Details

analyze311.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

2334×	`associate--r-_binary64_699`
1537×	`associate--l-_binary64_698`
380×	`unsub-neg_binary64_754`
277×	`sub-neg_binary64_753`
261×	`div-sub_binary64_765`
233×	`distribute-rgt-in_binary64_710`
229×	`distribute-neg-in_binary64_721`
153×	`distribute-lft-in_binary64_709`
123×	`times-frac_binary64_766`
116×	`associate-/l*_binary64_705`
104×	`+-commutative_binary64_690`
103×	`cancel-sign-sub-inv_binary64_726`
84×	`associate--r+_binary64_696`
83×	`distribute-neg-out_binary64_722`
74×	`log-prod_binary64_846`
68×	`neg-sub0_binary64_755` `distribute-rgt-neg-in_binary64_718`
66×	`neg-mul-1_binary64_756`
65×	`log-div_binary64_847`
54×	`distribute-lft-neg-out_binary64_719`
52×	`cancel-sign-sub_binary64_725`
47×	`associate-+r+_binary64_692`
44×	`associate-+l-_binary64_695`
42×	`distribute-rgt-out--_binary64_714` `*-commutative_binary64_691`
41×	`associate--l+_binary64_697`
38×	`associate-/r*_binary64_704` `associate-+l+_binary64_693`
35×	`*-lft-identity_binary64_749`
33×	`*-rgt-identity_binary64_750` `distribute-lft-neg-in_binary64_717` `associate-+r-_binary64_694`
30×	`distribute-rgt-neg-out_binary64_720`
28×	`distribute-neg-frac_binary64_724`
26×	`associate-r_binary64_700`
25×	`distribute-lft-out_binary64_711`
24×	`associate-l_binary64_701`
22×	`associate-/l/_binary64_707`
17×	`remove-double-neg_binary64_748`
16×	`associate-*l/_binary64_703`
15×	`sub0-neg_binary64_747` `distribute-lft-out--_binary64_712` `associate-/r/_binary64_706`
12×	`distribute-rgt-out_binary64_713`
11×	`+-lft-identity_binary64_744` `mul0-rgt_binary64_743`
10×	`div0_binary64_741`
9×	`mul-1-neg_binary64_752` `distribute-frac-neg_binary64_723`
8×	`--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `distribute-rgt1-in_binary64_716` `associate-*r/_binary64_702`
7×	`log-rec_binary64_848` `mul0-lft_binary64_742`
5×	`/-rgt-identity_binary64_751`
1×	`1-exp_binary64_804` `*-inverses_binary64_740` `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` `log-pow_binary64_849` `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` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `+-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` `swap-sqr_binary64_727`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	26	12
3	38	12
4	64	12
5	82	12
6	123	12
7	219	12
8	360	12
9	442	12
10	534	12
11	922	12
12	1392	12
13	1486	12
14	1714	12
15	1797	12
16	1830	12
17	1835	12
18	1845	12
19	1845	12
20	1845	12
21	1845	12
22	1845	12
23	5283	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample73.0ms (1.1%)

