_710`
408×	`distribute-lft-in_binary64_709`
296×	`div-sub_binary64_765`
178×	`associate-/l*_binary64_705`
149×	`associate-l_binary64_701`
138×	`associate-r_binary64_700`
102×	`times-frac_binary64_766`
98×	`*-commutative_binary64_691`
91×	`associate-*l/_binary64_703`
89×	`associate-*r/_binary64_702`
76×	`log-div_binary64_847`
74×	`log-prod_binary64_846`
71×	`exp-prod_binary64_812` `cube-div_binary64_789` `associate-/l/_binary64_707`
68×	`sub-neg_binary64_753`
66×	`cube-prod_binary64_788`
64×	`cancel-sign-sub-inv_binary64_726`
49×	`*-rgt-identity_binary64_750`
43×	`exp-sum_binary64_806`
41×	`distribute-neg-frac_binary64_724`
38×	`distribute-rgt-neg-in_binary64_718`
35×	`*-lft-identity_binary64_749`
34×	`sqr-pow_binary64_732`
32×	`distribute-lft-neg-in_binary64_717`
31×	`+-commutative_binary64_690`
27×	`distribute-lft-neg-out_binary64_719`
26×	`/-rgt-identity_binary64_751`
25×	`neg-sub0_binary64_755`
23×	`distribute-rgt-neg-out_binary64_720`
22×	`neg-mul-1_binary64_756`
20×	`unswap-sqr_binary64_728`
18×	`unpow3_binary64_826` `swap-sqr_binary64_727`
16×	`unsub-neg_binary64_754`
14×	`exp-diff_binary64_808` `cube-mult_binary64_790`
12×	`distribute-neg-in_binary64_721`
11×	`log-rec_binary64_848` `distribute-rgt-out--_binary64_714`
9×	`mul-1-neg_binary64_752`
7×	`distribute-rgt-out_binary64_713`
6×	`associate--l+_binary64_697`
5×	`cube-unmult_binary64_797` `distribute-rgt1-in_binary64_716`
4×	`unpow1/2_binary64_824` `rem-sqrt-square_binary64_773` `associate--r+_binary64_696` `associate-+l+_binary64_693`
3×	`pow-sqr_binary64_733` `difference-of-squares_binary64_729`
2×	`log-pow_binary64_849` `unpow2_binary64_825` `pow-plus_binary64_823` `unpow1_binary64_818` `remove-double-div_binary64_736` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
1×	`exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `+-rgt-identity_binary64_745` `difference-of-sqr--1_binary64_731` `count-2_binary64_708`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sub0-neg_binary64_747` `--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` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `associate--r-_binary64_699`

Counts

184 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3157
1	516	2673
2	1928	2627
3	4594	2625
4	5339	2625

prune124.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Error

0.0b

Counts

132 → 6

Compiler

Compiled 2242 to 1033 computations (53.9% saved)

regimes519.0ms (6.8%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 5289 to 3653 computations (30.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64_753` `+-commutative_binary64_690`
3×	`*-commutative_binary64_691`
2×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
1×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718`
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-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-in_binary64_717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	23	16
3	27	16
4	29	16
5	29	16

end0.0ms (0%)

sample2.2s (28.5%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
174.0ms	8046×	pre	128	true
2.0ms	46×	body	128	invalid

Compiler

Compiled 1738 to 1197 computations (31.1% saved)

Details

analyze509.0ms (6.6%)

sample29.0ms (0.4%)

simplify126.0ms (1.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite162.0ms (2.1%)

series690.0ms (9%)

simplify95.0ms (1.2%)

prune113.0ms (1.5%)

localize8.0ms (0.1%)

rewrite124.0ms (1.6%)

series690.0ms (9%)

simplify101.0ms (1.3%)

prune64.0ms (0.8%)

localize11.0ms (0.1%)

rewrite131.0ms (1.7%)

series686.0ms (8.9%)

simplify152.0ms (2%)

prune78.0ms (1%)

localize12.0ms (0.2%)

rewrite240.0ms (3.1%)

series662.0ms (8.6%)

simplify143.0ms (1.9%)

prune124.0ms (1.6%)

regimes519.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (28.5%)

Profiling