Details

analyze271.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 y z) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 y z) z)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 (*.f64 y z) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5058	177

prune144.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
21.9b	(cbrt.f64 (.f64 z (.f64 y z)))
21.9b	(cbrt.f64 (.f64 z (.f64 y z)))
21.9b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
75.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
81.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
83.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4899	738
1	4899	738

prune51.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
9.9b	(cbrt.f64 (*.f64 z y))
21.9b	(cbrt.f64 (.f64 z (.f64 z y)))
21.9b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (*.f64 z y))
4.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 z)
59.0ms	(cbrt.f64 (*.f64 z y))
75.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
80.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5411	433

prune43.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
9.9b	(cbrt.f64 (*.f64 z y))
9.9b	(cbrt.f64 (*.f64 z y))
21.9b	(cbrt.f64 (.f64 z (.f64 z y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (*.f64 z y))
2.0ms	(cbrt.f64 (*.f64 z y))
4.0ms	(cbrt.f64 (.f64 z (.f64 z y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 z)
58.0ms	(cbrt.f64 (*.f64 z y))
62.0ms	(cbrt.f64 (*.f64 z y))
81.0ms	(cbrt.f64 (.f64 z (.f64 z y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5411	395

prune33.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

regimes75.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample403.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
18.0ms	702×	body	80	invalid

Details

analyze271.0ms

sample16.0ms

simplify11.0ms

prune2.0ms

localize5.0ms

rewrite5.0ms

series26.0ms

simplify63.0ms

prune144.0ms

localize10.0ms

rewrite18.0ms

series341.0ms

simplify76.0ms

prune51.0ms

localize16.0ms

rewrite11.0ms

series301.0ms

simplify84.0ms

prune43.0ms

localize15.0ms

rewrite10.0ms

series288.0ms

simplify83.0ms

prune33.0ms

regimes75.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample403.0ms

Profiling