Details

analyze379.0ms

Algorithm

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

sample37.0ms

Algorithm

intervals

Results

14.0ms	98×	body	1280	valid
6.0ms	48×	body	640	valid
3.0ms	19×	body	2560	valid
2.0ms	24×	body	320	valid
2.0ms	61×	body	80	valid
0.0ms	6×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	503	12
1	503	12

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 47.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
9.9b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite14.0ms

Algorithm

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:

4.0ms	(+.f64 (*.f64 x y) z)
9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x y) z)
12.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5067	438

prune20.0ms

Filtered

23 candidates to 34 candidates (-47.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 8.3b

Counts

35 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 z (*.f64 x y))
7.7b	(-.f64 (fma.f64 x y z) (+.f64 z (*.f64 x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 z (*.f64 x y))
9.0ms	(-.f64 (fma.f64 x y z) (+.f64 z (*.f64 x y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5066	364

prune22.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	32	3	35

Merged error: 8.0b

Counts

35 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
41.5b	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series94.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
27.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
31.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

simplify29.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4942	710
1	4942	710

prune40.0ms

Filtered

55 candidates to 62 candidates (-12.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	63	2	65

Merged error: 7.8b

Counts

65 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
40.6b	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
27.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
27.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
12.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

simplify34.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5012	1027

prune43.0ms

Filtered

55 candidates to 62 candidates (-12.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	62	2	64

Merged error: 7.8b

Counts

64 → 2

regimes85.0ms

Accuracy

0% (0.0b remaining)

Error of 8.4b against oracle of 8.4b and baseline of 8.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	14
1	59	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

408.0ms	2657×	body	1280	valid
193.0ms	1622×	body	640	valid
116.0ms	635×	body	2560	valid
70.0ms	2021×	body	80	valid
69.0ms	742×	body	320	valid
22.0ms	323×	body	160	valid

Details

analyze379.0ms

sample37.0ms

simplify21.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series18.0ms

simplify43.0ms

prune20.0ms

localize10.0ms

rewrite10.0ms

series15.0ms

simplify37.0ms

prune22.0ms

localize14.0ms

rewrite13.0ms

series94.0ms

simplify29.0ms

prune40.0ms

localize20.0ms

rewrite14.0ms

series93.0ms

simplify34.0ms

prune43.0ms

regimes85.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling