Details

analyze285.0ms

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

12.0ms	256×	body	80	valid
1.0ms	25×	body	80	nan
1.0ms	12×	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

prune9.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

5.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
9.0ms	(*.f64 y (sqrt.f64 z))

series27.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
13.0ms	(*.f64 y (sqrt.f64 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4969	299
1	4969	299

prune79.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite23.0ms

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)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune88.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0b

Counts

106 → 8

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))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

rewrite27.0ms

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:

6.0ms	(+.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))

series49.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
10.0ms	(sqrt.f64 (sqrt.f64 z))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
15.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4932	827
1	4932	827

prune89.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0b

Counts

100 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod_binary64`
21×	`associate-r_binary64`
18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series103.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
31.0ms	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
14.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5230	957

prune67.0ms

Filtered

57 candidates to 88 candidates (-54.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 0b

Counts

96 → 7

regimes327.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample536.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
34.0ms	1032×	body	80	nan
16.0ms	371×	body	80	invalid

Details

analyze285.0ms

sample25.0ms

simplify6.0ms

prune9.0ms

localize10.0ms

rewrite16.0ms

series27.0ms

simplify67.0ms

prune79.0ms

localize8.0ms

rewrite23.0ms

series38.0ms

simplify53.0ms

prune88.0ms

localize14.0ms

rewrite27.0ms

series49.0ms

simplify52.0ms

prune89.0ms

localize15.0ms

rewrite30.0ms

series103.0ms

simplify52.0ms

prune67.0ms

regimes327.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample536.0ms

Profiling