Details

analyze60.0ms

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

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	11×	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)

series50.0ms

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 (45.0ms)

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: 0.0b

Counts

22 → 5

localize8.0ms

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))))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite22.0ms

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)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
144.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
156.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
152.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4853	738
1	4853	738

prune53.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0.0b

Counts

75 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.6b	(cbrt.f64 (*.f64 y x))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))

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

series555.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt.f64 y)
118.0ms	(cbrt.f64 (*.f64 y x))
142.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
128.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5691	433

prune43.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.6b	(cbrt.f64 (*.f64 y x))
9.6b	(cbrt.f64 (*.f64 y x))
20.4b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite13.0ms

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

series487.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt.f64 y)
110.0ms	(cbrt.f64 (*.f64 y x))
106.0ms	(cbrt.f64 (*.f64 y x))
136.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5691	395

prune36.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	51	9	60

Merged error: 0.0b

Counts

60 → 9

regimes53.0ms

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

sample281.0ms

Algorithm

intervals

Results

149.0ms	8000×	body	128	valid
3.0ms	167×	body	128	invalid

Details

analyze60.0ms

sample10.0ms

simplify8.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series50.0ms

simplify52.0ms

prune16.0ms

localize8.0ms

rewrite22.0ms

series636.0ms

simplify67.0ms

prune53.0ms

localize15.0ms

rewrite15.0ms

series555.0ms

simplify64.0ms

prune43.0ms

localize13.0ms

rewrite13.0ms

series487.0ms

simplify69.0ms

prune36.0ms

regimes53.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample281.0ms

Profiling