Details

analyze508.0ms (4.2%)

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)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	261×	pre	128	true
0.0ms	5×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify126.0ms (1%)

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

prune3.0ms (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)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite180.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 78

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1366 to 882 computations (35.4% saved)

series483.0ms (4%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

260.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
148.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
59.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 629 to 492 computations (21.8% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

397×	`div-sub_binary64_765`
331×	`associate-*l/_binary64_703`
307×	`distribute-rgt-in_binary64_710`
291×	`unsub-neg_binary64_754`
284×	`distribute-lft-in_binary64_709`
230×	`*-commutative_binary64_691`
216×	`associate-/r*_binary64_704`
210×	`associate-/l/_binary64_707`
201×	`associate-*r/_binary64_702`
152×	`associate-/r/_binary64_706`
127×	`associate-l_binary64_701`
117×	`exp-prod_binary64_812`
103×	`associate-r_binary64_700`
81×	`associate-/l*_binary64_705`
79×	`log-prod_binary64_846`
68×	`cube-prod_binary64_788`
66×	`neg-sub0_binary64_755`
65×	`exp-sum_binary64_806`
57×	`neg-mul-1_binary64_756`
52×	`log-div_binary64_847`
51×	`cube-div_binary64_789`
45×	`sub-neg_binary64_753`
42×	`+-commutative_binary64_690`
40×	`times-frac_binary64_766`
33×	`exp-diff_binary64_808`
28×	`sqr-pow_binary64_732`
27×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
24×	`associate-+r-_binary64_694`
23×	`distribute-rgt-neg-out_binary64_720` `associate-+r+_binary64_692`
21×	`distribute-rgt-neg-in_binary64_718`
20×	`unswap-sqr_binary64_728` `swap-sqr_binary64_727` `associate-+l-_binary64_695`
19×	`distribute-lft-neg-out_binary64_719`
17×	`distribute-neg-frac_binary64_724` `distribute-lft-neg-in_binary64_717`
16×	`associate-+l+_binary64_693`
15×	`associate--l+_binary64_697`
14×	`cancel-sign-sub-inv_binary64_726`
12×	`unpow3_binary64_826`
11×	`/-rgt-identity_binary64_751` `distribute-rgt-out_binary64_713`
10×	`exp-neg_binary64_807` `mul-1-neg_binary64_752` `distribute-neg-in_binary64_721`
9×	`cube-mult_binary64_790`
8×	`log-rec_binary64_848`
7×	`cube-unmult_binary64_797` `associate--l-_binary64_698`
6×	`distribute-lft-out_binary64_711`
5×	`pow-plus_binary64_823` `sqr-neg_binary64_774` `distribute-frac-neg_binary64_723` `associate--r+_binary64_696`
4×	`distribute-rgt1-in_binary64_716` `distribute-rgt-out--_binary64_714`
3×	`log-pow_binary64_849` `unpow1/2_binary64_824` `cube-neg_binary64_787`
2×	`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` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-lft_binary64_785` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748`
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-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-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate--r-_binary64_699`

Counts

108 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1434
1	349	1337
2	1146	1294
3	3506	1287
4	5040	1287

prune101.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

Counts

92 → 10

Compiler

Compiled 1052 to 534 computations (49.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite134.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_782`
25×	`associate-r_binary64_700`
24×	`*-un-lft-identity_binary64_760`
19×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821` `associate-l_binary64_701` `difference-of-squares_binary64_729`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out--_binary64_712`
2×	`pow-prod-down_binary64_831` `add-log-exp_binary64_799` `-commutative_binary64_691` `associate-l/_binary64_703`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-*r/_binary64_702` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`

Counts

2 → 61

Calls

2 calls:

12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)

Compiler

Compiled 1137 to 730 computations (35.8% saved)

series429.0ms (3.5%)

Error

Counts

2 → 24

Calls

2 calls:

261.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
151.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

Compiler

Compiled 523 to 404 computations (22.8% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-/r*_binary64_704`
251×	`associate-/l_binary64_705` `associate-l/_binary64_703`
239×	`associate-*r/_binary64_702`
231×	`distribute-rgt-in_binary64_710`
216×	`distribute-lft-in_binary64_709`
207×	`*-commutative_binary64_691`
174×	`div-sub_binary64_765`
156×	`distribute-lft-neg-out_binary64_719`
154×	`distribute-rgt-neg-out_binary64_720`
145×	`exp-prod_binary64_812`
122×	`associate-l_binary64_701`
116×	`unswap-sqr_binary64_728`
115×	`times-frac_binary64_766`
101×	`associate-r_binary64_700`
100×	`log-prod_binary64_846`
87×	`sub-neg_binary64_753` `associate-/l/_binary64_707`
70×	`*-lft-identity_binary64_749`
66×	`associate-/r/_binary64_706`
65×	`*-rgt-identity_binary64_750`
60×	`distribute-neg-in_binary64_721`
58×	`sqr-pow_binary64_732`
55×	`cancel-sign-sub-inv_binary64_726`
52×	`log-div_binary64_847`
48×	`exp-sum_binary64_806` `distribute-rgt-neg-in_binary64_718`
44×	`unsub-neg_binary64_754`
37×	`distribute-lft-neg-in_binary64_717`
33×	`cube-prod_binary64_788` `distribute-neg-frac_binary64_724`
31×	`neg-sub0_binary64_755`
30×	`distribute-rgt-out_binary64_713`
26×	`+-commutative_binary64_690`
25×	`exp-diff_binary64_808`
23×	`unpow3_binary64_826` `cube-div_binary64_789` `mul-1-neg_binary64_752`
22×	`/-rgt-identity_binary64_751` `swap-sqr_binary64_727`
18×	`associate-+r-_binary64_694`
17×	`neg-mul-1_binary64_756`
16×	`associate-+l-_binary64_695`
13×	`distribute-frac-neg_binary64_723` `distribute-rgt-out--_binary64_714`
12×	`+-rgt-identity_binary64_745`
11×	`associate-+l+_binary64_693` `associate-+r+_binary64_692`
9×	`pow-sqr_binary64_733` `difference-of-squares_binary64_729`
7×	`cube-mult_binary64_790` `distribute-rgt1-in_binary64_716` `associate--l+_binary64_697`
6×	`sub0-neg_binary64_747`
5×	`log-rec_binary64_848` `unpow1/2_binary64_824` `associate--r+_binary64_696`
4×	`pow-plus_binary64_823` `cube-unmult_binary64_797` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730`
3×	`log-pow_binary64_849` `sqr-neg_binary64_774` `remove-double-neg_binary64_748` `remove-double-div_binary64_736` `distribute-lft1-in_binary64_715`
2×	`cube-neg_binary64_787` `distribute-lft-out--_binary64_712` `count-2_binary64_708`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-sqrt-square_binary64_773` `div0_binary64_741` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `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` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711`

Counts

85 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1277
1	307	1210
2	1008	1175
3	2961	1163
4	4834	1163
5	5045	1163

prune87.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	70	10	80

Error

Counts

80 → 10

Compiler

Compiled 924 to 484 computations (47.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.1b	(/.f64 v (-.f64 m (*.f64 m m)))
0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite463.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64_766`
125×	`add-sqr-sqrt_binary64_782`
105×	`*-un-lft-identity_binary64_760`
74×	`add-cube-cbrt_binary64_795`
27×	`difference-of-squares_binary64_729`
26×	`associate-/r*_binary64_704`
20×	`associate-l_binary64_701`
19×	`add-exp-log_binary64_798`
17×	`distribute-rgt-out--_binary64_714`
13×	`add-cbrt-cube_binary64_796`
11×	`associate-/r/_binary64_706`
8×	`div-exp_binary64_811`
7×	`pow1_binary64_821` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`
6×	`add-log-exp_binary64_799` `associate-/l*_binary64_705`
5×	`difference-of-sqr-1_binary64_730`
4×	`cbrt-undiv_binary64_794`
3×	`associate-r_binary64_700`
2×	`1-exp_binary64_804` `rec-exp_binary64_810` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-*l/_binary64_703` `distribute-lft-out--_binary64_712`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 196

Calls

4 calls:

36.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
9.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
5.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 4489 to 1846 computations (58.9% saved)

series629.0ms (5.2%)

Error

Counts

4 → 45

Calls

4 calls:

249.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
154.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
141.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
57.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1096 to 853 computations (22.2% saved)

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

411×	`times-frac_binary64_766`
404×	`associate-/r/_binary64_706`
390×	`distribute-rgt-in_binary64_710`
359×	`associate-/l/_binary64_707`
358×	`distribute-lft-in_binary64_709`
146×	`div-sub_binary64_765`
116×	`*-commutative_binary64_691`
111×	`associate-*l/_binary64_703`
101×	`neg-sub0_binary64_755`
90×	`neg-mul-1_binary64_756`
87×	`exp-prod_binary64_812` `associate-r_binary64_700`
76×	`associate-l_binary64_701`
71×	`associate-/l*_binary64_705`
68×	`associate-*r/_binary64_702`
66×	`sub-neg_binary64_753`
51×	`exp-sum_binary64_806` `*-rgt-identity_binary64_750`
48×	`+-commutative_binary64_690`
44×	`cube-prod_binary64_788` `cancel-sign-sub-inv_binary64_726`
41×	`distribute-neg-in_binary64_721`
39×	`distribute-rgt-out_binary64_713` `associate-/r*_binary64_704`
35×	`log-prod_binary64_846` `sqr-pow_binary64_732` `unswap-sqr_binary64_728`
33×	`distribute-rgt-neg-in_binary64_718`
30×	`distribute-neg-frac_binary64_724`
29×	`unsub-neg_binary64_754`
27×	`associate-+r+_binary64_692`
26×	`distribute-lft-neg-in_binary64_717`
25×	`distribute-lft-neg-out_binary64_719`
23×	`*-lft-identity_binary64_749`
20×	`distribute-rgt-neg-out_binary64_720`
19×	`associate-+l+_binary64_693`
18×	`exp-diff_binary64_808`
17×	`distribute-lft-out_binary64_711`
16×	`cube-div_binary64_789` `mul-1-neg_binary64_752` `distribute-rgt-out--_binary64_714`
15×	`distribute-rgt1-in_binary64_716`
14×	`log-div_binary64_847`
12×	`swap-sqr_binary64_727`
10×	`unpow3_binary64_826` `associate--r+_binary64_696`
9×	`cube-unmult_binary64_797` `difference-of-squares_binary64_729`
7×	`log-rec_binary64_848` `cube-mult_binary64_790` `/-rgt-identity_binary64_751` `associate-+r-_binary64_694`
6×	`remove-double-div_binary64_736`
5×	`+-rgt-identity_binary64_745`
4×	`distribute-lft-out--_binary64_712`
3×	`pow-plus_binary64_823` `cube-neg_binary64_787` `sqr-neg_binary64_774` `div0_binary64_741` `pow-sqr_binary64_733` `associate--r-_binary64_699`
2×	`log-pow_binary64_849` `unpow1/2_binary64_824` `remove-double-neg_binary64_748` `+-lft-identity_binary64_744` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `associate--l+_binary64_697`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `div-exp_binary64_811` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-sqrt-square_binary64_773` `sub0-neg_binary64_747` `distribute-lft1-in_binary64_715` `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` `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` `rem-square-sqrt_binary64_772` `--rgt-identity_binary64_746` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `*-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` `associate--l-_binary64_698` `associate-+l-_binary64_695`

Counts

241 → 192

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	4876
1	598	4482
2	1985	4380
3	4450	4380
4	4984	4380

prune221.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	194	8	202

Error

Counts

202 → 8

Compiler

Compiled 2581 to 1056 computations (59.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite3.2s (26.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2664×	`times-frac_binary64_766`
2086×	`add-sqr-sqrt_binary64_782`
1903×	`*-un-lft-identity_binary64_760`
832×	`add-cube-cbrt_binary64_795`
399×	`sqrt-prod_binary64_776`
286×	`difference-of-squares_binary64_729`
272×	`distribute-rgt-out--_binary64_714`
254×	`distribute-rgt-out_binary64_713`
237×	`associate-/r*_binary64_704`
138×	`distribute-lft-out--_binary64_712`
127×	`distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711`
95×	`associate-/r/_binary64_706`
49×	`div-inv_binary64_757`
42×	`flip3-+_binary64_763` `flip-+_binary64_734`
34×	`add-exp-log_binary64_798`
33×	`associate-/l*_binary64_705`
26×	`associate-l_binary64_701`
22×	`add-cbrt-cube_binary64_796`
19×	`div-exp_binary64_811`
10×	`cbrt-undiv_binary64_794`
7×	`pow1_binary64_821` `difference-of-sqr-1_binary64_730`
6×	`flip3--_binary64_764` `flip--_binary64_735`
4×	`add-log-exp_binary64_799`
3×	`frac-2neg_binary64_771` `clear-num_binary64_759` `1-exp_binary64_804` `rec-exp_binary64_810` `associate-r_binary64_700`
2×	`associate-*l/_binary64_703`
1×	`associate-/l/_binary64_707` `inv-pow_binary64_845` `pow-flip_binary64_834` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

4 → 1272

Calls

4 calls:

244.0ms	(*.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))) 1) m)
57.0ms	(/.f64 1 (/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m)))
19.0ms	(/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))
7.0ms	(/.f64 v (+.f64 m (sqrt.f64 m)))

Compiler

Compiled 30478 to 11108 computations (63.6% saved)

series702.0ms (5.8%)

Error

Counts

4 → 31

Calls

4 calls:

