Details

analyze340.0ms

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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample145.0ms

Algorithm

intervals

Results

60.0ms	103×	body	1280	valid
26.0ms	84×	body	640	valid
17.0ms	49×	body	1280	invalid
8.0ms	36×	body	640	invalid
7.0ms	37×	body	320	valid
5.0ms	82×	body	80	invalid
3.0ms	24×	body	160	valid
3.0ms	17×	body	320	invalid
2.0ms	14×	body	160	invalid
1.0ms	8×	body	80	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

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: 44.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.9b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series26.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5022	469

prune60.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
0.0b	(*.f64 1/60 (pow.f64 im 5))
0.2b	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
0.2b	(*.f64 (pow.f64 im 3) -1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `prod-exp_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

5.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
12.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)

series78.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
7.0ms	(*.f64 1/60 (pow.f64 im 5))
48.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4985	1141
1	4985	1141

prune139.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.1b

Counts

105 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
13.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
13.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
13.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
101.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
101.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
104.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify83.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4919	2673
1	4919	2673

prune299.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	15	93

Merged error: 0.0b

Counts

93 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (*.f64 0.5 (sin.f64 re)))
0.7b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
13.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
13.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div_binary64` `cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 44

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 0.5 (sin.f64 re)))
9.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (*.f64 0.5 (sin.f64 re)))
25.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
104.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
103.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify78.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4900	1293
1	4900	1293

prune179.0ms

Filtered

50 candidates to 56 candidates (-12.0%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	2	10	12
Picked	1	0	1
Done	0	2	2
Total	55	16	71

Merged error: 0.0b

Counts

71 → 16

regimes405.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	3300×	body	1280	valid
787.0ms	2486×	body	640	valid
515.0ms	1455×	body	1280	invalid
303.0ms	1268×	body	640	invalid
268.0ms	1322×	body	320	valid
147.0ms	2393×	body	80	invalid
106.0ms	626×	body	320	invalid
80.0ms	635×	body	160	valid
38.0ms	290×	body	160	invalid
17.0ms	257×	body	80	valid

Details

analyze340.0ms

sample145.0ms

simplify56.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series26.0ms

simplify40.0ms

prune60.0ms

localize15.0ms

rewrite32.0ms

series78.0ms

simplify47.0ms

prune139.0ms

localize21.0ms

rewrite44.0ms

series465.0ms

simplify83.0ms

prune299.0ms

localize24.0ms

rewrite35.0ms

series256.0ms

simplify78.0ms

prune179.0ms

regimes405.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.5s

Profiling