Details

analyze42.0ms (1.9%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

sample38.0ms (1.7%)

Algorithm

1×

intervals

Results

20.0ms	87×	body	1280	valid
5.0ms	47×	body	640	valid
2.0ms	87×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	3×	body	80	invalid

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4778	6
1	4778	6

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 31.0b

Counts

2 → 1

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
3.6b	(-.f64 (exp.f64 (*.f64 a x)) 1.0)

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

2 → 23

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1.0)
2.0ms	(exp.f64 (*.f64 a x))

series13.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1.0)
4.0ms	(exp.f64 (*.f64 a x))

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4915	224
1	4915	224

prune47.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	5	30

Merged error: 3.9b

Counts

30 → 5

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
5.2b	(.f64 x (.f64 1/6 (pow.f64 a 3)))
8.6b	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))
9.5b	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))

rewrite31.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64`
9×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`
1×	`pow-to-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

10.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
7.0ms	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))
7.0ms	(.f64 x (.f64 1/6 (pow.f64 a 3)))
6.0ms	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))

series82.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
27.0ms	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
13.0ms	(.f64 x (.f64 1/6 (pow.f64 a 3)))
11.0ms	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))

simplify30.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5186	1359

prune130.0ms (6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 2.2b

Counts

91 → 7

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

2.4b	(+.f64 (.f64 x a) (.f64 1/2 (.f64 x (.f64 x (*.f64 a a)))))
3.7b	(.f64 x (.f64 x (*.f64 a a)))
10.3b	(.f64 x (.f64 a a))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 51

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (*.f64 a a)))
6.0ms	(.f64 x (.f64 a a))
6.0ms	(+.f64 (.f64 x a) (.f64 1/2 (.f64 x (.f64 x (*.f64 a a)))))

series33.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (.f64 x a) (.f64 1/2 (.f64 x (.f64 x (*.f64 a a)))))
8.0ms	(.f64 x (.f64 x (*.f64 a a)))
8.0ms	(.f64 x (.f64 a a))

simplify29.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4968	476
1	4968	476

prune76.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Merged error: 0.1b

Counts

67 → 5

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(pow.f64 (*.f64 x a) 6)
2.4b	(+.f64 (.f64 x a) (.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x a) 6))))
17.3b	(cbrt.f64 (pow.f64 (*.f64 x a) 6))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
3×	`pow-unpow_binary64` `add-cbrt-cube_binary64`
2×	`pow-pow_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `pow1/3_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 41

Calls

3 calls:

4.0ms	(+.f64 (.f64 x a) (.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x a) 6))))
4.0ms	(pow.f64 (*.f64 x a) 6)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 x a) 6))

series40.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (.f64 x a) (.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x a) 6))))
15.0ms	(pow.f64 (*.f64 x a) 6)
8.0ms	(cbrt.f64 (pow.f64 (*.f64 x a) 6))

simplify59.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5156	413

prune55.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0.1b

Counts

55 → 5

regimes318.0ms (14.7%)

Accuracy

Total 0.4b remaining (76.6%)

Threshold costs 0.4b (76.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	26
1	30	26

end0.0ms (0%)

sample921.0ms (42.7%)

Algorithm

1×

intervals

Results

476.0ms	2679×	body	1280	valid
150.0ms	1326×	body	640	valid
71.0ms	2826×	body	80	valid
58.0ms	758×	body	320	valid
21.0ms	411×	body	160	valid
3.0ms	130×	body	80	invalid

Details

analyze42.0ms (1.9%)

sample38.0ms (1.7%)

simplify68.0ms (3.1%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series13.0ms (0.6%)

simplify69.0ms (3.2%)

prune47.0ms (2.2%)

localize12.0ms (0.6%)

rewrite31.0ms (1.5%)

series82.0ms (3.8%)

simplify30.0ms (1.4%)

prune130.0ms (6%)

localize8.0ms (0.4%)

rewrite21.0ms (1%)

series33.0ms (1.5%)

simplify29.0ms (1.3%)

prune76.0ms (3.5%)

localize7.0ms (0.3%)

rewrite11.0ms (0.5%)

series40.0ms (1.8%)

simplify59.0ms (2.7%)

prune55.0ms (2.5%)

regimes318.0ms (14.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample921.0ms (42.7%)

Profiling