Details

analyze1.9s (24.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample70.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	80	valid
17.0ms	277×	body	80	invalid

simplify214.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (211.0ms)

Iter	Nodes	Cost
0	5068	19

prune12.0ms (0.1%)

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

Merged error: 5.1b

Counts

2 → 1

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 a (*.f64 b c))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
6.8b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
11×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-sub_binary64`
2×	`diff-log_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 68

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
3.0ms	(+.f64 a (*.f64 b c))

series405.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

360.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
23.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
15.0ms	(.f64 (+.f64 a (.f64 b c)) c)
8.0ms	(+.f64 a (*.f64 b c))

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5100	1169

prune151.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0.8b

Counts

81 → 9

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0b	(+.f64 a (*.f64 b c))
5.6b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-*l/_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

series438.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

394.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
24.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
12.0ms	(+.f64 (.f64 x y) (.f64 z t))
8.0ms	(+.f64 a (*.f64 b c))

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5322	1119

prune122.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0.8b

Counts

80 → 8

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 i)
0.6b	(cbrt.f64 i)
2.3b	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
4.7b	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`pow1_binary64` `add-exp-log_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `associate-l_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
12.0ms	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))
1.0ms	(cbrt.f64 i)
1.0ms	(cbrt.f64 i)

series136.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))
26.0ms	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
21.0ms	(cbrt.f64 i)
20.0ms	(cbrt.f64 i)

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5187	797

prune133.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	90	8	98

Merged error: 0.8b

Counts

98 → 8

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 c (+.f64 a (.f64 b c)))
0.2b	(pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3)
6.8b	(.f64 (.f64 c (+.f64 a (*.f64 b c))) i)
31.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-*r/_binary64` `cbrt-prod_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64` `associate-*l/_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-l_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3)
8.0ms	(.f64 (.f64 c (+.f64 a (*.f64 b c))) i)
6.0ms	(.f64 c (+.f64 a (.f64 b c)))
4.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3))

series106.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3)
20.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 c (+.f64 a (*.f64 b c))) i) 3))
18.0ms	(.f64 (.f64 c (+.f64 a (*.f64 b c))) i)
13.0ms	(.f64 c (+.f64 a (.f64 b c)))

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5686	1111

prune120.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	100	8	108

Merged error: 0.8b

Counts

108 → 8

regimes2.0s (25.7%)

Accuracy

Total 0.9b remaining (52.6%)

Threshold costs 0.9b (52.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	94	19
1	94	19

end0.0ms (0%)

sample1.7s (21.2%)

Algorithm

1×

intervals

Results

525.0ms	8000×	body	80	valid
454.0ms	7025×	body	80	invalid

Details

analyze1.9s (24.6%)

sample70.0ms (0.9%)

simplify214.0ms (2.7%)

prune12.0ms (0.1%)

localize18.0ms (0.2%)

rewrite28.0ms (0.4%)

series405.0ms (5.2%)

simplify28.0ms (0.4%)

prune151.0ms (1.9%)

localize14.0ms (0.2%)

rewrite26.0ms (0.3%)

series438.0ms (5.6%)

simplify27.0ms (0.3%)

prune122.0ms (1.6%)

localize18.0ms (0.2%)

rewrite34.0ms (0.4%)

series136.0ms (1.7%)

simplify43.0ms (0.6%)

prune133.0ms (1.7%)

localize17.0ms (0.2%)

rewrite28.0ms (0.4%)

series106.0ms (1.4%)

simplify31.0ms (0.4%)

prune120.0ms (1.5%)

regimes2.0s (25.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (21.2%)

Profiling