Details

analyze372.0ms

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

sample35.0ms

Algorithm

intervals

Results

15.0ms	90×	body	1280	valid
5.0ms	47×	body	640	valid
2.0ms	74×	body	80	valid
2.0ms	11×	body	2560	valid
2.0ms	18×	body	320	valid
1.0ms	16×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	505	17
1	505	17

prune2.0ms

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: 43.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (+.f64 (*.f64 x y) z))
8.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64`
6×	`sum-log_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`diff-log_binary64`
2×	`pow1_binary64` `distribute-lft-out_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` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))
8.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))
37.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4996	710
1	4996	710

prune35.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Merged error: 42.7b

Counts

38 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
30.8b	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`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` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
3.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
113.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
112.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
43.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))

simplify102.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4889	1362
1	4889	1362

prune119.0ms

Filtered

56 candidates to 65 candidates (-16.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	52	13	65
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	52	22	74

Merged error: 42.5b

Counts

74 → 22

localize17.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
30.9b	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`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` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
7.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
3.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
112.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
114.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
52.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4949	1362
1	4949	1362

prune157.0ms

Filtered

55 candidates to 65 candidates (-18.2%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	54	11	65
Fresh	4	15	19
Picked	1	0	1
Done	0	2	2
Total	59	28	87

Merged error: 42.5b

Counts

87 → 28

localize21.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
6.3b	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
28.7b	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`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` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
3.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
113.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
111.0ms	(cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))
63.0ms	(-.f64 (fma.f64 x y z) (.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (.f64 x y)))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 z (*.f64 x y))))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4884	1323
1	4884	1323

prune129.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	4	21	25
Picked	1	0	1
Done	0	2	2
Total	67	26	93

Merged error: 42.4b

Counts

93 → 26

regimes261.0ms

Accuracy

0% (0.7b remaining)

Error of 44.7b against oracle of 44.0b and baseline of 44.7b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	17
1	96	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

385.0ms	2579×	body	1280	valid
193.0ms	1612×	body	640	valid
105.0ms	589×	body	2560	valid
71.0ms	2163×	body	80	valid
64.0ms	730×	body	320	valid
20.0ms	327×	body	160	valid

Details

analyze372.0ms

sample35.0ms

simplify35.0ms

prune2.0ms

localize8.0ms

rewrite15.0ms

series58.0ms

simplify69.0ms

prune35.0ms

localize14.0ms

rewrite18.0ms

series387.0ms

simplify102.0ms

prune119.0ms

localize17.0ms

rewrite21.0ms

series396.0ms

simplify86.0ms

prune157.0ms

localize21.0ms

rewrite19.0ms

series399.0ms

simplify107.0ms

prune129.0ms

regimes261.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.0s

Profiling