Details

analyze270.0ms

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

sample59.0ms

Algorithm

intervals

Results

23.0ms	50×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	139×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune6.0ms

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 3 expressions with local error:

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

rewrite15.0ms

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

series30.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5163	392

prune81.0ms

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

localize13.0ms

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

series63.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
14.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5054	469

prune98.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	82	12	94

Merged error: 0.0b

Counts

94 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

8.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
7.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
14.0ms	(cbrt.f64 (cos.f64 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4852	621
1	4852	621

prune114.0ms

Filtered

63 candidates to 102 candidates (-61.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	100	14	114

Merged error: 0.0b

Counts

114 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`log-pow_binary64`
12×	`exp-prod_binary64`
11×	`add-cbrt-cube_binary64` `prod-exp_binary64`
10×	`associate-r_binary64`
9×	`pow1_binary64` `log-prod_binary64` `cbrt-prod_binary64`
5×	`cbrt-unprod_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
1×	`pow-prod-down_binary64` `unpow2_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `associate-l_binary64` `unpow1/3_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
13.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
7.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
3.0ms	(pow.f64 (cos.f64 y) 2)
14.0ms	(cbrt.f64 (cos.f64 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4824	575
1	4824	575

prune72.0ms

Filtered

61 candidates to 94 candidates (-54.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	94	14	108

Merged error: 0.0b

Counts

108 → 14

regimes259.0ms

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

674.0ms	1452×	body	1280	valid
393.0ms	1297×	body	640	valid
281.0ms	4296×	body	80	valid
125.0ms	638×	body	320	valid
43.0ms	317×	body	160	valid

Details

analyze270.0ms

sample59.0ms

simplify5.0ms

prune6.0ms

localize10.0ms

rewrite15.0ms

series30.0ms

simplify69.0ms

prune81.0ms

localize13.0ms

rewrite13.0ms

series63.0ms

simplify53.0ms

prune98.0ms

localize17.0ms

rewrite27.0ms

series45.0ms

simplify67.0ms

prune114.0ms

localize19.0ms

rewrite23.0ms

series38.0ms

simplify78.0ms

prune72.0ms

regimes259.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling