Details

analyze355.0ms

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

sample143.0ms

Algorithm

intervals

Results

60.0ms	109×	body	1280	valid
23.0ms	77×	body	640	valid
19.0ms	47×	body	1280	invalid
9.0ms	37×	body	640	invalid
8.0ms	40×	body	320	valid
5.0ms	75×	body	80	invalid
3.0ms	23×	body	160	valid
3.0ms	16×	body	320	invalid
1.0ms	10×	body	160	invalid
0.0ms	7×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4861	11
1	4861	11

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: 41.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0b	(-.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 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify53.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4895	465
1	4895	465

prune41.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.1b

Counts

44 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
0.1b	(*.f64 (pow.f64 im 3) -1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

5.0ms	(*.f64 1/60 (pow.f64 im 5))
12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
8.0ms	(*.f64 (pow.f64 im 3) -1/3)

series50.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 1/60 (pow.f64 im 5))
40.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
5.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify54.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4955	921
1	4955	921

prune81.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 0.1b

Counts

89 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (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 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
17.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
17.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
17.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite49.0ms

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 1/2 (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 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
14.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (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 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
90.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
92.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
95.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4940	2683
1	4940	2683

prune238.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
17.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
17.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite32.0ms

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 1/2 (sin.f64 re)))
7.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
21.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
90.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
90.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify74.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4899	1258
1	4899	1258

prune154.0ms

Filtered

52 candidates to 56 candidates (-7.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

regimes238.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

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	3258×	body	1280	valid
828.0ms	2542×	body	640	valid
516.0ms	1462×	body	1280	invalid
288.0ms	1230×	body	640	invalid
272.0ms	1292×	body	320	valid
150.0ms	2365×	body	80	invalid
115.0ms	663×	body	320	invalid
83.0ms	654×	body	160	valid
42.0ms	294×	body	160	invalid
16.0ms	254×	body	80	valid

Details

analyze355.0ms

sample143.0ms

simplify54.0ms

prune2.0ms

localize9.0ms

rewrite18.0ms

series20.0ms

simplify53.0ms

prune41.0ms

localize13.0ms

rewrite27.0ms

series50.0ms

simplify54.0ms

prune81.0ms

localize19.0ms

rewrite49.0ms

series413.0ms

simplify62.0ms

prune238.0ms

localize22.0ms

rewrite32.0ms

series222.0ms

simplify74.0ms

prune154.0ms

regimes238.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.5s

Profiling