Details

analyze163.0ms

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

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	nan
0.0ms	10×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

prune3.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite11.0ms

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)))
5.0ms	(*.f64 y (sqrt.f64 z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
27.0ms	(*.f64 y (sqrt.f64 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	474
1	4957	474

prune36.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize9.0ms

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)))

rewrite24.0ms

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)))
11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt.f64 (sqrt.f64 z))
55.0ms	(sqrt.f64 (sqrt.f64 z))
44.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
32.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5073	1032

prune66.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_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`
3×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

series256.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
59.0ms	(sqrt.f64 (sqrt.f64 z))
45.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
60.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

simplify77.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	1333

prune68.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0b

Counts

99 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod_binary64`
33×	`associate-r_binary64`
30×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`sqrt-pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow1/2_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
17.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
14.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
54.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
36.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
45.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify85.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4930	1486
1	4930	1486

prune67.0ms

Filtered

67 candidates to 121 candidates (-80.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Merged error: 0b

Counts

128 → 7

regimes93.0ms

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	12	12
1	12	12

end0.0ms

sample554.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
36.0ms	1082×	body	80	nan
15.0ms	407×	body	80	invalid

Details

analyze163.0ms

sample18.0ms

simplify12.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series54.0ms

simplify68.0ms

prune36.0ms

localize9.0ms

rewrite24.0ms

series186.0ms

simplify73.0ms

prune66.0ms

localize14.0ms

rewrite24.0ms

series256.0ms

simplify77.0ms

prune68.0ms

localize11.0ms

rewrite46.0ms

series198.0ms

simplify85.0ms

prune67.0ms

regimes93.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample554.0ms

Profiling