Details

analyze505.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
8.0ms	291×	pre	128	true
2.0ms	35×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify280.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite145.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

Rules

20×	`add-sqr-sqrt_binary64_4874`
14×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852`
9×	`pow1_binary64_4913`
8×	`add-log-exp_binary64_4891` `add-cube-cbrt_binary64_4887`
6×	`difference-of-squares_binary64_4821` `times-frac_binary64_4858` `associate-/l*_binary64_4797`
4×	`cancel-sign-sub-inv_binary64_4818` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
3×	`flip3--_binary64_4856` `flip--_binary64_4827` `sqrt-prod_binary64_4868` `distribute-lft-out--_binary64_4804` `pow-prod-down_binary64_4923` `associate-r_binary64_4792`
2×	`diff-log_binary64_4944` `sub-neg_binary64_4845` `div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `associate-/l/_binary64_4799`
1×	`frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/r_binary64_4796` `associate-l_binary64_4793` `-commutative_binary64_4783`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series661.0ms (5.2%)

Error

0.9b

Counts

4 → 60

Calls

4 calls:

206.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
169.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
158.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
59.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5268	2923

prune165.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	123	14	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	14	138

Error

0.6b

Counts

138 → 14

Compiler

Compiled 3366 to 1894 computations (43.7% saved)

localize234.0ms (1.8%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite554.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

109×	`add-exp-log_binary64_4890`
54×	`prod-exp_binary64_4901`
42×	`add-sqr-sqrt_binary64_4874`
30×	`div-exp_binary64_4903`
29×	`add-cbrt-cube_binary64_4888` `unpow-prod-down_binary64_4931`
24×	`pow-to-exp_binary64_4921` `pow-exp_binary64_4920`
22×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
19×	`times-frac_binary64_4858` `associate-/r_binary64_4796` `associate-r*_binary64_4792`
16×	`unswap-sqr_binary64_4820` `cube-prod_binary64_4880`
15×	`sqr-pow_binary64_4824`
13×	`associate-l_binary64_4793`
10×	`cbrt-unprod_binary64_4885`
6×	`cbrt-undiv_binary64_4886`
4×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `unpow3_binary64_4918` `cube-mult_binary64_4882`
2×	`frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/l_binary64_4797` `-commutative_binary64_4783`

Counts

4 → 178

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series825.0ms (6.5%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

323.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
211.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
126.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5093	3032

prune608.0ms (4.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	207	15	222

Error

0.6b

Counts

222 → 15

Compiler

Compiled 10567 to 6593 computations (37.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite571.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

127×	`add-exp-log_binary64_4890`
60×	`prod-exp_binary64_4901`
46×	`pow1_binary64_4913`
45×	`div-exp_binary64_4903`
42×	`add-cbrt-cube_binary64_4888`
35×	`pow-exp_binary64_4920`
34×	`pow-to-exp_binary64_4921`
19×	`times-frac_binary64_4858` `associate-/r*_binary64_4796`
18×	`pow-prod-down_binary64_4923` `cbrt-unprod_binary64_4885`
15×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
13×	`unpow-prod-down_binary64_4931`
7×	`cube-prod_binary64_4880` `cbrt-undiv_binary64_4886`
5×	`sqr-pow_binary64_4824`
4×	`add-log-exp_binary64_4891` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825`
3×	`pow-unpow_binary64_4929` `unpow3_binary64_4918` `cube-mult_binary64_4882`
2×	`pow-pow_binary64_4924` `rem-cube-cbrt_binary64_4875` `pow-plus_binary64_4915` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/l*_binary64_4797`
1×	`pow2_binary64_4933` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792` `*-commutative_binary64_4783`

Counts

4 → 168

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9569 to 5620 computations (41.3% saved)

series822.0ms (6.5%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

337.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
234.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
94.0ms	(pow.f64 (*.f64 a c) 3)
90.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4626 to 3315 computations (28.3% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune616.0ms (4.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	197	16	213

Error

0.6b

Counts

213 → 16

Compiler

Compiled 10781 to 6624 computations (38.6% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
35.7b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite538.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

85×	`add-exp-log_binary64_4890`
45×	`prod-exp_binary64_4901`
40×	`add-sqr-sqrt_binary64_4874`
26×	`unpow-prod-down_binary64_4931`
21×	`pow-to-exp_binary64_4921` `div-exp_binary64_4903` `pow-exp_binary64_4920`
20×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-cbrt-cube_binary64_4888`
19×	`associate-r_binary64_4792`
16×	`unswap-sqr_binary64_4820`
14×	`times-frac_binary64_4858` `sqr-pow_binary64_4824`
13×	`associate-l_binary64_4793`
12×	`log-pow_binary64_4941`
11×	`exp-prod_binary64_4904`
10×	`cube-prod_binary64_4880`
7×	`cbrt-unprod_binary64_4885` `associate-/r*_binary64_4796`
5×	`pow1_binary64_4913`
4×	`add-log-exp_binary64_4891`
3×	`log-prod_binary64_4938` `cbrt-undiv_binary64_4886`
2×	`div-inv_binary64_4849` `unpow3_binary64_4918` `cube-mult_binary64_4882` `*-commutative_binary64_4783`
1×	`rem-log-exp_binary64_4893` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `associate-/l*_binary64_4797`

Counts

4 → 154

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
5.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

Compiler

Compiled 8374 to 5380 computations (35.8% saved)

series1.2s (9.2%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

579.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
282.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
133.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
112.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4206 to 3199 computations (23.9% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5149	2763

prune501.0ms (3.9%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	184	16	200

Error

0.6b

Counts

200 → 16

Compiler

Compiled 9320 to 5990 computations (35.7% saved)

regimes1.0s (8.1%)

Accuracy

Total 4.4b remaining (86.7%)

Threshold costs 0b (0%)

Compiler

Compiled 13544 to 9899 computations (26.9% saved)

bsearch28.0ms (0.2%)

Steps

Iters	Range		Point
3	0.02699498978272398	0.03498355814266707	0.02967327259649066

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	303	120
1	303	120

end0.0ms (0%)

sample3.0s (23.9%)

Algorithm

1×

intervals

Results

398.0ms	7699×	body	128	valid
268.0ms	8959×	pre	128	true
43.0ms	959×	body	128	nan
33.0ms	301×	body	256	valid

Compiler

Compiled 2609 to 1909 computations (26.8% saved)

Details

analyze505.0ms (4%)

sample37.0ms (0.3%)

simplify280.0ms (2.2%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite145.0ms (1.1%)

series661.0ms (5.2%)

simplify62.0ms (0.5%)

prune165.0ms (1.3%)

localize234.0ms (1.8%)

rewrite554.0ms (4.4%)

series825.0ms (6.5%)

simplify90.0ms (0.7%)

prune608.0ms (4.8%)

localize30.0ms (0.2%)

rewrite571.0ms (4.5%)

series822.0ms (6.5%)

simplify83.0ms (0.6%)

prune616.0ms (4.8%)

localize32.0ms (0.3%)

rewrite538.0ms (4.2%)

series1.2s (9.2%)

simplify75.0ms (0.6%)

prune501.0ms (3.9%)

regimes1.0s (8.1%)

bsearch28.0ms (0.2%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.0s (23.9%)

Profiling