Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

326×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	285	7
1	285	7

prune3.0ms

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: 2.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
2.5b	(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 1.0 (* y z))
5.0ms	(* x (- 1.0 (* y z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- 1.0 (* y z))
13.0ms	(* x (- 1.0 (* y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	349
1	4951	349

prune73.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Merged error: 2.5b

Counts

43 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
39.0ms	(cbrt (- 1.0 (* y z)))
38.0ms	(cbrt (- 1.0 (* y z)))
41.0ms	(cbrt (- 1.0 (* y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4957	1370
1	4957	1370

prune249.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 2.5b

Counts

108 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- 1.0 (* y z)))
41.0ms	(cbrt (- 1.0 (* y z)))
39.0ms	(cbrt (- 1.0 (* y z)))
42.0ms	(cbrt (- 1.0 (* y z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4967	820
1	4967	820

prune247.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	63	11	74

Merged error: 2.4b

Counts

74 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- 1.0 (* y z)))
38.0ms	(cbrt (- 1.0 (* y z)))
40.0ms	(cbrt (- 1.0 (* y z)))
38.0ms	(cbrt (- 1.0 (* y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4967	820
1	4967	820

prune285.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	64	11	75

Merged error: 2.4b

Counts

75 → 11

regimes467.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample563.0ms

Algorithm

intervals

Results

225.0ms

9700×

body

valid

Details

sample22.0ms

simplify11.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series18.0ms

simplify47.0ms

prune73.0ms

localize9.0ms

rewrite19.0ms

series166.0ms

simplify55.0ms

prune249.0ms

localize15.0ms

rewrite11.0ms

series160.0ms

simplify42.0ms

prune247.0ms

localize22.0ms

rewrite11.0ms

series154.0ms

simplify43.0ms

prune285.0ms

regimes467.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample563.0ms

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