231.0ms	(*.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))) 1) m)
210.0ms	(/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))
141.0ms	(/.f64 1 (/.f64 (/.f64 v (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m)))
105.0ms	(/.f64 v (+.f64 m (sqrt.f64 m)))

Compiler

Compiled 988 to 760 computations (23.1% saved)

simplify1.0s (8.3%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-*l/_binary64_703`
420×	`associate-/r/_binary64_706`
317×	`distribute-rgt-in_binary64_710`
305×	`distribute-lft-in_binary64_709`
295×	`associate-/l*_binary64_705`
289×	`associate-*r/_binary64_702`
258×	`associate-/r*_binary64_704`
164×	`associate-/l/_binary64_707`
74×	`times-frac_binary64_766`
69×	`sub-neg_binary64_753`
39×	`div-sub_binary64_765`
29×	`remove-double-div_binary64_736`
26×	`/-rgt-identity_binary64_751` `*-commutative_binary64_691`
19×	`neg-sub0_binary64_755`
17×	`cancel-sign-sub-inv_binary64_726`
15×	`neg-mul-1_binary64_756`
12×	`sqr-pow_binary64_732` `distribute-neg-frac_binary64_724`
11×	`log-div_binary64_847` `distribute-rgt-neg-in_binary64_718`
10×	`+-commutative_binary64_690`
9×	`log-rec_binary64_848` `associate-l_binary64_701`
8×	`cube-div_binary64_789` `*-lft-identity_binary64_749`
7×	`*-rgt-identity_binary64_750`
6×	`log-prod_binary64_846` `cube-unmult_binary64_797` `mul-1-neg_binary64_752` `swap-sqr_binary64_727` `distribute-neg-in_binary64_721` `distribute-lft-neg-in_binary64_717`
5×	`exp-prod_binary64_812` `distribute-rgt-out_binary64_713`
4×	`unpow3_binary64_826` `cube-prod_binary64_788` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `distribute-rgt1-in_binary64_716` `distribute-rgt-out--_binary64_714` `associate-r_binary64_700`
3×	`cube-mult_binary64_790` `distribute-lft-neg-out_binary64_719`
2×	`unpow2_binary64_825` `unpow1_binary64_818` `difference-of-sqr--1_binary64_731` `associate--r-_binary64_699` `associate--r+_binary64_696`
1×	`log-pow_binary64_849` `exp-diff_binary64_808` `exp-sum_binary64_806` `1-exp_binary64_804` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `unsub-neg_binary64_754` `sub0-neg_binary64_747` `difference-of-sqr-1_binary64_730` `distribute-lft1-in_binary64_715` `associate--l-_binary64_698` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
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` `unpow1/2_binary64_824` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-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` `remove-double-neg_binary64_748` `--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` `pow-sqr_binary64_733` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate--l+_binary64_697` `associate-+l-_binary64_695` `associate-+l+_binary64_693`

Counts

1303 → 1202

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	46263
1	2060	43617
2	4996	43617
3	4984	43617

prune1.1s (9.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1201	1	1202
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	1203	7	1210

Error

Counts

1210 → 7

Compiler

Compiled 15290 to 4838 computations (68.4% saved)

regimes1.4s (11.9%)

Accuracy

Total 0.2b remaining (90.4%)

Threshold costs 0.2b (90.4%)

Compiler

Compiled 14246 to 10392 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_691` `+-commutative_binary64_690`
4×	`sub-neg_binary64_753`
2×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
1×	`1-exp_binary64_804` `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` `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	13	25
1	27	25
2	33	25
3	37	25
4	39	25
5	36	25

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample891.0ms (7.3%)

Algorithm

1×

intervals

Results

273.0ms	8000×	body	128	valid
156.0ms	8059×	pre	128	true
2.0ms	59×	body	128	invalid

Compiler

Compiled 157 to 127 computations (19.1% saved)

Details

analyze508.0ms (4.2%)

sample25.0ms (0.2%)

simplify126.0ms (1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite180.0ms (1.5%)

series483.0ms (4%)

simplify80.0ms (0.7%)

prune101.0ms (0.8%)

localize7.0ms (0.1%)

rewrite134.0ms (1.1%)

series429.0ms (3.5%)

simplify89.0ms (0.7%)

prune87.0ms (0.7%)

localize8.0ms (0.1%)

rewrite463.0ms (3.8%)

series629.0ms (5.2%)

simplify168.0ms (1.4%)

prune221.0ms (1.8%)

localize11.0ms (0.1%)

rewrite3.2s (26.2%)

series702.0ms (5.8%)

simplify1.0s (8.3%)

prune1.1s (9.4%)

regimes1.4s (11.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample891.0ms (7.3%)

Profiling