Details

analyze526.0ms (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample35.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	180×	body	128	valid
3.0ms	21×	body	2048	valid
3.0ms	26×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	44×	body	128	invalid
1.0ms	11×	body	512	invalid
1.0ms	5×	body	1024	invalid
0.0ms	8×	body	256	valid
0.0ms	7×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify379.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

806×	`exp-prod_binary64_22636`
740×	`cube-prod_binary64_22612`
273×	`unsub-neg_binary64_22578`
189×	`distribute-neg-in_binary64_22545`
181×	`exp-sum_binary64_22630`
176×	`sub-neg_binary64_22577`
160×	`swap-sqr_binary64_22551`
152×	`distribute-rgt-neg-in_binary64_22542`
148×	`+-commutative_binary64_22514`
128×	`neg-mul-1_binary64_22580`
127×	`distribute-neg-out_binary64_22546`
125×	`distribute-lft-neg-in_binary64_22541`
120×	`div-exp_binary64_22635`
118×	`neg-sub0_binary64_22579`
111×	`exp-diff_binary64_22632`
110×	`times-frac_binary64_22590`
108×	`*-commutative_binary64_22515`
107×	`pow-plus_binary64_22647`
95×	`distribute-rgt1-in_binary64_22540`
86×	`distribute-rgt-neg-out_binary64_22544`
68×	`distribute-lft-neg-out_binary64_22543`
62×	`cancel-sign-sub-inv_binary64_22550` `associate--l+_binary64_22521`
60×	`unpow3_binary64_22650`
57×	`cube-mult_binary64_22614`
51×	`associate-+r-_binary64_22518`
50×	`associate-+l-_binary64_22519`
48×	`sqr-pow_binary64_22556` `associate-+r+_binary64_22516`
47×	`associate--r+_binary64_22520`
45×	`associate--l-_binary64_22522`
40×	`distribute-rgt-out--_binary64_22538`
38×	`associate-+l+_binary64_22517`
33×	`remove-double-neg_binary64_22572`
30×	`associate--r-_binary64_22523`
29×	`pow-sqr_binary64_22557`
28×	`distribute-lft-out_binary64_22535`
25×	`distribute-rgt-out_binary64_22537` `distribute-lft-out--_binary64_22536` `associate-r_binary64_22524`
24×	`pow-base-1_binary64_22644`
21×	`cube-div_binary64_22613`
18×	`distribute-rgt-in_binary64_22534`
17×	`sub0-neg_binary64_22571`
16×	`distribute-lft1-in_binary64_22539`
15×	`exp-neg_binary64_22631` `distribute-lft-in_binary64_22533`
11×	`sqr-neg_binary64_22598`
10×	`prod-exp_binary64_22633`
9×	`--rgt-identity_binary64_22570` `associate-l_binary64_22525`
7×	`distribute-neg-frac_binary64_22548`
6×	`exp-lft-sqr_binary64_22639` `+-rgt-identity_binary64_22569` `+-inverses_binary64_22563`
5×	`associate-/l*_binary64_22529`
4×	`cube-unmult_binary64_22621` `count-2_binary64_22532`
3×	`+-lft-identity_binary64_22568`
2×	`mul0-lft_binary64_22566` `difference-of-sqr--1_binary64_22555` `associate-*l/_binary64_22527`
1×	`pow-base-0_binary64_22668` `unpow-1_binary64_22641` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `mul0-rgt_binary64_22567` `difference-of-sqr-1_binary64_22554` `difference-of-squares_binary64_22553` `cancel-sign-sub_binary64_22549` `associate-/r*_binary64_22528`
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_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `log-pow_binary64_22673` `log-rec_binary64_22672` `log-div_binary64_22671` `log-prod_binary64_22670` `unpow1/3_binary64_22651` `unpow2_binary64_22649` `unpow1/2_binary64_22648` `exp-to-pow_binary64_22646` `unpow0_binary64_22643` `unpow1_binary64_22642` `exp-lft-cube_binary64_22640` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `rec-exp_binary64_22634` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `rem-sqrt-square_binary64_22597` `rem-square-sqrt_binary64_22596` `div-sub_binary64_22589` `mul-1-neg_binary64_22576` `/-rgt-identity_binary64_22575` `-rgt-identity_binary64_22574` `-lft-identity_binary64_22573` `div0_binary64_22565` `-inverses_binary64_22564` `lft-mult-inverse_binary64_22562` `rgt-mult-inverse_binary64_22561` `remove-double-div_binary64_22560` `unswap-sqr_binary64_22552` `distribute-frac-neg_binary64_22547` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530` `associate-r/_binary64_22526`

