Details

analyze156.0ms

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	40×	body	80	nan
0.0ms	11×	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))

rewrite9.0ms

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))

series61.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
30.0ms	(*.f64 y (sqrt.f64 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	474
1	4957	474

prune31.0ms

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

localize10.0ms

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

rewrite22.0ms

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))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt.f64 (sqrt.f64 z))
57.0ms	(sqrt.f64 (sqrt.f64 z))
43.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
32.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5073	1032

prune64.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0b

Counts

107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
12×	`*-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 → 73

Calls

4 calls:

16.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series401.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
91.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
88.0ms	(cbrt.f64 z)
87.0ms	(cbrt.f64 z)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4951	1628
1	4951	1628

prune64.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0b

Counts

93 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))
0.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))
0.7b	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod_binary64`
48×	`cbrt-prod_binary64`
36×	`associate-r_binary64` `add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`pow1_binary64`
12×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
5×	`pow-pow_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow1/2_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 141

Calls

4 calls:

6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
13.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))
4.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))
6.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)

series204.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
29.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))
60.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))
74.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)

simplify95.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4913	1706
1	4913	1706

prune76.0ms

Filtered

76 candidates to 153 candidates (-101.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	153	8	161

Merged error: 0b

Counts

161 → 8

regimes103.0ms

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

sample514.0ms

Algorithm

intervals

Results

282.0ms	8000×	body	80	valid
32.0ms	1036×	body	80	nan
12.0ms	370×	body	80	invalid

Details

analyze156.0ms

sample18.0ms

simplify12.0ms

prune3.0ms

localize6.0ms

rewrite9.0ms

series61.0ms

simplify67.0ms

prune31.0ms

localize10.0ms

rewrite22.0ms

series185.0ms

simplify68.0ms

prune64.0ms

localize15.0ms

rewrite32.0ms

series401.0ms

simplify72.0ms

prune64.0ms

localize11.0ms

rewrite35.0ms

series204.0ms

simplify95.0ms

prune76.0ms

regimes103.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample514.0ms

Profiling