Details

analyze867.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample297.0ms

Algorithm

intervals

Results

209.0ms	162×	body	5120	exit
30.0ms	69×	body	1280	nan
17.0ms	61×	body	640	nan
16.0ms	256×	body	80	valid
6.0ms	35×	body	320	nan
1.0ms	13×	body	160	nan
0.0ms	6×	body	80	overflowed
0.0ms	6×	body	80	nan
0.0ms	2×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.2b	(pow.f64 l (exp.f64 w))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `neg-sub0_binary64` `pow-pow_binary64` `exp-diff_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series33.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
13.0ms	(pow.f64 l (exp.f64 w))

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4937	433
1	4937	433

prune49.0ms

Filtered

34 candidates to 50 candidates (-47.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.1b

Counts

51 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.2b	(pow.f64 l (exp.f64 w))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-div_binary64`
34×	`neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64`
32×	`frac-times_binary64`
31×	`add-exp-log_binary64`
28×	`associate-*r/_binary64`
23×	`add-sqr-sqrt_binary64`
19×	`prod-exp_binary64` `cbrt-prod_binary64`
17×	`pow1_binary64`
16×	`associate-*l/_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64`
7×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
6×	`swap-sqr_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64` `pow-exp_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-pow_binary64` `sqr-pow_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 128

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
14.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
10.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

series64.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
20.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
18.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
13.0ms	(pow.f64 l (exp.f64 w))

simplify62.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5017	1246

prune86.0ms

Filtered

69 candidates to 140 candidates (-102.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	139	5	144

Merged error: 0.1b

Counts

144 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
0.2b	(pow.f64 l (exp.f64 w))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
22×	`cbrt-div_binary64`
14×	`associate-*r/_binary64`
12×	`add-cbrt-cube_binary64`
9×	`pow-to-exp_binary64` `pow-exp_binary64`
8×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `neg-sub0_binary64` `add-cube-cbrt_binary64` `exp-diff_binary64` `add-sqr-sqrt_binary64` `exp-neg_binary64`
7×	`pow1_binary64`
6×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow1/3_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r_binary64` `pow-pow_binary64` `sqr-pow_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
16.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
3.0ms	(pow.f64 l (exp.f64 w))

series59.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
13.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
21.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w))))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
13.0ms	(pow.f64 l (exp.f64 w))

simplify117.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5072	801

prune72.0ms

Filtered

52 candidates to 94 candidates (-80.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 0.1b

Counts

99 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
0.2b	(pow.f64 l (exp.f64 w))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `pow-pow_binary64`
2×	`pow-to-exp_binary64` `neg-sub0_binary64` `sqr-pow_binary64` `exp-diff_binary64` `exp-neg_binary64` `pow-exp_binary64`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
3.0ms	(pow.f64 l (exp.f64 w))

series57.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
12.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
19.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (neg.f64 w)))) 4)
12.0ms	(pow.f64 l (exp.f64 w))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4910	586
1	4910	586

prune70.0ms

Filtered

57 candidates to 79 candidates (-38.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.1b

Counts

84 → 5

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample8.6s

Algorithm

intervals

Results

6.0s	4580×	body	5120	exit
1.0s	2290×	body	1280	nan
533.0ms	1920×	body	640	nan
507.0ms	8000×	body	80	valid
174.0ms	950×	body	320	nan
31.0ms	303×	body	160	nan
10.0ms	230×	body	80	nan
9.0ms	121×	body	80	overflowed
8.0ms	125×	body	80	invalid
4.0ms	2×	body	5120	nan
1.0ms	1×	body	2560	nan

Details

analyze867.0ms

sample297.0ms

simplify85.0ms

prune8.0ms

localize7.0ms

rewrite12.0ms

series33.0ms

simplify50.0ms

prune49.0ms

localize10.0ms

rewrite35.0ms

series64.0ms

simplify62.0ms

prune86.0ms

localize16.0ms

rewrite28.0ms

series59.0ms

simplify117.0ms

prune72.0ms

localize13.0ms

rewrite15.0ms

series57.0ms

simplify52.0ms

prune70.0ms

regimes83.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.6s

Profiling