Details

analyze248.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

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: 2.9b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-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×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5444	302

prune27.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 2.7b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 y z)))))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`associate-*r/_binary64`
17×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
12×	`cbrt-div_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`flip3--_binary64` `flip--_binary64`
6×	`sub-neg_binary64` `pow1/3_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 105

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 y z)))))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series580.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 y z)))))
91.0ms	(.f64 x (-.f64 1 (.f64 y z)))
84.0ms	(.f64 x (-.f64 1 (.f64 y z)))
95.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4968	1796
1	4968	1796

prune117.0ms

Filtered

79 candidates to 117 candidates (-48.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	115	10	125

Merged error: 2.7b

Counts

125 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt.f64 x)
7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 x)
90.0ms	(.f64 x (-.f64 1 (.f64 y z)))
87.0ms	(.f64 x (-.f64 1 (.f64 y z)))
294.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4928	989
1	4928	989

prune97.0ms

Filtered

65 candidates to 80 candidates (-23.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	79	11	90

Merged error: 2.7b

Counts

90 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))
1.7b	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
10×	`associate-l_binary64`
6×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `cbrt-prod_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 92

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))
8.0ms	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))
207.0ms	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
96.0ms	(.f64 x (-.f64 1 (.f64 y z)))
92.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4910	1342
1	4910	1342

prune105.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	103	12	115

Merged error: 2.7b

Counts

115 → 12

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample390.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	128	valid
17.0ms	550×	body	128	invalid

Details

analyze248.0ms

sample14.0ms

simplify20.0ms

prune1.0ms

localize7.0ms

rewrite8.0ms

series97.0ms

simplify45.0ms

prune27.0ms

localize9.0ms

rewrite37.0ms

series580.0ms

simplify49.0ms

prune117.0ms

localize13.0ms

rewrite24.0ms

series631.0ms

simplify70.0ms

prune97.0ms

localize15.0ms

rewrite47.0ms

series542.0ms

simplify71.0ms

prune105.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample390.0ms

Profiling