Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
12.0ms	29×	body	640	valid
11.0ms	172×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

7.0ms	(+ (+ x (sin y)) (* z (cos y)))
5.0ms	(* z (cos y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

simplify31.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5002	304

prune58.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series91.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))
23.0ms	(cbrt (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5514	477

prune95.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite16.0ms

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:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
26.0ms	(cbrt (* z (cos y)))
28.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (* z (cos y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5003	438

prune86.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt z))
0.5b	(cbrt z)
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt z))
1.0ms	(cbrt z)
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* z (cos y))) (cbrt z))
28.0ms	(cbrt z)
26.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (* z (cos y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5065	445

prune71.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

regimes264.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

421.0ms	992×	body	1280	valid
353.0ms	5569×	body	80	valid
237.0ms	845×	body	640	valid
73.0ms	378×	body	320	valid
29.0ms	216×	body	160	valid

Details

sample56.0ms

simplify3.0ms

prune7.0ms

localize9.0ms

rewrite12.0ms

series20.0ms

simplify31.0ms

prune58.0ms

localize13.0ms

rewrite14.0ms

series91.0ms

simplify53.0ms

prune95.0ms

localize13.0ms

rewrite16.0ms

series115.0ms

simplify46.0ms

prune86.0ms

localize19.0ms

rewrite15.0ms

series109.0ms

simplify36.0ms

prune71.0ms

regimes264.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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