Details

analyze395.0ms (13.2%)

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
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

sample40.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	81×	body	1280	valid
7.0ms	26×	body	2560	valid
6.0ms	47×	body	640	valid
2.0ms	25×	body	320	valid
2.0ms	64×	body	80	valid
1.0ms	13×	body	160	valid

simplify22.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	522	12
1	522	12

prune6.0ms (0.2%)

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: 45.7b

Counts

2 → 1

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.1b	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`diff-log_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 28

Calls

2 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

series20.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))
6.0ms	(+.f64 (*.f64 x y) z)

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4788	439
1	4788	439

prune62.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 45.1b

Counts

35 → 8

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
8.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.7b	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
2×	`diff-log_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 54

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series110.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
31.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
12.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4948	812
1	4948	812

prune127.0ms (4.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	57	17	74

Merged error: 45.0b

Counts

74 → 17

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) (*.f64 x y))
5.0b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
11.7b	(-.f64 (fma.f64 x y z) (+.f64 1.0 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
30.9b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))

rewrite53.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`pow1_binary64`
18×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`pow-prod-down_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`add-log-exp_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`difference-of-squares_binary64`
4×	`flip3--_binary64` `pow-prod-up_binary64` `associate-/l*_binary64` `pow-sqr_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `diff-log_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `associate-/r/_binary64` `pow-plus_binary64` `div-sub_binary64` `distribute-lft-out--_binary64`
1×	`associate-+r-_binary64` `associate--r+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

18.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
16.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))
8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))

series79.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
21.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
20.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))
8.0ms	(.f64 (.f64 x y) (*.f64 x y))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5020	1302

prune196.0ms (6.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	3	11	14
Picked	1	0	1
Done	1	1	2
Total	107	21	128

Merged error: 44.9b

Counts

128 → 21

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (-.f64 (*.f64 x y) z))
8.6b	(cbrt.f64 (-.f64 (*.f64 x y) z))
8.6b	(cbrt.f64 (-.f64 (*.f64 x y) z))
33.4b	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (/.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z)))) (/.f64 (-.f64 (.f64 x y) z) (cbrt.f64 (-.f64 (*.f64 x y) z))))))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`pow1/3_binary64`
2×	`diff-log_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64`

Counts

4 → 54

Calls

4 calls:

7.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (/.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z)))) (/.f64 (-.f64 (.f64 x y) z) (cbrt.f64 (-.f64 (*.f64 x y) z))))))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))

series122.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
36.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
35.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
13.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (.f64 (/.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z)))) (/.f64 (-.f64 (.f64 x y) z) (cbrt.f64 (-.f64 (*.f64 x y) z))))))

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5089	1061

prune81.0ms (2.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	5	14	19
Picked	0	1	1
Done	0	1	1
Total	64	23	87

Merged error: 44.8b

Counts

87 → 23

regimes370.0ms (12.3%)

Accuracy

Total 1.4b remaining (3.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	275	39
1	275	39

end0.0ms (0%)

sample1.1s (35%)

Algorithm

1×

intervals

Results

406.0ms	2645×	body	1280	valid
199.0ms	1632×	body	640	valid
107.0ms	590×	body	2560	valid
71.0ms	761×	body	320	valid
71.0ms	2039×	body	80	valid
21.0ms	333×	body	160	valid

Details

analyze395.0ms (13.2%)

sample40.0ms (1.3%)

simplify22.0ms (0.7%)

prune6.0ms (0.2%)

localize8.0ms (0.3%)

rewrite15.0ms (0.5%)

series20.0ms (0.7%)

simplify37.0ms (1.2%)

prune62.0ms (2.1%)

localize14.0ms (0.5%)

rewrite16.0ms (0.5%)

series110.0ms (3.6%)

simplify47.0ms (1.6%)

prune127.0ms (4.2%)

localize12.0ms (0.4%)

rewrite53.0ms (1.8%)

series79.0ms (2.6%)

simplify47.0ms (1.6%)

prune196.0ms (6.5%)

localize16.0ms (0.5%)

rewrite21.0ms (0.7%)

series122.0ms (4.1%)

simplify32.0ms (1.1%)

prune81.0ms (2.7%)

regimes370.0ms (12.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.1s (35%)

Profiling