Details

analyze155.0ms

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	38×	body	80	nan
1.0ms	15×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune6.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.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))

simplify49.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	172
1	4978	172

prune34.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0.0b

Counts

26 → 4

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)))

rewrite24.0ms

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:

12.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune92.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (/.f64 1 z) -1/4)
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))) (pow.f64 (/.f64 1 z) -1/4))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
22×	`sqrt-prod_binary64`
19×	`prod-exp_binary64`
18×	`times-frac_binary64`
12×	`pow-exp_binary64`
11×	`add-cbrt-cube_binary64`
10×	`pow1_binary64`
6×	`div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `1-exp_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rec-exp_binary64`
2×	`pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 117

Calls

4 calls:

5.0ms	(pow.f64 (/.f64 1 z) -1/4)
2.0ms	(sqrt.f64 (sqrt.f64 z))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
19.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 (/.f64 1 z) -1/4))

series59.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow.f64 (/.f64 1 z) -1/4)
12.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
16.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 (/.f64 1 z) -1/4))

simplify40.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5112	1052

prune110.0ms

Filtered

73 candidates to 129 candidates (-76.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Merged error: 0b

Counts

136 → 7

localize14.0ms

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

rewrite26.0ms

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))))
7.0ms	(.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))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
22.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (fabs.f64 (cbrt.f64 (sqrt.f64 z))))
14.0ms	(cbrt.f64 (sqrt.f64 z))
18.0ms	(cbrt.f64 (sqrt.f64 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5144	993

prune71.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0b

Counts

95 → 7

regimes399.0ms

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

sample527.0ms

Algorithm

intervals

Results

286.0ms	8000×	body	80	valid
34.0ms	1076×	body	80	nan
17.0ms	428×	body	80	invalid

Details

analyze155.0ms

sample20.0ms

simplify7.0ms

prune6.0ms

localize7.0ms

rewrite6.0ms

series9.0ms

simplify49.0ms

prune34.0ms

localize9.0ms

rewrite24.0ms

series45.0ms

simplify54.0ms

prune92.0ms

localize16.0ms

rewrite42.0ms

series59.0ms

simplify40.0ms

prune110.0ms

localize14.0ms

rewrite26.0ms

series80.0ms

simplify34.0ms

prune71.0ms

regimes399.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample527.0ms

Profiling