Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	266×	body	80	valid
10.0ms	282×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series71.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
40.0ms	(* y (sqrt z))

simplify118.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune83.0ms

Filtered

39 candidates to 28 candidates (71.8%)

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (sqrt z))
130.0ms	(sqrt (sqrt z))
78.0ms	(* y (sqrt (sqrt z)))
43.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune237.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Merged error: 0.0b

Counts

107 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 64

Calls

4 calls:

3.0ms	(* (fabs (cbrt z)) y)
7.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series523.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (fabs (cbrt z)) y)
130.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
188.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify95.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	210	392
1	952	345
2	3745	339
3	5001	334

prune176.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
4.3b	(cbrt (* y (sqrt z)))
4.3b	(cbrt (* y (sqrt z)))
4.3b	(cbrt (* y (sqrt z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
3.0ms	(cbrt (* y (sqrt z)))
3.0ms	(cbrt (* y (sqrt z)))
3.0ms	(cbrt (* y (sqrt z)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
132.0ms	(cbrt (* y (sqrt z)))
125.0ms	(cbrt (* y (sqrt z)))
130.0ms	(cbrt (* y (sqrt z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	217	499
1	744	436
2	3694	400
3	5001	394

prune173.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

regimes218.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample993.0ms

Algorithm

intervals

Results

330.0ms	8553×	body	80	valid
304.0ms	8490×	body	80	nan

Details

sample35.0ms

simplify15.0ms

prune2.0ms

localize11.0ms

rewrite8.0ms

series71.0ms

simplify118.0ms

prune83.0ms

localize10.0ms

rewrite22.0ms

series380.0ms

simplify43.0ms

prune237.0ms

localize11.0ms

rewrite15.0ms

series523.0ms

simplify95.0ms

prune176.0ms

localize12.0ms

rewrite17.0ms

series516.0ms

simplify106.0ms

prune173.0ms

regimes218.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample993.0ms

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