Details

analyze279.0ms

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

sample59.0ms

Algorithm

intervals

Results

23.0ms	52×	body	1280	valid
12.0ms	142×	body	80	valid
9.0ms	31×	body	640	valid
5.0ms	25×	body	320	valid
1.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	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: 0.1b

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))

series35.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
8.0ms	(*.f64 x (sin.f64 y))
8.0ms	(*.f64 z (cos.f64 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5167	396

prune80.0ms

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:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

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:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
17.0ms	(cbrt.f64 (cos.f64 y))
19.0ms	(cbrt.f64 (cos.f64 y))
17.0ms	(cbrt.f64 (cos.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5054	469

prune89.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `cbrt-prod_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64`
1×	`unpow2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow1/3_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(*.f64 x (sin.f64 y))
9.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 x (sin.f64 y))
8.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
6.0ms	(pow.f64 (cos.f64 y) 2)
16.0ms	(cbrt.f64 (cos.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4828	445
1	4828	445

prune89.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 2)
16.0ms	(cbrt.f64 (cos.f64 y))
26.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4923	527
1	4923	527

prune59.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

regimes215.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	17
1	18	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

688.0ms	1531×	body	1280	valid
329.0ms	1192×	body	640	valid
287.0ms	4283×	body	80	valid
129.0ms	666×	body	320	valid
43.0ms	328×	body	160	valid

Details

analyze279.0ms

sample59.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite14.0ms

series35.0ms

simplify65.0ms

prune80.0ms

localize13.0ms

rewrite12.0ms

series78.0ms

simplify50.0ms

prune89.0ms

localize16.0ms

rewrite20.0ms

series38.0ms

simplify50.0ms

prune89.0ms

localize17.0ms

rewrite16.0ms

series54.0ms

simplify43.0ms

prune59.0ms

regimes215.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling