Details

analyze178.0ms

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

sample22.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	35×	body	80	nan
0.0ms	10×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	28	8
1	28	8

prune8.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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)))
6.0ms	(*.f64 y (sqrt.f64 z))

series19.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
10.0ms	(*.f64 y (sqrt.f64 z))

simplify60.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4969	299
1	4969	299

prune44.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 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))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite29.0ms

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))
14.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify69.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune52.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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)))
8.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series65.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))
24.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
15.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify68.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5566	512

prune50.0ms

Filtered

55 candidates to 76 candidates (-38.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	9	84

Merged error: 0b

Counts

84 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series69.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
16.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune54.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 0b

Counts

94 → 9

regimes283.0ms

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	11	8
1	11	8

end0.0ms

sample543.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
33.0ms	1014×	body	80	nan
15.0ms	413×	body	80	invalid

Details

analyze178.0ms

sample22.0ms

simplify8.0ms

prune8.0ms

localize7.0ms

rewrite11.0ms

series19.0ms

simplify60.0ms

prune44.0ms

localize9.0ms

rewrite29.0ms

series42.0ms

simplify69.0ms

prune52.0ms

localize11.0ms

rewrite17.0ms

series65.0ms

simplify68.0ms

prune50.0ms

localize11.0ms

rewrite13.0ms

series69.0ms

simplify64.0ms

prune54.0ms

regimes283.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample543.0ms

Profiling