Details

analyze275.0ms

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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune3.0ms

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: 2.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 y) z)
2.4b	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 44

Calls

2 calls:

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (-.f64 1.0 y) z)
13.0ms	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4969	430
1	4969	430

prune69.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	9	51

Merged error: 2.4b

Counts

51 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

2.4b	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

series88.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
21.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
21.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
25.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4924	769
1	4924	769

prune111.0ms

Filtered

57 candidates to 67 candidates (-17.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	66	10	76

Merged error: 2.4b

Counts

76 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.9b	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
24.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
22.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
22.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4965	1358
1	4965	1358

prune144.0ms

Filtered

68 candidates to 78 candidates (-14.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	78	10	88

Merged error: 2.4b

Counts

88 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
32×	`associate-*l/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-*r/_binary64`
7×	`add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
21.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
24.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
22.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4962	2580
1	4962	2580

prune137.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	5	6
Picked	1	0	1
Done	0	3	3
Total	101	10	111

Merged error: 2.4b

Counts

111 → 10

regimes466.0ms

Accuracy

0% (0.2b remaining)

Error of 3.7b against oracle of 3.5b and baseline of 3.7b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	203	9
1	203	9

end0.0ms

sample420.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
17.0ms	653×	body	80	invalid

Details

analyze275.0ms

sample16.0ms

simplify35.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series19.0ms

simplify41.0ms

prune69.0ms

localize10.0ms

rewrite22.0ms

series88.0ms

simplify70.0ms

prune111.0ms

localize10.0ms

rewrite22.0ms

series127.0ms

simplify52.0ms

prune144.0ms

localize9.0ms

rewrite27.0ms

series81.0ms

simplify63.0ms

prune137.0ms

regimes466.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample420.0ms

Profiling