Details

analyze154.0ms

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	47×	body	80	nan
1.0ms	18×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	28	8
1	28	8

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms	(*.f64 y (sqrt.f64 z))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
9.0ms	(*.f64 y (sqrt.f64 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4969	299
1	4969	299

prune43.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	9	40

Merged error: 0.0b

Counts

40 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (sqrt.f64 z))
11.0ms	(sqrt.f64 (sqrt.f64 z))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune58.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
16×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unpow-prod-down_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
5.0ms	(sqrt.f64 (sqrt.f64 z))
6.0ms	(*.f64 y (pow.f64 z 1/4))
10.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
11.0ms	(sqrt.f64 (sqrt.f64 z))
13.0ms	(*.f64 y (pow.f64 z 1/4))
15.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5033	810

prune61.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
0.5b	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
28×	`sqrt-prod_binary64`
19×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`associate-r_binary64` `associate-l_binary64` `prod-exp_binary64`
9×	`pow1_binary64` `unswap-sqr_binary64`
7×	`sqrt-pow1_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `sqr-pow_binary64`
3×	`pow1/2_binary64`
2×	`pow-to-exp_binary64` `pow-prod-up_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 88

Calls

4 calls:

4.0ms	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
2.0ms	(sqrt.f64 (sqrt.f64 z))
8.0ms	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
9.0ms	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
11.0ms	(sqrt.f64 (sqrt.f64 z))
15.0ms	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
7.0ms	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4941	1007
1	4941	1007

prune53.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

regimes281.0ms

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	11	8
1	11	8

end0.0ms

sample552.0ms

Algorithm

intervals

Results

296.0ms	8000×	body	80	valid
40.0ms	1076×	body	80	nan
15.0ms	431×	body	80	invalid

Details

analyze154.0ms

sample25.0ms

simplify6.0ms

prune6.0ms

localize6.0ms

rewrite10.0ms

series17.0ms

simplify43.0ms

prune43.0ms

localize8.0ms

rewrite25.0ms

series40.0ms

simplify57.0ms

prune58.0ms

localize14.0ms

rewrite28.0ms

series53.0ms

simplify65.0ms

prune61.0ms

localize16.0ms

rewrite26.0ms

series48.0ms

simplify57.0ms

prune53.0ms

regimes281.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample552.0ms

Profiling