Algorithm

1×

intervals

Results

43.0ms	132×	body	1024	valid
10.0ms	55×	body	512	valid
6.0ms	12×	body	2048	valid
3.0ms	34×	body	256	valid
1.0ms	23×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify174.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2334×	`associate--r-_binary64_699`
1537×	`associate--l-_binary64_698`
380×	`unsub-neg_binary64_754`
277×	`sub-neg_binary64_753`
261×	`div-sub_binary64_765`
233×	`distribute-rgt-in_binary64_710`
229×	`distribute-neg-in_binary64_721`
153×	`distribute-lft-in_binary64_709`
123×	`times-frac_binary64_766`
116×	`associate-/l*_binary64_705`
104×	`+-commutative_binary64_690`
103×	`cancel-sign-sub-inv_binary64_726`
84×	`associate--r+_binary64_696`
83×	`distribute-neg-out_binary64_722`
74×	`log-prod_binary64_846`
68×	`neg-sub0_binary64_755` `distribute-rgt-neg-in_binary64_718`
66×	`neg-mul-1_binary64_756`
65×	`log-div_binary64_847`
54×	`distribute-lft-neg-out_binary64_719`
52×	`cancel-sign-sub_binary64_725`
47×	`associate-+r+_binary64_692`
44×	`associate-+l-_binary64_695`
42×	`distribute-rgt-out--_binary64_714` `*-commutative_binary64_691`
41×	`associate--l+_binary64_697`
38×	`associate-/r*_binary64_704` `associate-+l+_binary64_693`
35×	`*-lft-identity_binary64_749`
33×	`*-rgt-identity_binary64_750` `distribute-lft-neg-in_binary64_717` `associate-+r-_binary64_694`
30×	`distribute-rgt-neg-out_binary64_720`
28×	`distribute-neg-frac_binary64_724`
26×	`associate-r_binary64_700`
25×	`distribute-lft-out_binary64_711`
24×	`associate-l_binary64_701`
22×	`associate-/l/_binary64_707`
17×	`remove-double-neg_binary64_748`
16×	`associate-*l/_binary64_703`
15×	`sub0-neg_binary64_747` `distribute-lft-out--_binary64_712` `associate-/r/_binary64_706`
12×	`distribute-rgt-out_binary64_713`
11×	`+-lft-identity_binary64_744` `mul0-rgt_binary64_743`
10×	`div0_binary64_741`
9×	`mul-1-neg_binary64_752` `distribute-frac-neg_binary64_723`
8×	`--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `distribute-rgt1-in_binary64_716` `associate-*r/_binary64_702`
7×	`log-rec_binary64_848` `mul0-lft_binary64_742`
5×	`/-rgt-identity_binary64_751`
1×	`1-exp_binary64_804` `*-inverses_binary64_740` `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` `log-pow_binary64_849` `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` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `+-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` `swap-sqr_binary64_727`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	26	12
3	38	12
4	64	12
5	82	12
6	123	12
7	219	12
8	360	12
9	442	12
10	534	12
11	922	12
12	1392	12
13	1486	12
14	1714	12
15	1797	12
16	1830	12
17	1835	12
18	1845	12
19	1845	12
20	1845	12
21	1845	12
22	1845	12
23	5283	12

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

57.0b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.5b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite142.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

56.7b

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
3×	`pow1_binary64_821`
2×	`div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `div-exp_binary64_811` `rem-log-exp_binary64_801` `add-log-exp_binary64_799` `associate-/l/_binary64_707`
1×	`log-pow_binary64_849` `log-div_binary64_847` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

2 → 92

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series110.0ms (1.6%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

64.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
33.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

468×	`div-sub_binary64_765`
447×	`distribute-rgt-in_binary64_710`
351×	`distribute-lft-in_binary64_709`
315×	`sub-neg_binary64_753`
149×	`distribute-rgt-neg-in_binary64_718`
134×	`distribute-lft-neg-in_binary64_717`
108×	`associate-l_binary64_701`
104×	`log-div_binary64_847`
103×	`associate-r_binary64_700`
92×	`unsub-neg_binary64_754`
91×	`distribute-rgt-out_binary64_713` `+-commutative_binary64_690`
89×	`cancel-sign-sub-inv_binary64_726`
86×	`distribute-rgt-neg-out_binary64_720`
83×	`distribute-lft-neg-out_binary64_719`
79×	`prod-exp_binary64_809`
77×	`associate-/l*_binary64_705`
74×	`associate-+l+_binary64_693`
73×	`neg-sub0_binary64_755`
72×	`associate-+r+_binary64_692`
70×	`neg-mul-1_binary64_756`
69×	`distribute-rgt-out--_binary64_714`
68×	`times-frac_binary64_766` `*-commutative_binary64_691`
65×	`associate-/r*_binary64_704`
64×	`associate-+l-_binary64_695` `associate-+r-_binary64_694`
63×	`div-exp_binary64_811`
61×	`exp-prod_binary64_812`
57×	`distribute-neg-in_binary64_721`
56×	`associate--l-_binary64_698`
53×	`associate-*l/_binary64_703`
48×	`distribute-neg-frac_binary64_724`
46×	`cancel-sign-sub_binary64_725` `associate-/l/_binary64_707`
44×	`log-prod_binary64_846` `exp-sum_binary64_806` `distribute-lft-out_binary64_711`
42×	`associate--l+_binary64_697`
40×	`associate-/r/_binary64_706`
37×	`associate--r+_binary64_696`
34×	`cube-prod_binary64_788`
33×	`associate-*r/_binary64_702`
30×	`sqr-pow_binary64_732`
29×	`exp-diff_binary64_808`
24×	`distribute-frac-neg_binary64_723`
21×	`+-rgt-identity_binary64_745`
20×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749` `unswap-sqr_binary64_728` `distribute-lft-out--_binary64_712`
17×	`cube-div_binary64_789` `sub0-neg_binary64_747` `distribute-rgt1-in_binary64_716`
14×	`cube-unmult_binary64_797` `/-rgt-identity_binary64_751` `distribute-neg-out_binary64_722`
13×	`rec-exp_binary64_810`
10×	`unpow3_binary64_826` `distribute-lft1-in_binary64_715`
9×	`swap-sqr_binary64_727`
8×	`log-rec_binary64_848`
6×	`sqr-neg_binary64_774` `count-2_binary64_708`
5×	`rem-exp-log_binary64_800`
4×	`cube-mult_binary64_790` `difference-of-squares_binary64_729`
3×	`pow-plus_binary64_823` `cube-neg_binary64_787` `mul-1-neg_binary64_752`
2×	`exp-to-pow_binary64_822` `rem-sqrt-square_binary64_773` `remove-double-neg_binary64_748` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `difference-of-sqr-1_binary64_730`
1×	`log-pow_binary64_849` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `--rgt-identity_binary64_746` `+-inverses_binary64_739` `difference-of-sqr--1_binary64_731` `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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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-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` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737`

Counts

106 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2064
1	351	1976
2	863	1925
3	2373	1921
4	4401	1921
5	5400	1921

prune106.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	3	95

Error

0.0b

Counts

95 → 3

Compiler

Compiled 1516 to 1166 computations (23.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (.f64 2/5 (pow.f64 eps 5))) (.f64 2/7 (pow.f64 eps 7)))
0.1b	(*.f64 2/7 (pow.f64 eps 7))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite228.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_782`
26×	`associate-r_binary64_700`
19×	`add-exp-log_binary64_798`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`add-log-exp_binary64_799`
12×	`unpow-prod-down_binary64_839`
10×	`add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
9×	`prod-exp_binary64_809` `associate-l_binary64_701`
6×	`sqr-pow_binary64_732` `diff-log_binary64_852` `associate--l+_binary64_697`
4×	`pow1_binary64_821` `cube-prod_binary64_788`
3×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `flip3--_binary64_764` `flip--_binary64_735` `associate--l-_binary64_698`

Counts

4 → 100

Calls

4 calls:

11.0ms	(-.f64 (-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (.f64 2/5 (pow.f64 eps 5))) (.f64 2/7 (pow.f64 eps 7)))
8.0ms	(*.f64 2/5 (pow.f64 eps 5))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))
6.0ms	(*.f64 2/7 (pow.f64 eps 7))

Compiler

Compiled 2860 to 2327 computations (18.6% saved)

series261.0ms (3.9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

69.0ms	(*.f64 2/7 (pow.f64 eps 7))
65.0ms	(*.f64 2/5 (pow.f64 eps 5))
55.0ms	(*.f64 2/3 (pow.f64 eps 3))
54.0ms	(-.f64 (-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (.f64 2/5 (pow.f64 eps 5))) (.f64 2/7 (pow.f64 eps 7)))

Compiler

Compiled 713 to 604 computations (15.3% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

657×	`unswap-sqr_binary64_728`
351×	`*-commutative_binary64_691`
254×	`unsub-neg_binary64_754`
220×	`exp-prod_binary64_812`
192×	`sub-neg_binary64_753`
168×	`times-frac_binary64_766` `distribute-rgt-in_binary64_710`
167×	`sqr-pow_binary64_732`
154×	`distribute-lft-in_binary64_709`
146×	`cancel-sign-sub-inv_binary64_726`
129×	`exp-sum_binary64_806`
124×	`associate-l_binary64_701`
116×	`exp-diff_binary64_808`
115×	`associate-r_binary64_700`
108×	`neg-mul-1_binary64_756`
106×	`neg-sub0_binary64_755`
102×	`log-prod_binary64_846`
89×	`distribute-rgt-neg-in_binary64_718`
87×	`distribute-lft-neg-in_binary64_717`
82×	`associate-+r+_binary64_692`
74×	`cube-prod_binary64_788`
65×	`associate-+l-_binary64_695`
57×	`associate-+l+_binary64_693`
49×	`+-commutative_binary64_690`
41×	`associate-+r-_binary64_694`
37×	`associate--r+_binary64_696`
36×	`sub0-neg_binary64_747`
33×	`associate--l+_binary64_697`
26×	`swap-sqr_binary64_727` `associate--l-_binary64_698`
24×	`pow-sqr_binary64_733` `distribute-neg-in_binary64_721` `associate-/l*_binary64_705`
23×	`distribute-lft-neg-out_binary64_719`
19×	`cube-unmult_binary64_797` `distribute-rgt-neg-out_binary64_720` `distribute-rgt-out_binary64_713`
18×	`log-pow_binary64_849` `unpow3_binary64_826`
15×	`pow-plus_binary64_823` `rem-sqrt-square_binary64_773`
14×	`cube-mult_binary64_790` `+-rgt-identity_binary64_745`
13×	`div-exp_binary64_811`
11×	`associate-/r*_binary64_704`
10×	`prod-exp_binary64_809` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
9×	`difference-of-squares_binary64_729` `distribute-lft-out_binary64_711` `associate--r-_binary64_699`
7×	`sqr-neg_binary64_774` `--rgt-identity_binary64_746` `associate-/l/_binary64_707`
6×	`remove-double-neg_binary64_748` `distribute-neg-out_binary64_722`
4×	`cube-neg_binary64_787` `-lft-identity_binary64_749` `associate-l/_binary64_703`
3×	`count-2_binary64_708`
2×	`exp-lft-sqr_binary64_815` `distribute-rgt-out--_binary64_714`
1×	`unpow1/3_binary64_827` `unpow-1_binary64_817` `1-exp_binary64_804` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `distribute-lft-out--_binary64_712`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow2_binary64_825` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `exp-lft-cube_binary64_816` `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` `cube-div_binary64_789` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `+-lft-identity_binary64_744` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `associate-/r/_binary64_706` `associate-*r/_binary64_702`

Counts

115 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1761
1	410	1640
2	1123	1616
3	2837	1616
4	5350	1616

prune104.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Error

0.0b

Counts

67 → 3

Compiler

Compiled 1666 to 1346 computations (19.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (.f64 (pow.f64 eps 7) -2/7) (.f64 2/5 (pow.f64 eps 5))) (*.f64 2/3 (pow.f64 eps 3)))
0.1b	(*.f64 (pow.f64 eps 7) -2/7)
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite211.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
19×	`add-exp-log_binary64_798`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`associate-l_binary64_701`
12×	`unpow-prod-down_binary64_839`
10×	`add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
9×	`prod-exp_binary64_809` `add-log-exp_binary64_799`
6×	`sqr-pow_binary64_732`
4×	`pow1_binary64_821` `cube-prod_binary64_788`
3×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `diff-log_binary64_852`
2×	`sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `associate--l+_binary64_697`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `flip3--_binary64_764` `flip--_binary64_735` `associate--l-_binary64_698`

Counts

4 → 97

Calls

4 calls:

9.0ms	(-.f64 (-.f64 (.f64 (pow.f64 eps 7) -2/7) (.f64 2/5 (pow.f64 eps 5))) (*.f64 2/3 (pow.f64 eps 3)))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))
5.0ms	(*.f64 2/5 (pow.f64 eps 5))
5.0ms	(*.f64 (pow.f64 eps 7) -2/7)

Compiler

Compiled 2750 to 2239 computations (18.6% saved)

series300.0ms (4.5%)

Error

0.0b

Counts

4 → 14

Calls

4 calls:

106.0ms	(-.f64 (-.f64 (.f64 (pow.f64 eps 7) -2/7) (.f64 2/5 (pow.f64 eps 5))) (*.f64 2/3 (pow.f64 eps 3)))
69.0ms	(*.f64 (pow.f64 eps 7) -2/7)
56.0ms	(*.f64 2/5 (pow.f64 eps 5))
53.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 751 to 634 computations (15.6% saved)

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

648×	`unswap-sqr_binary64_728`
416×	`log-prod_binary64_846`
354×	`*-commutative_binary64_691`
340×	`cancel-sign-sub-inv_binary64_726`
182×	`exp-prod_binary64_812`
152×	`sqr-pow_binary64_732`
141×	`associate-l_binary64_701`
125×	`associate-r_binary64_700`
106×	`distribute-rgt-neg-out_binary64_720`
103×	`distribute-rgt-neg-in_binary64_718`
99×	`distribute-lft-neg-in_binary64_717`
97×	`cube-prod_binary64_788`
95×	`swap-sqr_binary64_727`
91×	`distribute-rgt-in_binary64_710`
84×	`neg-mul-1_binary64_756`
82×	`neg-sub0_binary64_755` `distribute-lft-in_binary64_709`
76×	`unsub-neg_binary64_754`
64×	`sub-neg_binary64_753`
51×	`times-frac_binary64_766`
40×	`exp-sum_binary64_806`
39×	`associate-+r+_binary64_692`
38×	`log-pow_binary64_849`
36×	`distribute-neg-in_binary64_721`
33×	`associate-+l+_binary64_693`
32×	`+-commutative_binary64_690`
31×	`exp-diff_binary64_808`
24×	`pow-sqr_binary64_733`
21×	`unpow3_binary64_826`
17×	`distribute-rgt-out_binary64_713`
16×	`cube-unmult_binary64_797`
15×	`pow-plus_binary64_823` `cube-mult_binary64_790` `rem-sqrt-square_binary64_773` `associate-+l-_binary64_695`
13×	`associate-+r-_binary64_694`
12×	`associate-/l*_binary64_705` `associate--r+_binary64_696`
10×	`sub0-neg_binary64_747` `distribute-lft-neg-out_binary64_719`
7×	`*-lft-identity_binary64_749` `+-rgt-identity_binary64_745` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
6×	`sqr-neg_binary64_774` `difference-of-squares_binary64_729` `distribute-neg-out_binary64_722`
5×	`-rgt-identity_binary64_750` `associate-/r_binary64_704`
4×	`div-exp_binary64_811` `cube-neg_binary64_787` `associate--l+_binary64_697`
3×	`remove-double-neg_binary64_748` `count-2_binary64_708`
2×	`prod-exp_binary64_809` `cancel-sign-sub_binary64_725` `distribute-lft-out_binary64_711` `associate--r-_binary64_699`
1×	`unpow1/3_binary64_827` `unpow1/2_binary64_824` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `--rgt-identity_binary64_746` `associate-/l/_binary64_707` `associate-*l/_binary64_703` `associate--l-_binary64_698`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow2_binary64_825` `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` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `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` `sqr-abs_binary64_775` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `+-lft-identity_binary64_744` `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-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate-/r/_binary64_706` `associate-r/_binary64_702`

Counts

111 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1539
1	370	1434
2	1048	1416
3	2201	1416
4	4948	1416
5	5396	1416

prune107.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 1792 to 1445 computations (19.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 eps 1))
0.0b	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1)))
5.4b	(log.f64 (sqrt.f64 (+.f64 eps 1)))
5.5b	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))))

rewrite328.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

124×	`*-un-lft-identity_binary64_760`
95×	`add-sqr-sqrt_binary64_782`
84×	`times-frac_binary64_766`
60×	`sqrt-prod_binary64_776`
55×	`log-prod_binary64_846`
49×	`add-cube-cbrt_binary64_795`
30×	`difference-of-squares_binary64_729`
15×	`distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712`
10×	`add-exp-log_binary64_798`
8×	`pow1_binary64_821` `sqrt-div_binary64_777`
7×	`associate-/r*_binary64_704`
6×	`add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
4×	`log-pow_binary64_849` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734` `add-log-exp_binary64_799`
3×	`log-div_binary64_847` `rem-log-exp_binary64_801`
2×	`div-inv_binary64_757` `div-exp_binary64_811` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `associate-/l/_binary64_707`
1×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773`

Counts

4 → 167

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))))
10.0ms	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 eps 1)))
3.0ms	(sqrt.f64 (+.f64 eps 1))

Compiler

Compiled 4355 to 3559 computations (18.3% saved)

series179.0ms (2.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

51.0ms	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))))
38.0ms	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1)))
36.0ms	(log.f64 (sqrt.f64 (+.f64 eps 1)))
26.0ms	(sqrt.f64 (+.f64 eps 1))

Compiler

Compiled 986 to 835 computations (15.3% saved)

simplify189.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

507×	`div-sub_binary64_765`
429×	`sub-neg_binary64_753`
175×	`distribute-rgt-neg-in_binary64_718`
173×	`associate-r_binary64_700`
165×	`associate-l_binary64_701`
155×	`distribute-lft-neg-in_binary64_717`
129×	`cancel-sign-sub-inv_binary64_726`
127×	`log-div_binary64_847`
122×	`+-commutative_binary64_690`
119×	`distribute-rgt-in_binary64_710`
118×	`distribute-lft-neg-out_binary64_719`
114×	`cancel-sign-sub_binary64_725` `distribute-rgt-out--_binary64_714`
106×	`prod-exp_binary64_809` `distribute-rgt-neg-out_binary64_720`
101×	`unsub-neg_binary64_754`
98×	`div-exp_binary64_811`
94×	`*-commutative_binary64_691`
91×	`associate-+l+_binary64_693`
88×	`associate-+l-_binary64_695`
87×	`associate-/l*_binary64_705`
85×	`distribute-lft-in_binary64_709`
83×	`times-frac_binary64_766`
80×	`associate--l-_binary64_698`
79×	`neg-sub0_binary64_755`
77×	`neg-mul-1_binary64_756` `associate-/r*_binary64_704`
75×	`associate--l+_binary64_697`
73×	`associate-+r+_binary64_692`
70×	`associate-+r-_binary64_694`
69×	`associate-*l/_binary64_703`
61×	`exp-prod_binary64_812`
59×	`distribute-neg-frac_binary64_724`
56×	`distribute-neg-in_binary64_721`
53×	`log-prod_binary64_846`
52×	`associate-/l/_binary64_707`
50×	`associate-*r/_binary64_702`
46×	`associate-/r/_binary64_706`
42×	`associate--r+_binary64_696`
33×	`exp-sum_binary64_806` `distribute-rgt-out_binary64_713`
29×	`cube-prod_binary64_788`
28×	`distribute-frac-neg_binary64_723`
27×	`exp-diff_binary64_808` `sqr-pow_binary64_732` `unswap-sqr_binary64_728`
25×	`rec-exp_binary64_810` `+-rgt-identity_binary64_745`
23×	`sub0-neg_binary64_747`
19×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749` `distribute-neg-out_binary64_722`
18×	`/-rgt-identity_binary64_751`
17×	`distribute-rgt1-in_binary64_716`
15×	`distribute-lft-out_binary64_711`
14×	`cube-div_binary64_789`
12×	`swap-sqr_binary64_727`
11×	`distribute-lft-out--_binary64_712`
9×	`cube-unmult_binary64_797`
8×	`log-rec_binary64_848` `unpow3_binary64_826`
7×	`sqr-neg_binary64_774` `count-2_binary64_708`
5×	`pow-plus_binary64_823`
4×	`rem-exp-log_binary64_800` `cube-mult_binary64_790` `cube-neg_binary64_787` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752`
3×	`difference-of-squares_binary64_729` `distribute-lft1-in_binary64_715`
2×	`log-pow_binary64_849` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `remove-double-neg_binary64_748` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `pow-sqr_binary64_733` `difference-of-sqr-1_binary64_730`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `rem-square-sqrt_binary64_772` `+-inverses_binary64_739` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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-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` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737`

Counts

191 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	3978
1	445	3814
2	1060	3746
3	2947	3743
4	4340	3743
5	5417	3743

prune171.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Error

0.0b

Counts

116 → 3

Compiler

Compiled 2627 to 2112 computations (19.6% saved)

regimes234.0ms (3.5%)

Accuracy

Total 0.1b remaining (98.5%)

Threshold costs 0.1b (98.5%)

Compiler

Compiled 2443 to 2074 computations (15.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64_690`
15×	`*-commutative_binary64_691`
13×	`sub-neg_binary64_753`
12×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
6×	`distribute-rgt-neg-in_binary64_718`
5×	`cancel-sign-sub-inv_binary64_726`
4×	`unsub-neg_binary64_754` `distribute-neg-out_binary64_722` `distribute-lft-neg-in_binary64_717`
2×	`distribute-lft-neg-out_binary64_719`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `unpow1_binary64_818` `e-exp-1_binary64_805` `1-exp_binary64_804` `exp-1-e_binary64_803` `exp-0_binary64_802` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	33
1	43	33
2	69	33
3	95	31
4	109	31
5	114	31
6	115	31
7	115	31

end0.0ms (0%)

sample3.1s (46.5%)

Algorithm

1×

intervals

Results

1.4s	4130×	body	1024	valid
376.0ms	1968×	body	512	valid
181.0ms	369×	body	2048	valid
100.0ms	960×	body	256	valid
27.0ms	573×	body	128	valid

Compiler

Compiled 793 to 675 computations (14.9% saved)

Details

analyze311.0ms (4.6%)

sample73.0ms (1.1%)

simplify174.0ms (2.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite142.0ms (2.1%)

series110.0ms (1.6%)

simplify122.0ms (1.8%)

prune106.0ms (1.6%)

localize14.0ms (0.2%)

rewrite228.0ms (3.4%)

series261.0ms (3.9%)

simplify84.0ms (1.2%)

prune104.0ms (1.6%)

localize13.0ms (0.2%)

rewrite211.0ms (3.1%)

series300.0ms (4.5%)

simplify108.0ms (1.6%)

prune107.0ms (1.6%)

localize10.0ms (0.1%)

rewrite328.0ms (4.9%)

series179.0ms (2.7%)

simplify189.0ms (2.8%)

prune171.0ms (2.6%)

regimes234.0ms (3.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.1s (46.5%)

Profiling