Counts

1 → 3

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	26	10
2	72	7
3	194	7
4	859	7
5	1406	7
6	3008	7

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Compiler

Compiled 32 to 18 computations (43.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_22606`
7×	`*-un-lft-identity_binary64_22584`
6×	`cancel-sign-sub-inv_binary64_22550`
5×	`add-cube-cbrt_binary64_22619` `associate-r_binary64_22524`
4×	`distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533`
3×	`pow1_binary64_22645` `add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620` `associate-l_binary64_22525`
2×	`sub-neg_binary64_22577` `associate-*r/_binary64_22526`
1×	`pow-prod-down_binary64_22655` `prod-exp_binary64_22633` `add-log-exp_binary64_22623` `cbrt-unprod_binary64_22617` `unswap-sqr_binary64_22552` `flip3--_binary64_22588` `flip--_binary64_22559` `difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536` `*-commutative_binary64_22515`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 338 to 111 computations (67.2% saved)

series155.0ms (4.4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

148.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify140.0ms (4%)

Algorithm

1×	egg-herbie

Rules

418×	`neg-sub0_binary64_22579`
396×	`neg-mul-1_binary64_22580`
390×	`associate-l_binary64_22525`
330×	`associate-r_binary64_22524`
318×	`unswap-sqr_binary64_22552`
251×	`cancel-sign-sub-inv_binary64_22550`
249×	`distribute-rgt-neg-out_binary64_22544`
208×	`distribute-lft-neg-out_binary64_22543`
195×	`sqr-pow_binary64_22556`
173×	`exp-prod_binary64_22636`
169×	`distribute-rgt-in_binary64_22534`
167×	`distribute-lft-in_binary64_22533`
120×	`unsub-neg_binary64_22578`
80×	`associate-+r+_binary64_22516`
66×	`exp-sum_binary64_22630` `*-commutative_binary64_22515`
64×	`pow-sqr_binary64_22557`
59×	`associate-+l+_binary64_22517`
58×	`+-commutative_binary64_22514`
57×	`sub-neg_binary64_22577` `swap-sqr_binary64_22551`
55×	`*-rgt-identity_binary64_22574`
54×	`*-lft-identity_binary64_22573`
37×	`times-frac_binary64_22590`
32×	`difference-of-squares_binary64_22553`
26×	`div-sub_binary64_22589` `distribute-rgt-out_binary64_22537`
24×	`exp-diff_binary64_22632`
22×	`distribute-lft-out_binary64_22535`
20×	`cube-prod_binary64_22612` `distribute-rgt-neg-in_binary64_22542`
17×	`exp-to-pow_binary64_22646`
16×	`mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `associate-/l*_binary64_22529`
15×	`+-rgt-identity_binary64_22569`
13×	`log-prod_binary64_22670` `distribute-lft-neg-in_binary64_22541`
12×	`sqr-neg_binary64_22598`
11×	`cube-unmult_binary64_22621` `mul-1-neg_binary64_22576` `+-lft-identity_binary64_22568` `associate-+r-_binary64_22518`
10×	`sub0-neg_binary64_22571` `associate-+l-_binary64_22519`
7×	`unpow3_binary64_22650`
6×	`remove-double-neg_binary64_22572`
5×	`pow-plus_binary64_22647` `associate-/l/_binary64_22531`
4×	`exp-neg_binary64_22631` `--rgt-identity_binary64_22570` `distribute-rgt-out--_binary64_22538` `associate-*r/_binary64_22526`
3×	`prod-exp_binary64_22633`
2×	`cube-mult_binary64_22614` `cube-neg_binary64_22611` `rem-sqrt-square_binary64_22597` `/-rgt-identity_binary64_22575` `associate-*l/_binary64_22527` `associate--r+_binary64_22520`
1×	`log-pow_binary64_22673` `pow-base-1_binary64_22644` `div-exp_binary64_22635` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `rem-log-exp_binary64_22625` `rem-3cbrt-lft_binary64_22609` `rem-square-sqrt_binary64_22596` `div0_binary64_22565` `*-inverses_binary64_22564` `rgt-mult-inverse_binary64_22561` `count-2_binary64_22532`
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_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `log-rec_binary64_22672` `log-div_binary64_22671` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `unpow2_binary64_22649` `unpow1/2_binary64_22648` `unpow0_binary64_22643` `unpow1_binary64_22642` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `rec-exp_binary64_22634` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-exp-log_binary64_22624` `cube-div_binary64_22613` `rem-3cbrt-rft_binary64_22610` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `remove-double-div_binary64_22560` `difference-of-sqr--1_binary64_22555` `difference-of-sqr-1_binary64_22554` `cancel-sign-sub_binary64_22549` `distribute-neg-frac_binary64_22548` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-neg-in_binary64_22545` `distribute-rgt1-in_binary64_22540` `distribute-lft1-in_binary64_22539` `distribute-lft-out--_binary64_22536` `associate-/r/_binary64_22530` `associate-/r*_binary64_22528` `associate--r-_binary64_22523` `associate--l-_binary64_22522` `associate--l+_binary64_22521`

Counts

45 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	416
1	161	386
2	458	386
3	1722	386
4	3103	386

prune31.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	2	60

Error

Counts

60 → 2

Compiler

Compiled 531 to 87 computations (83.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 x z) y)
0.3b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
3.0b	(sqrt.f64 (*.f64 (-.f64 x z) y))
3.0b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite112.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`pow1_binary64_22645`
16×	`sqrt-div_binary64_22601`
14×	`add-sqr-sqrt_binary64_22606`
13×	`pow-prod-down_binary64_22655`
12×	`sqrt-pow1_binary64_22602` `associate-*l/_binary64_22527`
10×	`associate-r/_binary64_22526` `-un-lft-identity_binary64_22584`
9×	`flip3--_binary64_22588` `flip--_binary64_22559` `associate-l_binary64_22525`
8×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620` `add-cube-cbrt_binary64_22619`
7×	`associate-r_binary64_22524`
4×	`pow1/2_binary64_22664` `add-log-exp_binary64_22623` `sqrt-prod_binary64_22600` `frac-times_binary64_22594`
2×	`prod-exp_binary64_22633` `cbrt-unprod_binary64_22617` `unswap-sqr_binary64_22552` `*-commutative_binary64_22515`
1×	`sqrt-unprod_binary64_22604` `difference-of-squares_binary64_22553` `distribute-lft-out--_binary64_22536`

Counts

4 → 82

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
6.0ms	(*.f64 (-.f64 x z) y)
5.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 1727 to 348 computations (79.8% saved)

series612.0ms (17.5%)

Error

Counts

4 → 51

Calls

4 calls:

162.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
151.0ms	(*.f64 (-.f64 x z) y)
137.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
133.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 2230 to 1359 computations (39.1% saved)

simplify217.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64_22552`
227×	`times-frac_binary64_22590`
203×	`distribute-rgt-in_binary64_22534`
201×	`distribute-lft-in_binary64_22533`
169×	`distribute-lft-neg-out_binary64_22543`
167×	`distribute-rgt-neg-out_binary64_22544`
166×	`distribute-neg-frac_binary64_22548`
160×	`*-commutative_binary64_22515`
138×	`cancel-sign-sub-inv_binary64_22550`
105×	`associate-/r_binary64_22528` `associate-l*_binary64_22525`
99×	`associate-/l*_binary64_22529`
94×	`associate-r_binary64_22524`
91×	`sqr-pow_binary64_22556`
75×	`neg-sub0_binary64_22579`
74×	`neg-mul-1_binary64_22580`
66×	`associate-*r/_binary64_22526`
62×	`associate-*l/_binary64_22527`
58×	`distribute-frac-neg_binary64_22547`
52×	`exp-prod_binary64_22636`
45×	`sub-neg_binary64_22577`
43×	`div-sub_binary64_22589` `pow-sqr_binary64_22557`
40×	`unsub-neg_binary64_22578` `*-rgt-identity_binary64_22574`
38×	`*-lft-identity_binary64_22573`
33×	`swap-sqr_binary64_22551`
27×	`log-prod_binary64_22670`
25×	`associate-/r/_binary64_22530`
23×	`distribute-rgt-neg-in_binary64_22542`
21×	`cube-prod_binary64_22612`
19×	`pow-plus_binary64_22647` `distribute-lft-neg-in_binary64_22541` `+-commutative_binary64_22514`
17×	`difference-of-squares_binary64_22553`
16×	`exp-sqrt_binary64_22637`
14×	`rem-sqrt-square_binary64_22597`
13×	`exp-sum_binary64_22630` `cube-div_binary64_22613`
12×	`log-div_binary64_22671`
10×	`exp-diff_binary64_22632`
8×	`rem-square-sqrt_binary64_22596` `+-rgt-identity_binary64_22569` `associate-+r-_binary64_22518`
7×	`associate-/l/_binary64_22531` `associate-+l-_binary64_22519` `associate-+l+_binary64_22517` `associate-+r+_binary64_22516`
6×	`sub0-neg_binary64_22571`
5×	`cube-unmult_binary64_22621`
4×	`log-pow_binary64_22673` `unpow3_binary64_22650` `unpow2_binary64_22649` `unpow1_binary64_22642` `sqr-neg_binary64_22598`
3×	`cube-mult_binary64_22614` `distribute-rgt-out_binary64_22537`
2×	`exp-neg_binary64_22631` `div0_binary64_22565` `*-inverses_binary64_22564` `distribute-neg-in_binary64_22545` `associate--l+_binary64_22521`
1×	`exp-lft-sqr_binary64_22639` `prod-exp_binary64_22633` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `rem-log-exp_binary64_22625` `mul-1-neg_binary64_22576` `/-rgt-identity_binary64_22575` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `rgt-mult-inverse_binary64_22561` `distribute-rgt-out--_binary64_22538` `count-2_binary64_22532`
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_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `log-rec_binary64_22672` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `unpow1/2_binary64_22648` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-cbrt_binary64_22638` `div-exp_binary64_22635` `rec-exp_binary64_22634` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `remove-double-neg_binary64_22572` `--rgt-identity_binary64_22570` `+-lft-identity_binary64_22568` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `remove-double-div_binary64_22560` `difference-of-sqr--1_binary64_22555` `difference-of-sqr-1_binary64_22554` `cancel-sign-sub_binary64_22549` `distribute-neg-out_binary64_22546` `distribute-rgt1-in_binary64_22540` `distribute-lft1-in_binary64_22539` `distribute-lft-out--_binary64_22536` `distribute-lft-out_binary64_22535` `associate--r-_binary64_22523` `associate--l-_binary64_22522` `associate--r+_binary64_22520`

Counts

133 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1757
1	236	1621
2	844	1605
3	2634	1605

prune151.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	2	170

Error

Counts

170 → 2

Compiler

Compiled 3454 to 765 computations (77.9% saved)

regimes74.0ms (2.1%)

Accuracy

Total 0.0b remaining (44.7%)

Threshold costs 0.0b (44.7%)

Compiler

Compiled 420 to 308 computations (26.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_22577` `*-commutative_binary64_22515` `+-commutative_binary64_22514`
1×	`neg-mul-1_binary64_22580` `neg-sub0_binary64_22579`
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_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `unpow1_binary64_22642` `e-exp-1_binary64_22629` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `exp-0_binary64_22626` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `unsub-neg_binary64_22578` `mul-1-neg_binary64_22576` `/-rgt-identity_binary64_22575` `-rgt-identity_binary64_22574` `-lft-identity_binary64_22573` `remove-double-neg_binary64_22572` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `cancel-sign-sub-inv_binary64_22550` `cancel-sign-sub_binary64_22549` `distribute-neg-frac_binary64_22548` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-neg-in_binary64_22545` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-neg-out_binary64_22543` `distribute-rgt-neg-in_binary64_22542` `distribute-lft-neg-in_binary64_22541`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7

Proof

(* f64 h0 (- f64 h1 h2))

end0.0ms (0%)

sample1.0s (29%)

Algorithm

1×

intervals

Results

197.0ms	5857×	body	128	valid
102.0ms	770×	body	1024	valid
83.0ms	514×	body	2048	valid
50.0ms	559×	body	512	valid
47.0ms	1391×	body	128	invalid
25.0ms	283×	body	512	invalid
24.0ms	203×	body	1024	invalid
18.0ms	300×	body	256	valid
12.0ms	199×	body	256	invalid

Compiler

Compiled 122 to 91 computations (25.4% saved)

Details

analyze526.0ms (15%)

sample35.0ms (1%)

simplify379.0ms (10.8%)

prune7.0ms (0.2%)

localize4.0ms (0.1%)

rewrite32.0ms (0.9%)

series155.0ms (4.4%)

simplify140.0ms (4%)

prune31.0ms (0.9%)

localize8.0ms (0.2%)

rewrite112.0ms (3.2%)

series612.0ms (17.5%)

simplify217.0ms (6.2%)

prune151.0ms (4.3%)

regimes74.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (29%)

Profiling