Details

analyze251.0ms

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

sample55.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
9.0ms	142×	body	80	valid
7.0ms	27×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	9
1	158	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 (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite18.0ms

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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 47

Calls

3 calls:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	(*.f64 x (cos.f64 y))
8.0ms	(*.f64 z (sin.f64 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4868	397
1	4868	397

prune72.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.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))

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 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
17.0ms	(cbrt.f64 (cos.f64 y))
17.0ms	(cbrt.f64 (cos.f64 y))
17.0ms	(cbrt.f64 (cos.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5054	469

prune88.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (sin.f64 y))
8.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
17.0ms	(cbrt.f64 (cos.f64 y))
4.0ms	(pow.f64 (cos.f64 y) 2)

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4828	445
1	4828	445

prune87.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite11.0ms

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

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune66.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	82	14	96

Merged error: 0.0b

Counts

96 → 14

regimes313.0ms

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	43	17
1	43	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

698.0ms	1492×	body	1280	valid
353.0ms	1245×	body	640	valid
287.0ms	4292×	body	80	valid
124.0ms	616×	body	320	valid
48.0ms	355×	body	160	valid

Details

analyze251.0ms

sample55.0ms

simplify11.0ms

prune3.0ms

localize9.0ms

rewrite18.0ms

series34.0ms

simplify45.0ms

prune72.0ms

localize16.0ms

rewrite13.0ms

series79.0ms

simplify49.0ms

prune88.0ms

localize18.0ms

rewrite21.0ms

series37.0ms

simplify51.0ms

prune87.0ms

localize13.0ms

rewrite11.0ms

series78.0ms

simplify47.0ms

prune66.0ms

regimes313.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling