Details

analyze138.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

sample45.0ms

Algorithm

intervals

Results

11.0ms	33×	body	1280	valid
8.0ms	180×	body	80	valid
5.0ms	28×	body	640	valid
5.0ms	21×	body	1280	invalid
2.0ms	13×	body	640	invalid
2.0ms	12×	body	320	valid
1.0ms	33×	body	80	invalid
1.0ms	7×	body	320	invalid
0.0ms	3×	body	160	valid
0.0ms	2×	body	160	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`add-exp-log_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune18.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 re))
6.0ms	(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
11.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
6.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (exp.f64 re))
14.0ms	(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
17.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

simplify51.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4982	680
1	4982	680

prune42.0ms

Filtered

68 candidates to 107 candidates (-57.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(*.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im))
0.0b	(.f64 (.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
0.1b	(pow.f64 (exp.f64 re) 2/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`prod-exp_binary64`
9×	`associate-r_binary64` `add-cbrt-cube_binary64`
8×	`associate-l_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64`
6×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `exp-prod_binary64`
2×	`*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64`

Counts

4 → 78

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 re))
6.0ms	(*.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im))
8.0ms	(.f64 (.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
3.0ms	(pow.f64 (exp.f64 re) 2/3)

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (exp.f64 re))
20.0ms	(*.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im))
8.0ms	(.f64 (.f64 (pow.f64 (exp.f64 re) 2/3) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
12.0ms	(pow.f64 (exp.f64 re) 2/3)

simplify94.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4834	573
1	4834	573

prune37.0ms

Filtered

57 candidates to 90 candidates (-57.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (exp.f64 re) 2))
0.0b	(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im))
0.0b	(pow.f64 (exp.f64 re) 2)
0.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64` `associate-l_binary64`
11×	`add-exp-log_binary64`
10×	`unpow-prod-down_binary64`
9×	`associate-r_binary64`
7×	`add-cbrt-cube_binary64`
5×	`unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-exp_binary64`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt.f64 (pow.f64 (exp.f64 re) 2))
7.0ms	(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im))
3.0ms	(pow.f64 (exp.f64 re) 2)
9.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 (pow.f64 (exp.f64 re) 2))
20.0ms	(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im))
3.0ms	(pow.f64 (exp.f64 re) 2)
8.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (sin.f64 im)) (cbrt.f64 (exp.f64 re)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4939	758
1	4939	758

prune40.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

104 → 4

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

365.0ms	1013×	body	1280	valid
242.0ms	5533×	body	80	valid
164.0ms	826×	body	640	valid
137.0ms	520×	body	1280	invalid
63.0ms	373×	body	640	invalid
58.0ms	421×	body	320	valid
35.0ms	812×	body	80	invalid
26.0ms	190×	body	320	invalid
18.0ms	207×	body	160	valid
8.0ms	98×	body	160	invalid

Details

analyze138.0ms

sample45.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series8.0ms

simplify55.0ms

prune18.0ms

localize9.0ms

rewrite28.0ms

series52.0ms

simplify51.0ms

prune42.0ms

localize9.0ms

rewrite22.0ms

series52.0ms

simplify94.0ms

prune37.0ms

localize12.0ms

rewrite25.0ms

series49.0ms

simplify65.0ms

prune40.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling