Details

analyze254.0ms

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

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune4.0ms

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 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	(.f64 (.f64 y z) z)

series24.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 x (.f64 (.f64 y z) z))
8.0ms	(.f64 (.f64 y z) z)

simplify78.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune23.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize9.0ms

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))))
18.7b	(cbrt.f64 (.f64 z (.f64 y z)))
18.7b	(cbrt.f64 (.f64 z (.f64 y z)))
18.7b	(cbrt.f64 (.f64 z (.f64 y z)))

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:

9.0ms	(.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)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
19.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
19.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
21.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4888	487
1	4888	487

prune42.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt.f64 (.f64 z (.f64 z y)))
18.7b	(cbrt.f64 (.f64 z (.f64 z y)))
18.7b	(cbrt.f64 (.f64 z (.f64 y z)))
18.7b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
18.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
19.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
19.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5172	336

prune31.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 z z)))
11.6b	(.f64 y (.f64 z z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 x (.f64 y (.f64 z z)))
6.0ms	(.f64 y (.f64 z z))

series33.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 x (.f64 y (.f64 z z)))
13.0ms	(.f64 y (.f64 z z))

simplify32.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune12.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample411.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
20.0ms	745×	body	80	invalid

Details

analyze254.0ms

sample15.0ms

simplify5.0ms

prune4.0ms

localize5.0ms

rewrite12.0ms

series24.0ms

simplify78.0ms

prune23.0ms

localize9.0ms

rewrite22.0ms

series86.0ms

simplify47.0ms

prune42.0ms

localize19.0ms

rewrite18.0ms

series75.0ms

simplify51.0ms

prune31.0ms

localize5.0ms

rewrite14.0ms

series33.0ms

simplify32.0ms

prune12.0ms

regimes203.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample411.0ms

Profiling