Details

analyze289.0ms

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
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

sample61.0ms

Algorithm

intervals

Results

27.0ms	53×	body	1280	valid
11.0ms	42×	body	640	valid
9.0ms	132×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

5.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
4.0ms	(*.f64 x (sin.f64 y))
4.0ms	(*.f64 z (cos.f64 y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
36.0ms	(*.f64 x (sin.f64 y))
31.0ms	(*.f64 z (cos.f64 y))

simplify99.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5134	625

prune51.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
4.9b	(cbrt.f64 (*.f64 x (sin.f64 y)))
4.9b	(cbrt.f64 (*.f64 x (sin.f64 y)))
4.9b	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
112.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
110.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
112.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4941	706
1	4941	706

prune63.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	69	12	81

Merged error: 0.0b

Counts

81 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (sin.f64 y))
4.9b	(cbrt.f64 (*.f64 x (sin.f64 y)))
4.9b	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 (sin.f64 y))
112.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
114.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4924	459
1	4924	459

prune55.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	50	14	64

Merged error: 0.0b

Counts

64 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.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 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series337.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
80.0ms	(cbrt.f64 (sin.f64 y))
78.0ms	(cbrt.f64 (sin.f64 y))
77.0ms	(cbrt.f64 (sin.f64 y))

simplify82.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5047	797

prune56.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	8	11
Picked	1	0	1
Done	0	2	2
Total	87	12	99

Merged error: 0.0b

Counts

99 → 12

regimes76.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	21	38

end0.0ms

sample1.7s

Algorithm

intervals

Results

709.0ms	1549×	body	1280	valid
365.0ms	1283×	body	640	valid
281.0ms	4277×	body	80	valid
118.0ms	608×	body	320	valid
38.0ms	283×	body	160	valid

Details

analyze289.0ms

sample61.0ms

simplify12.0ms

prune2.0ms

localize9.0ms

rewrite14.0ms

series141.0ms

simplify99.0ms

prune51.0ms

localize13.0ms

rewrite16.0ms

series481.0ms

simplify86.0ms

prune63.0ms

localize18.0ms

rewrite9.0ms

series394.0ms

simplify89.0ms

prune55.0ms

localize16.0ms

rewrite13.0ms

series337.0ms

simplify82.0ms

prune56.0ms

regimes76.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling