Details

analyze172.0ms

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	35×	body	128	nan
0.0ms	8×	body	128	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	12
1	28	12

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
5.0ms	(*.f64 y (sqrt.f64 z))

series115.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
52.0ms	(*.f64 y (sqrt.f64 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4956	474
1	4956	474

prune36.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sqrt.f64 (sqrt.f64 z))
105.0ms	(sqrt.f64 (sqrt.f64 z))
74.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4914	1032
1	4914	1032

prune62.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0b

Counts

107 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (fabs.f64 (cbrt.f64 z)))
0.3b	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
6×	`sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 64

Calls

4 calls:

4.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))
11.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series493.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))
148.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
158.0ms	(cbrt.f64 z)
158.0ms	(cbrt.f64 z)

simplify48.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5072	847

prune57.0ms

Filtered

55 candidates to 76 candidates (-38.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	76	9	85

Merged error: 0b

Counts

85 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z))))
0.6b	(cbrt.f64 (sqrt.f64 z))
0.6b	(cbrt.f64 (sqrt.f64 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64` `cbrt-prod_binary64`
15×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

13.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z))))
2.0ms	(cbrt.f64 (sqrt.f64 z))
2.0ms	(cbrt.f64 (sqrt.f64 z))

series472.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
106.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z))))
101.0ms	(cbrt.f64 (sqrt.f64 z))
120.0ms	(cbrt.f64 (sqrt.f64 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5468	1671

prune67.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	88	9	97

Merged error: 0b

Counts

97 → 9

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms

sample527.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	128	valid
36.0ms	1045×	body	128	nan
13.0ms	382×	body	128	invalid

Details

analyze172.0ms

sample19.0ms

simplify12.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series115.0ms

simplify68.0ms

prune36.0ms

localize9.0ms

rewrite32.0ms

series327.0ms

simplify72.0ms

prune62.0ms

localize10.0ms

rewrite22.0ms

series493.0ms

simplify48.0ms

prune57.0ms

localize13.0ms

rewrite32.0ms

series472.0ms

simplify53.0ms

prune67.0ms

regimes115.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample527.0ms

Profiling