Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify888.0ms (27.7%)

Algorithm

1×	egg-herbie

Rules

748×	`exp-prod_binary64_812`
676×	`associate-/l/_binary64_707`
559×	`distribute-rgt-out_binary64_713`
546×	`distribute-rgt-out--_binary64_714`
405×	`swap-sqr_binary64_727`
397×	`associate-/r*_binary64_704`
327×	`div-sub_binary64_765`
306×	`unsub-neg_binary64_754`
295×	`distribute-rgt-neg-in_binary64_718`
261×	`*-commutative_binary64_691`
209×	`sub-neg_binary64_753`
179×	`cancel-sign-sub-inv_binary64_726`
84×	`exp-sum_binary64_806`
67×	`distribute-rgt1-in_binary64_716`
66×	`distribute-neg-out_binary64_722`
54×	`distribute-lft-neg-in_binary64_717` `associate-/r/_binary64_706`
53×	`exp-diff_binary64_808`
51×	`associate-/l*_binary64_705`
43×	`distribute-rgt-in_binary64_710`
35×	`neg-mul-1_binary64_756`
34×	`neg-sub0_binary64_755`
28×	`sqr-pow_binary64_732` `difference-of-squares_binary64_729`
27×	`distribute-frac-neg_binary64_723`
26×	`associate-+l-_binary64_695`
25×	`associate-+l+_binary64_693`
23×	`distribute-lft-in_binary64_709`
22×	`associate-r_binary64_700`
21×	`associate-+r+_binary64_692`
20×	`distribute-neg-in_binary64_721`
19×	`pow-sqr_binary64_733`
17×	`pow-plus_binary64_823`
16×	`associate--r+_binary64_696`
15×	`distribute-rgt-neg-out_binary64_720` `associate-+r-_binary64_694`
14×	`+-inverses_binary64_739` `distribute-lft1-in_binary64_715`
13×	`count-2_binary64_708`
12×	`sqr-neg_binary64_774`
11×	`distribute-lft-neg-out_binary64_719`
10×	`remove-double-neg_binary64_748` `+-commutative_binary64_690`
9×	`sub0-neg_binary64_747` `associate-l_binary64_701`
8×	`exp-neg_binary64_807` `unswap-sqr_binary64_728` `associate--l+_binary64_697`
7×	`*-rgt-identity_binary64_750` `associate--l-_binary64_698`
6×	`exp-lft-sqr_binary64_815` `+-lft-identity_binary64_744` `associate--r-_binary64_699`
5×	`cube-prod_binary64_788` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `distribute-neg-frac_binary64_724`
4×	`cube-unmult_binary64_797` `/-rgt-identity_binary64_751` `mul0-lft_binary64_742` `div0_binary64_741` `difference-of-sqr--1_binary64_731`
3×	`pow-base-1_binary64_820` `*-lft-identity_binary64_749` `mul0-rgt_binary64_743` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711`
2×	`*-inverses_binary64_740`
1×	`exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `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` `cube-mult_binary64_790` `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` `mul-1-neg_binary64_752` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `associate-l/_binary64_703` `associate-r/_binary64_702`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	29	10
5	50	10
6	91	10
7	248	10
8	1792	10

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_760`
28×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
10×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out_binary64_711`
6×	`associate-/r*_binary64_704`
5×	`distribute-lft-out--_binary64_712`
4×	`associate-/l*_binary64_705`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `flip3--_binary64_764` `flip--_binary64_735`

Counts

1 → 50

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 800 to 609 computations (23.9% saved)

series56.0ms (1.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

44.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 264 to 241 computations (8.7% saved)

