Details

analyze162.0ms

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

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	42×	body	80	nan
1.0ms	15×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 y (sqrt.f64 z))

simplify48.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4978	172
1	4978	172

prune46.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite23.0ms

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)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(sqrt.f64 (sqrt.f64 z))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune95.0ms

Filtered

57 candidates to 100 candidates (-75.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod_binary64`
18×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unpow-prod-down_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sqrt.f64 (sqrt.f64 z))
6.0ms	(*.f64 y (pow.f64 z 1/4))
9.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt.f64 (sqrt.f64 z))
13.0ms	(*.f64 y (pow.f64 z 1/4))
15.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

simplify30.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5025	609

prune78.0ms

Filtered

48 candidates to 78 candidates (-62.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series103.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
41.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
16.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	955
1	4959	955

prune65.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes426.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms

sample533.0ms

Algorithm

intervals

Results

296.0ms	8000×	body	80	valid
40.0ms	1043×	body	80	nan
13.0ms	378×	body	80	invalid

Details

analyze162.0ms

sample20.0ms

simplify6.0ms

prune3.0ms

localize10.0ms

rewrite6.0ms

series9.0ms

simplify48.0ms

prune46.0ms

localize9.0ms

rewrite23.0ms

series45.0ms

simplify52.0ms

prune95.0ms

localize14.0ms

rewrite18.0ms

series39.0ms

simplify30.0ms

prune78.0ms

localize15.0ms

rewrite27.0ms

series103.0ms

simplify52.0ms

prune65.0ms

regimes426.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample533.0ms

Profiling