Details

analyze256.0ms

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

sample52.0ms

Algorithm

intervals

Results

26.0ms	76×	body	1024	valid
9.0ms	137×	body	128	valid
7.0ms	31×	body	512	valid
2.0ms	12×	body	256	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune1.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(*.f64 z (sin.f64 y))
58.0ms	(*.f64 x (cos.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4985	341
1	4985	341

prune34.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.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))

rewrite17.0ms

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:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series663.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
122.0ms	(cbrt.f64 (sin.f64 y))
122.0ms	(cbrt.f64 (sin.f64 y))
262.0ms	(cbrt.f64 (sin.f64 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5045	797

prune62.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite15.0ms

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

series619.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)
187.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune62.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
15.9b	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
14×	`unpow-prod-down_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`prod-exp_binary64`
9×	`pow-exp_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`pow-unpow_binary64` `associate-r_binary64` `cbrt-prod_binary64`
5×	`pow-to-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`sqr-pow_binary64`
2×	`unpow2_binary64` `pow-pow_binary64` `unpow1/3_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 y) 2)
10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
5.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

series370.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow.f64 (sin.f64 y) 2)
65.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
122.0ms	(cbrt.f64 (sin.f64 y))
159.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

simplify89.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4848	970
1	4848	970

prune58.0ms

Filtered

56 candidates to 91 candidates (-62.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

regimes66.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	26
1	41	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

754.0ms	2089×	body	1024	valid
300.0ms	4367×	body	128	valid
224.0ms	1041×	body	512	valid
70.0ms	496×	body	256	valid
6.0ms	7×	body	2048	valid

Details

analyze256.0ms

sample52.0ms

simplify14.0ms

prune1.0ms

localize10.0ms

rewrite11.0ms

series110.0ms

simplify53.0ms

prune34.0ms

localize13.0ms

rewrite17.0ms

series663.0ms

simplify64.0ms

prune62.0ms

localize13.0ms

rewrite15.0ms

series619.0ms

simplify63.0ms

prune62.0ms

localize18.0ms

rewrite26.0ms

series370.0ms

simplify89.0ms

prune58.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling