Details

analyze59.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) y)

rewrite6.0ms

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 x y) y)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(*.f64 (*.f64 x y) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5055	177

prune16.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.1b

Counts

22 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
16.8b	(cbrt.f64 (.f64 y (.f64 x y)))
16.8b	(cbrt.f64 (.f64 y (.f64 x y)))
16.8b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite23.0ms

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 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
138.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
145.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
150.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4853	738
1	4853	738

prune52.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.8b	(cbrt.f64 (*.f64 x y))
16.8b	(cbrt.f64 (.f64 y (.f64 x y)))
16.8b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite15.0ms

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 y)
2.0ms	(cbrt.f64 (*.f64 x y))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 y)
105.0ms	(cbrt.f64 (*.f64 x y))
135.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
134.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5691	433

prune46.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.8b	(cbrt.f64 (*.f64 y x))
9.8b	(cbrt.f64 (*.f64 x y))
16.8b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite14.0ms

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 y)
3.0ms	(cbrt.f64 (*.f64 y x))
2.0ms	(cbrt.f64 (*.f64 x y))
4.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 y)
112.0ms	(cbrt.f64 (*.f64 y x))
105.0ms	(cbrt.f64 (*.f64 x y))
140.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5691	395

prune32.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	49	11	60

Merged error: 0.0b

Counts

60 → 11

regimes66.0ms

Accuracy

0% (0.1b 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 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample280.0ms

Algorithm

intervals

Results

141.0ms	8000×	body	128	valid
3.0ms	182×	body	128	invalid

Details

analyze59.0ms

sample11.0ms

simplify8.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series49.0ms

simplify52.0ms

prune16.0ms

localize7.0ms

rewrite23.0ms

series601.0ms

simplify64.0ms

prune52.0ms

localize17.0ms

rewrite15.0ms

series534.0ms

simplify67.0ms

prune46.0ms

localize14.0ms

rewrite14.0ms

series504.0ms

simplify70.0ms

prune32.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample280.0ms

Profiling