simplify333.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

449×	`distribute-rgt-in_binary64_710`
385×	`cancel-sign-sub-inv_binary64_726`
336×	`distribute-lft-in_binary64_709`
260×	`distribute-rgt-out_binary64_713`
241×	`times-frac_binary64_766`
149×	`div-sub_binary64_765`
140×	`associate-/l*_binary64_705`
114×	`sub-neg_binary64_753` `distribute-rgt-out--_binary64_714`
105×	`associate-/r*_binary64_704`
96×	`distribute-rgt-neg-in_binary64_718`
93×	`unsub-neg_binary64_754`
89×	`distribute-lft-neg-in_binary64_717`
86×	`associate-l_binary64_701`
84×	`distribute-lft-out_binary64_711`
82×	`distribute-neg-frac_binary64_724`
81×	`associate-*l/_binary64_703`
80×	`associate--l-_binary64_698`
79×	`associate-/l/_binary64_707`
69×	`associate--r+_binary64_696`
68×	`associate-r_binary64_700` `associate-+l+_binary64_693`
65×	`associate-*r/_binary64_702`
63×	`distribute-rgt-neg-out_binary64_720`
58×	`associate-/r/_binary64_706` `*-commutative_binary64_691`
54×	`associate-+r+_binary64_692`
51×	`distribute-neg-in_binary64_721`
50×	`distribute-lft-neg-out_binary64_719`
48×	`+-commutative_binary64_690`
41×	`neg-sub0_binary64_755` `distribute-neg-out_binary64_722`
39×	`sqr-pow_binary64_732`
38×	`distribute-rgt1-in_binary64_716`
37×	`neg-mul-1_binary64_756` `unswap-sqr_binary64_728`
28×	`cube-prod_binary64_788` `*-rgt-identity_binary64_750`
27×	`pow-sqr_binary64_733` `associate--l+_binary64_697` `associate-+l-_binary64_695`
25×	`associate-+r-_binary64_694`
24×	`associate--r-_binary64_699`
23×	`log-prod_binary64_846` `swap-sqr_binary64_727`
22×	`distribute-lft-out--_binary64_712`
21×	`cube-div_binary64_789`
19×	`log-div_binary64_847`
18×	`pow-plus_binary64_823` `distribute-lft1-in_binary64_715`
16×	`div-exp_binary64_811` `prod-exp_binary64_809` `distribute-frac-neg_binary64_723`
15×	`/-rgt-identity_binary64_751` `sub0-neg_binary64_747`
14×	`log-pow_binary64_849` `difference-of-squares_binary64_729`
13×	`*-lft-identity_binary64_749` `+-rgt-identity_binary64_745`
12×	`exp-prod_binary64_812`
6×	`pow-base-1_binary64_820` `cube-unmult_binary64_797`
5×	`log-rec_binary64_848` `remove-double-div_binary64_736`
4×	`rec-exp_binary64_810` `difference-of-sqr-1_binary64_730`
3×	`unpow3_binary64_826` `cube-mult_binary64_790` `mul0-lft_binary64_742`
2×	`exp-sqrt_binary64_813` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `--rgt-identity_binary64_746` `mul0-rgt_binary64_743` `*-inverses_binary64_740` `count-2_binary64_708`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `exp-lft-sqr_binary64_815` `exp-diff_binary64_808` `1-exp_binary64_804` `rem-log-exp_binary64_801` `cube-neg_binary64_787` `remove-double-neg_binary64_748` `difference-of-sqr--1_binary64_731`
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` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `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` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `cancel-sign-sub_binary64_725`

Counts

62 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1150
1	255	1064
2	750	1047
3	1989	1047

prune158.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	2	147

Error

Counts

147 → 2

Compiler

Compiled 2452 to 1857 computations (24.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite205.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`*-un-lft-identity_binary64_760`
77×	`add-sqr-sqrt_binary64_782`
72×	`times-frac_binary64_766`
60×	`exp-prod_binary64_812`
38×	`add-cube-cbrt_binary64_795`
31×	`log-pow_binary64_849`
26×	`difference-of-squares_binary64_729`
19×	`distribute-lft-out_binary64_711`
13×	`distribute-lft-out--_binary64_712`
6×	`associate-/r/_binary64_706` `associate-/r*_binary64_704`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `associate-/l*_binary64_705`
3×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `log-prod_binary64_846`
2×	`associate-/l/_binary64_707`
1×	`rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

3 → 130

Calls

3 calls:

12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
10.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 2426 to 1915 computations (21.1% saved)

series209.0ms (6.5%)

Error

Counts

3 → 36

Calls

3 calls:

70.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
64.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
39.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 936 to 848 computations (9.4% saved)

simplify527.0ms (16.4%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-rgt-out_binary64_713`
244×	`times-frac_binary64_766`
177×	`sub-neg_binary64_753`
176×	`div-sub_binary64_765`
172×	`distribute-rgt-out--_binary64_714`
163×	`associate-l_binary64_701`
161×	`associate-/l*_binary64_705`
147×	`associate-/r*_binary64_704`
135×	`associate-r_binary64_700`
128×	`distribute-rgt-neg-in_binary64_718`
116×	`distribute-lft-neg-in_binary64_717`
114×	`unsub-neg_binary64_754`
111×	`distribute-rgt-in_binary64_710`
107×	`associate-+l+_binary64_693`
104×	`distribute-neg-frac_binary64_724`
99×	`associate-*l/_binary64_703`
98×	`*-commutative_binary64_691`
88×	`distribute-rgt-neg-out_binary64_720`
85×	`+-commutative_binary64_690`
83×	`associate-*r/_binary64_702`
76×	`associate-/l/_binary64_707`
73×	`sqr-pow_binary64_732`
72×	`associate-+r+_binary64_692`
71×	`associate-/r/_binary64_706`
69×	`distribute-lft-neg-out_binary64_719`
68×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-in_binary64_709`
61×	`unswap-sqr_binary64_728`
58×	`distribute-neg-in_binary64_721`
55×	`neg-mul-1_binary64_756`
54×	`neg-sub0_binary64_755` `distribute-rgt1-in_binary64_716`
51×	`exp-prod_binary64_812`
44×	`cancel-sign-sub_binary64_725`
42×	`associate-+l-_binary64_695`
40×	`exp-to-pow_binary64_822`
39×	`sub0-neg_binary64_747`
38×	`pow-sqr_binary64_733`
37×	`*-rgt-identity_binary64_750`
36×	`log-prod_binary64_846`
35×	`distribute-neg-out_binary64_722`
34×	`associate-+r-_binary64_694`
33×	`associate--r+_binary64_696`
31×	`*-lft-identity_binary64_749`
28×	`cube-prod_binary64_788`
27×	`rem-log-exp_binary64_801`
26×	`log-pow_binary64_849`
21×	`log-div_binary64_847` `/-rgt-identity_binary64_751`
20×	`cube-div_binary64_789` `swap-sqr_binary64_727` `associate--l-_binary64_698`
19×	`pow-plus_binary64_823` `associate--l+_binary64_697`
18×	`+-rgt-identity_binary64_745`
17×	`distribute-lft1-in_binary64_715`
16×	`distribute-frac-neg_binary64_723`
14×	`+-lft-identity_binary64_744` `distribute-lft-out_binary64_711`
11×	`difference-of-squares_binary64_729`
10×	`exp-sqrt_binary64_813`
8×	`exp-lft-sqr_binary64_815` `cube-unmult_binary64_797`
7×	`prod-exp_binary64_809`
6×	`pow-base-1_binary64_820`
5×	`log-rec_binary64_848`
4×	`exp-diff_binary64_808` `remove-double-div_binary64_736` `difference-of-sqr-1_binary64_730`
3×	`unpow3_binary64_826` `div-exp_binary64_811` `exp-sum_binary64_806` `cube-mult_binary64_790` `mul-1-neg_binary64_752` `count-2_binary64_708`
2×	`rec-exp_binary64_810` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `div0_binary64_741` `*-inverses_binary64_740` `associate--r-_binary64_699`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `e-exp-1_binary64_805` `1-exp_binary64_804` `cube-neg_binary64_787` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-inverses_binary64_739` `difference-of-sqr--1_binary64_731`
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` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `exp-1-e_binary64_803` `exp-0_binary64_802` `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` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `distribute-lft-out--_binary64_712`

Counts

166 → 195

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	2704
1	418	2536
2	1090	2481
3	2884	2472

prune226.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	195	2	197

Error

Counts

197 → 2

Compiler

Compiled 3223 to 2492 computations (22.7% saved)

regimes31.0ms (1%)

Accuracy

Total 0.0b remaining (61.8%)

Threshold costs 0.0b (61.8%)

Compiler

Compiled 122 to 124 computations (-1.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_690`
2×	`sub-neg_binary64_753`
1×	`1-exp_binary64_804` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `*-commutative_binary64_691`
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-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	17	10
4	18	10

Proof

(/ f64 (+ f64 h0 1) (- f64 1 h0))

end0.0ms (0%)

sample479.0ms (14.9%)

Algorithm

1×

intervals

Results

168.0ms

8000×

body

128

valid

Compiler

Compiled 68 to 69 computations (-1.5% saved)

Details

analyze3.0ms (0.1%)

sample17.0ms (0.5%)

simplify888.0ms (27.7%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite61.0ms (1.9%)

series56.0ms (1.7%)

simplify333.0ms (10.4%)

prune158.0ms (4.9%)

localize9.0ms (0.3%)

rewrite205.0ms (6.4%)

series209.0ms (6.5%)

simplify527.0ms (16.4%)

prune226.0ms (7%)

regimes31.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample479.0ms (14.9%)

Profiling