Details

analyze275.0ms

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample47.0ms

Algorithm

intervals

Results

16.0ms	35×	body	1280	valid
10.0ms	176×	body	80	valid
7.0ms	26×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	11×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 x (cos.f64 y))
8.0ms	(*.f64 z (sin.f64 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5069	209

prune46.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

rewrite12.0ms

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:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

series62.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)
17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune82.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
9×	`pow1/3_binary64` `unpow-prod-down_binary64`
7×	`add-exp-log_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `pow-sqr_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
5.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

series102.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
23.0ms	(cbrt.f64 (cbrt.f64 z))
26.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
35.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5131	550

prune93.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (cos.f64 y))
0.1b	(*.f64 (sin.f64 y) (sqrt.f64 z))
0.1b	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 55

Calls

3 calls:

4.0ms	(+.f64 x (cos.f64 y))
6.0ms	(*.f64 (sin.f64 y) (sqrt.f64 z))
8.0ms	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 x (cos.f64 y))
11.0ms	(*.f64 (sin.f64 y) (sqrt.f64 z))
10.0ms	(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5050	457

prune48.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

regimes227.0ms

Accuracy

0% (0.0b 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	36	9
1	36	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

467.0ms	965×	body	1280	valid
358.0ms	5617×	body	80	valid
247.0ms	849×	body	640	valid
73.0ms	370×	body	320	valid
27.0ms	199×	body	160	valid

Details

analyze275.0ms

sample47.0ms

simplify13.0ms

prune3.0ms

localize9.0ms

rewrite13.0ms

series14.0ms

simplify64.0ms

prune46.0ms

localize14.0ms

rewrite12.0ms

series62.0ms

simplify46.0ms

prune82.0ms

localize19.0ms

rewrite21.0ms

series102.0ms

simplify54.0ms

prune93.0ms

localize11.0ms

rewrite19.0ms

series25.0ms

simplify41.0ms

prune48.0ms

regimes227.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling