Details

analyze1.1s (17.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5129	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample32.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	215×	body	128	valid
2.0ms	16×	body	512	valid
2.0ms	11×	body	1024	valid
1.0ms	13×	body	256	valid
1.0ms	21×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
1.5b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_13718`
21×	`add-sqr-sqrt_binary64_13740`
11×	`cancel-sign-sub-inv_binary64_13684`
10×	`add-cbrt-cube_binary64_13754` `times-frac_binary64_13724` `add-exp-log_binary64_13756`
9×	`add-cube-cbrt_binary64_13753`
8×	`add-log-exp_binary64_13757`
6×	`distribute-lft-out--_binary64_13670`
5×	`pow1_binary64_13779` `associate-/r_binary64_13662` `difference-of-squares_binary64_13687` `associate-l*_binary64_13659` `flip3--_binary64_13722` `flip--_binary64_13693`
4×	`associate-*l/_binary64_13661` `associate-/r/_binary64_13664`
3×	`associate-r_binary64_13658`
2×	`frac-sub_binary64_13727` `prod-exp_binary64_13767` `diff-log_binary64_13810` `div-exp_binary64_13769` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `div-inv_binary64_13715` `associate-/l/_binary64_13665`
1×	`frac-2neg_binary64_13729` `-commutative_binary64_13649` `flip3-+_binary64_13721` `distribute-lft-out_binary64_13669` `sub-neg_binary64_13711` `sum-log_binary64_13809` `unswap-sqr_binary64_13686` `pow-prod-down_binary64_13789` `associate-/l_binary64_13663` `flip-+_binary64_13692` `clear-num_binary64_13717` `associate--l+_binary64_13655`

Counts

3 → 80

Calls

3 calls:

12.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
7.0ms	(*.f64 (-.f64 z t) y)

series263.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

168.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
69.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
26.0ms	(*.f64 (-.f64 z t) y)

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5407	1513

prune99.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Error

2.9b

Counts

90 → 11

Compiler

Compiled 1875 to 470 computations (74.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
3.4b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
12.1b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite103.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

373×	`times-frac_binary64_13724`
313×	`add-sqr-sqrt_binary64_13740`
309×	`*-un-lft-identity_binary64_13718`
152×	`add-cube-cbrt_binary64_13753`
100×	`cancel-sign-sub-inv_binary64_13684`
79×	`difference-of-squares_binary64_13687`
78×	`distribute-lft-out--_binary64_13670`
22×	`associate-/r*_binary64_13662`
14×	`div-inv_binary64_13715`
10×	`add-cbrt-cube_binary64_13754` `associate-/l*_binary64_13663` `add-exp-log_binary64_13756`
8×	`add-log-exp_binary64_13757`
4×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-/l/_binary64_13665`
3×	`pow1_binary64_13779` `div-sub_binary64_13723` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`frac-sub_binary64_13727` `frac-2neg_binary64_13729` `associate-/r/_binary64_13664` `diff-log_binary64_13810` `clear-num_binary64_13717`
1×	`flip3-+_binary64_13721` `distribute-lft-out_binary64_13669` `sub-neg_binary64_13711` `sum-log_binary64_13809` `flip-+_binary64_13692` `associate--r-_binary64_13657` `associate--l+_binary64_13655`

Counts

3 → 296

Calls

3 calls:

47.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
13.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

series300.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

167.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
110.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
23.0ms	(/.f64 (-.f64 a t) y)

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4994	8689
1	4994	8689

prune242.0ms (3.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	298	7	305
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	303	13	316

Error

2.5b

Counts

316 → 13

Compiler

Compiled 7637 to 1036 computations (86.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
5.3b	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
12.1b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite105.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

373×	`times-frac_binary64_13724`
313×	`add-sqr-sqrt_binary64_13740`
307×	`*-un-lft-identity_binary64_13718`
152×	`add-cube-cbrt_binary64_13753`
100×	`cancel-sign-sub-inv_binary64_13684`
79×	`difference-of-squares_binary64_13687`
77×	`distribute-lft-out--_binary64_13670`
22×	`associate-/r*_binary64_13662`
14×	`div-inv_binary64_13715`
10×	`add-cbrt-cube_binary64_13754` `associate-/l*_binary64_13663` `add-exp-log_binary64_13756`
5×	`add-log-exp_binary64_13757`
4×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-/l/_binary64_13665`
3×	`pow1_binary64_13779` `div-sub_binary64_13723` `associate-/r/_binary64_13664` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`frac-2neg_binary64_13729` `clear-num_binary64_13717`
1×	`sub-neg_binary64_13711` `distribute-rgt-out--_binary64_13672` `diff-log_binary64_13810` `associate--r-_binary64_13657`

Counts

3 → 292

Calls

3 calls:

38.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
16.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

series233.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

109.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
101.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
23.0ms	(/.f64 (-.f64 a t) y)

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5944	7771

prune232.0ms (3.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	297	4	301
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	301	13	314

Error

2.5b

Counts

314 → 13

Compiler

Compiled 7031 to 1136 computations (83.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.3b	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
2.2b	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite74.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`add-sqr-sqrt_binary64_13740`
142×	`*-un-lft-identity_binary64_13718`
104×	`times-frac_binary64_13724`
93×	`cancel-sign-sub-inv_binary64_13684`
50×	`difference-of-squares_binary64_13687` `add-cube-cbrt_binary64_13753`
44×	`distribute-lft-out--_binary64_13670`
33×	`distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668`
8×	`associate-/r/_binary64_13664` `associate-r_binary64_13658`
7×	`add-cbrt-cube_binary64_13754` `add-exp-log_binary64_13756` `flip3--_binary64_13722` `flip--_binary64_13693`
5×	`pow1_binary64_13779` `associate-/r_binary64_13662` `add-log-exp_binary64_13757` `associate-/l_binary64_13663`
4×	`div-sub_binary64_13723` `div-inv_binary64_13715`
3×	`sub-neg_binary64_13711` `associate-l_binary64_13659` `associate--r-_binary64_13657`
2×	`associate-*r/_binary64_13660` `associate-/l/_binary64_13665`
1×	`frac-2neg_binary64_13729` `*-commutative_binary64_13649` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `diff-log_binary64_13810` `pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-unprod_binary64_13751` `clear-num_binary64_13717` `cbrt-undiv_binary64_13752`

Counts

3 → 191

Calls

3 calls:

27.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
17.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series229.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
74.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))
38.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5662	4119

prune146.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	200	13	213

Error

2.5b

Counts

213 → 13

Compiler

Compiled 3923 to 966 computations (75.4% saved)

regimes851.0ms (13.6%)

Accuracy

Total 3.7b remaining (55.3%)

Threshold costs 0b (0%)

Compiler

Compiled 7770 to 5094 computations (34.4% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	309	105
1	309	105

end0.0ms (0%)

sample1.7s (27.2%)

Algorithm

1×

intervals

Results

274.0ms	6814×	body	128	valid
48.0ms	456×	body	512	valid
46.0ms	330×	body	1024	valid
39.0ms	722×	body	128	invalid
28.0ms	349×	body	256	valid
9.0ms	51×	body	2048	valid

Compiler

Compiled 1448 to 921 computations (36.4% saved)

Details

analyze1.1s (17.6%)

sample32.0ms (0.5%)

simplify136.0ms (2.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite33.0ms (0.5%)

series263.0ms (4.2%)

simplify43.0ms (0.7%)

prune99.0ms (1.6%)

localize9.0ms (0.1%)

rewrite103.0ms (1.6%)

series300.0ms (4.8%)

simplify112.0ms (1.8%)

prune242.0ms (3.9%)

localize9.0ms (0.1%)

rewrite105.0ms (1.7%)

series233.0ms (3.7%)

simplify107.0ms (1.7%)

prune232.0ms (3.7%)

localize9.0ms (0.1%)

rewrite74.0ms (1.2%)

series229.0ms (3.6%)

simplify73.0ms (1.2%)

prune146.0ms (2.3%)

regimes851.0ms (13.6%)

bsearch3.0ms (0.1%)

simplify12.0ms (0.2%)

end0.0ms (0%)

sample1.7s (27.2%)

Profiling