Details

analyze699.0ms (19%)

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)

sample29.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	180×	body	128	valid
3.0ms	26×	body	1024	valid
3.0ms	21×	body	2048	valid
2.0ms	21×	body	512	valid
2.0ms	52×	body	128	invalid
1.0ms	7×	body	512	invalid
0.0ms	8×	body	256	valid
0.0ms	6×	body	256	invalid
0.0ms	2×	body	1024	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify396.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

816×	`exp-prod_binary64_13770`
753×	`cube-prod_binary64_13746`
323×	`unsub-neg_binary64_13712`
207×	`distribute-neg-in_binary64_13679`
188×	`exp-sum_binary64_13764`
159×	`swap-sqr_binary64_13685`
158×	`+-commutative_binary64_13648`
156×	`distribute-neg-out_binary64_13680`
145×	`neg-mul-1_binary64_13714`
143×	`distribute-rgt-neg-in_binary64_13676`
142×	`sub-neg_binary64_13711`
135×	`neg-sub0_binary64_13713`
126×	`exp-diff_binary64_13766`
120×	`div-exp_binary64_13769`
118×	`distribute-lft-neg-in_binary64_13675`
110×	`times-frac_binary64_13724`
109×	`*-commutative_binary64_13649`
108×	`pow-plus_binary64_13781`
96×	`distribute-rgt1-in_binary64_13674`
89×	`distribute-rgt-neg-out_binary64_13678`
68×	`distribute-lft-neg-out_binary64_13677`
64×	`associate--l+_binary64_13655`
63×	`associate-+l+_binary64_13651`
62×	`associate-+r+_binary64_13650`
61×	`unpow3_binary64_13784`
60×	`associate-+l-_binary64_13653`
58×	`cube-mult_binary64_13748`
55×	`cancel-sign-sub-inv_binary64_13684`
50×	`associate-+r-_binary64_13652`
48×	`sqr-pow_binary64_13690`
41×	`distribute-rgt-out--_binary64_13672` `associate--l-_binary64_13656` `associate--r+_binary64_13654`
36×	`distribute-lft-out_binary64_13669`
34×	`remove-double-neg_binary64_13706`
30×	`distribute-rgt-out_binary64_13671`
29×	`pow-sqr_binary64_13691`
26×	`associate-r_binary64_13658`
24×	`pow-base-1_binary64_13778` `associate--r-_binary64_13657`
22×	`distribute-rgt-in_binary64_13668`
21×	`cube-div_binary64_13747`
20×	`distribute-lft-out--_binary64_13670`
17×	`distribute-lft-in_binary64_13667`
16×	`distribute-lft1-in_binary64_13673`
15×	`exp-neg_binary64_13765`
13×	`sub0-neg_binary64_13705`
10×	`prod-exp_binary64_13767` `sqr-neg_binary64_13732` `associate-l_binary64_13659`
7×	`distribute-neg-frac_binary64_13682`
6×	`exp-lft-sqr_binary64_13773` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `+-inverses_binary64_13697`
5×	`associate-/l*_binary64_13663`
4×	`cube-unmult_binary64_13755` `mul0-lft_binary64_13700` `count-2_binary64_13666`
3×	`--rgt-identity_binary64_13704`
2×	`mul0-rgt_binary64_13701` `difference-of-sqr--1_binary64_13689` `associate-*l/_binary64_13661`
1×	`pow-base-0_binary64_13802` `unpow-1_binary64_13775` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `cancel-sign-sub_binary64_13683` `associate-/r*_binary64_13662`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `log-prod_binary64_13804` `unpow1/3_binary64_13785` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `exp-to-pow_binary64_13780` `unpow0_binary64_13777` `unpow1_binary64_13776` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `div-sub_binary64_13723` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `div0_binary64_13699` `-inverses_binary64_13698` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `unswap-sqr_binary64_13686` `distribute-frac-neg_binary64_13681` `associate-/l/_binary64_13665` `associate-/r/_binary64_13664` `associate-r/_binary64_13660`

Counts

1 → 4

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	28	13
2	75	10
3	206	7
4	897	7
5	1499	7
6	3133	7

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_13740`
7×	`*-un-lft-identity_binary64_13718`
6×	`cancel-sign-sub-inv_binary64_13684`
5×	`add-cube-cbrt_binary64_13753` `associate-r_binary64_13658`
4×	`distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
3×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `associate-l_binary64_13659`
2×	`sub-neg_binary64_13711` `associate-*r/_binary64_13660`
1×	`pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `flip3--_binary64_13722` `flip--_binary64_13693` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `*-commutative_binary64_13649`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

Compiler

Compiled 338 to 111 computations (67.2% saved)

series149.0ms (4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

142.0ms

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

Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify146.0ms (4%)

Algorithm

1×	egg-herbie

Rules

418×	`neg-sub0_binary64_13713`
396×	`neg-mul-1_binary64_13714`
390×	`associate-l_binary64_13659`
330×	`associate-r_binary64_13658`
318×	`unswap-sqr_binary64_13686`
251×	`cancel-sign-sub-inv_binary64_13684`
249×	`distribute-rgt-neg-out_binary64_13678`
208×	`distribute-lft-neg-out_binary64_13677`
195×	`sqr-pow_binary64_13690`
173×	`exp-prod_binary64_13770`
169×	`distribute-rgt-in_binary64_13668`
167×	`distribute-lft-in_binary64_13667`
120×	`unsub-neg_binary64_13712`
80×	`associate-+r+_binary64_13650`
66×	`exp-sum_binary64_13764` `*-commutative_binary64_13649`
64×	`pow-sqr_binary64_13691`
59×	`associate-+l+_binary64_13651`
58×	`+-commutative_binary64_13648`
57×	`sub-neg_binary64_13711` `swap-sqr_binary64_13685`
55×	`*-rgt-identity_binary64_13708`
54×	`*-lft-identity_binary64_13707`
37×	`times-frac_binary64_13724`
32×	`difference-of-squares_binary64_13687`
26×	`div-sub_binary64_13723` `distribute-rgt-out_binary64_13671`
24×	`exp-diff_binary64_13766`
22×	`distribute-lft-out_binary64_13669`
20×	`cube-prod_binary64_13746` `distribute-rgt-neg-in_binary64_13676`
17×	`exp-to-pow_binary64_13780`
16×	`mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `associate-/l*_binary64_13663`
15×	`+-rgt-identity_binary64_13703`
13×	`log-prod_binary64_13804` `distribute-lft-neg-in_binary64_13675`
12×	`sqr-neg_binary64_13732`
11×	`cube-unmult_binary64_13755` `mul-1-neg_binary64_13710` `+-lft-identity_binary64_13702` `associate-+r-_binary64_13652`
10×	`sub0-neg_binary64_13705` `associate-+l-_binary64_13653`
7×	`unpow3_binary64_13784`
6×	`remove-double-neg_binary64_13706`
5×	`pow-plus_binary64_13781` `associate-/l/_binary64_13665`
4×	`exp-neg_binary64_13765` `--rgt-identity_binary64_13704` `distribute-rgt-out--_binary64_13672` `associate-*r/_binary64_13660`
3×	`prod-exp_binary64_13767`
2×	`cube-mult_binary64_13748` `cube-neg_binary64_13745` `rem-sqrt-square_binary64_13731` `/-rgt-identity_binary64_13709` `associate-*l/_binary64_13661` `associate--r+_binary64_13654`
1×	`log-pow_binary64_13807` `pow-base-1_binary64_13778` `div-exp_binary64_13769` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-log-exp_binary64_13759` `rem-3cbrt-lft_binary64_13743` `rem-square-sqrt_binary64_13730` `div0_binary64_13699` `*-inverses_binary64_13698` `rgt-mult-inverse_binary64_13695` `count-2_binary64_13666`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-rec_binary64_13806` `log-div_binary64_13805` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-exp-log_binary64_13758` `cube-div_binary64_13747` `rem-3cbrt-rft_binary64_13744` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-neg-in_binary64_13679` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `associate-/r/_binary64_13664` `associate-/r*_binary64_13662` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate--l+_binary64_13655`

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

prune32.0ms (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)))

rewrite108.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`pow1_binary64_13779`
16×	`sqrt-div_binary64_13735`
14×	`add-sqr-sqrt_binary64_13740`
13×	`pow-prod-down_binary64_13789`
12×	`sqrt-pow1_binary64_13736` `associate-*l/_binary64_13661`
10×	`associate-r/_binary64_13660` `-un-lft-identity_binary64_13718`
9×	`flip3--_binary64_13722` `flip--_binary64_13693` `associate-l_binary64_13659`
8×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753`
7×	`associate-r_binary64_13658`
4×	`pow1/2_binary64_13798` `add-log-exp_binary64_13757` `sqrt-prod_binary64_13734` `frac-times_binary64_13728`
2×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `*-commutative_binary64_13649`
1×	`sqrt-unprod_binary64_13738` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`

Counts

4 → 82

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
7.0ms	(*.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)

series617.0ms (16.7%)

Error

Counts

4 → 51

Calls

4 calls:

164.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
145.0ms	(*.f64 (-.f64 x z) y)
141.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
136.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))

Compiler

Compiled 2230 to 1359 computations (39.1% saved)

simplify222.0ms (6%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64_13686`
227×	`times-frac_binary64_13724`
203×	`distribute-rgt-in_binary64_13668`
201×	`distribute-lft-in_binary64_13667`
169×	`distribute-lft-neg-out_binary64_13677`
167×	`distribute-rgt-neg-out_binary64_13678`
166×	`distribute-neg-frac_binary64_13682`
160×	`*-commutative_binary64_13649`
138×	`cancel-sign-sub-inv_binary64_13684`
105×	`associate-/r_binary64_13662` `associate-l*_binary64_13659`
99×	`associate-/l*_binary64_13663`
94×	`associate-r_binary64_13658`
91×	`sqr-pow_binary64_13690`
75×	`neg-sub0_binary64_13713`
74×	`neg-mul-1_binary64_13714`
66×	`associate-*r/_binary64_13660`
62×	`associate-*l/_binary64_13661`
58×	`distribute-frac-neg_binary64_13681`
52×	`exp-prod_binary64_13770`
45×	`sub-neg_binary64_13711`
43×	`div-sub_binary64_13723` `pow-sqr_binary64_13691`
40×	`unsub-neg_binary64_13712` `*-rgt-identity_binary64_13708`
38×	`*-lft-identity_binary64_13707`
33×	`swap-sqr_binary64_13685`
27×	`log-prod_binary64_13804`
25×	`associate-/r/_binary64_13664`
23×	`distribute-rgt-neg-in_binary64_13676`
21×	`cube-prod_binary64_13746`
19×	`pow-plus_binary64_13781` `distribute-lft-neg-in_binary64_13675` `+-commutative_binary64_13648`
17×	`difference-of-squares_binary64_13687`
16×	`exp-sqrt_binary64_13771`
14×	`rem-sqrt-square_binary64_13731`
13×	`exp-sum_binary64_13764` `cube-div_binary64_13747`
12×	`log-div_binary64_13805`
10×	`exp-diff_binary64_13766`
8×	`rem-square-sqrt_binary64_13730` `+-rgt-identity_binary64_13703` `associate-+r-_binary64_13652`
7×	`associate-/l/_binary64_13665` `associate-+l-_binary64_13653` `associate-+l+_binary64_13651` `associate-+r+_binary64_13650`
6×	`sub0-neg_binary64_13705`
5×	`cube-unmult_binary64_13755`
4×	`log-pow_binary64_13807` `unpow3_binary64_13784` `unpow2_binary64_13783` `unpow1_binary64_13776` `sqr-neg_binary64_13732`
3×	`cube-mult_binary64_13748` `distribute-rgt-out_binary64_13671`
2×	`exp-neg_binary64_13765` `div0_binary64_13699` `*-inverses_binary64_13698` `distribute-neg-in_binary64_13679` `associate--l+_binary64_13655`
1×	`exp-lft-sqr_binary64_13773` `prod-exp_binary64_13767` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-log-exp_binary64_13759` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `rgt-mult-inverse_binary64_13695` `distribute-rgt-out--_binary64_13672` `count-2_binary64_13666`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-rec_binary64_13806` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow1/2_binary64_13782` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `div-exp_binary64_13769` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `remove-double-neg_binary64_13706` `--rgt-identity_binary64_13704` `+-lft-identity_binary64_13702` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-neg-out_binary64_13680` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `distribute-lft-out_binary64_13669` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate--r+_binary64_13654`

Counts

133 → 168

Iterations

Useful iterations: 2 (0.0ms)

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

prune143.0ms (3.9%)

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)

regimes78.0ms (2.1%)

Accuracy

Total 0.0b remaining (66%)

Threshold costs 0.0b (66%)

Compiler

Compiled 448 to 336 computations (25% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_13711` `*-commutative_binary64_13649` `+-commutative_binary64_13648`
1×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
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_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `unpow1_binary64_13776` `e-exp-1_binary64_13763` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `unsub-neg_binary64_13712` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `cancel-sign-sub-inv_binary64_13684` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-neg-in_binary64_13679` `distribute-rgt-neg-out_binary64_13678` `distribute-lft-neg-out_binary64_13677` `distribute-rgt-neg-in_binary64_13676` `distribute-lft-neg-in_binary64_13675`

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 (27.6%)

Algorithm

1×

intervals

Results

196.0ms	5856×	body	128	valid
89.0ms	774×	body	1024	valid
77.0ms	513×	body	2048	valid
55.0ms	1575×	body	128	invalid
52.0ms	556×	body	512	valid
21.0ms	301×	body	256	valid
21.0ms	152×	body	1024	invalid
18.0ms	205×	body	512	invalid
9.0ms	144×	body	256	invalid

Compiler

Compiled 129 to 98 computations (24% saved)

Details

analyze699.0ms (19%)

sample29.0ms (0.8%)

simplify396.0ms (10.7%)

prune9.0ms (0.2%)

localize4.0ms (0.1%)

rewrite28.0ms (0.8%)

series149.0ms (4%)

simplify146.0ms (4%)

prune32.0ms (0.9%)

localize8.0ms (0.2%)

rewrite108.0ms (2.9%)

series617.0ms (16.7%)

simplify222.0ms (6%)

prune143.0ms (3.9%)

regimes78.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.6%)

Profiling