Details

analyze381.0ms

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample47.0ms

Algorithm

intervals

Results

15.0ms	34×	body	1280	valid
11.0ms	179×	body	80	valid
7.0ms	26×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	9
1	19	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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+.f64 x (sin.f64 y))
7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.0ms	(*.f64 z (cos.f64 y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 x (sin.f64 y))
14.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	(*.f64 z (cos.f64 y))

simplify75.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5008	398

prune35.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize14.0ms

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))

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 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
4.0ms	(cbrt.f64 (cos.f64 y))

series69.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5054	469

prune43.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
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))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod_binary64`
56×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`sqrt-prod_binary64`
18×	`pow1_binary64`
17×	`swap-sqr_binary64`
15×	`associate-r_binary64` `associate-l_binary64`
14×	`pow1/3_binary64`
13×	`unswap-sqr_binary64`
8×	`add-exp-log_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `add-cbrt-cube_binary64` `pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
9.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series70.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
23.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
16.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5205	927

prune55.0ms

Filtered

80 candidates to 130 candidates (-62.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	130	5	135

Merged error: 0.0b

Counts

135 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))
0.2b	(pow.f64 (+.f64 x (sin.f64 y)) 3)
26.8b	(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
4×	`distribute-lft-out_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-r_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
5.0ms	(*.f64 z (cos.f64 y))
5.0ms	(pow.f64 (+.f64 x (sin.f64 y)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))

series36.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
7.0ms	(*.f64 z (cos.f64 y))
10.0ms	(pow.f64 (+.f64 x (sin.f64 y)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))

simplify78.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4946	759
1	4946	759

prune36.0ms

Filtered

54 candidates to 93 candidates (-72.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

449.0ms	955×	body	1280	valid
371.0ms	5594×	body	80	valid
226.0ms	798×	body	640	valid
83.0ms	431×	body	320	valid
30.0ms	222×	body	160	valid

Details

analyze381.0ms

sample47.0ms

simplify6.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series33.0ms

simplify75.0ms

prune35.0ms

localize14.0ms

rewrite17.0ms

series69.0ms

simplify66.0ms

prune43.0ms

localize18.0ms

rewrite27.0ms

series70.0ms

simplify78.0ms

prune55.0ms

localize14.0ms

rewrite30.0ms

series36.0ms

simplify78.0ms

prune36.0ms

regimes157.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling