Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	54×	body	1280	valid
11.0ms	40×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune9.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

4.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
5.0ms	(* z (sin y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- (* x (cos y)) (* z (sin y)))
8.0ms	(* x (cos y))
8.0ms	(* z (sin y))

simplify44.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5212	402

prune103.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	11	58

Merged error: 0.0b

Counts

58 → 11

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))

series89.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
22.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5514	477

prune124.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* z (sin y))
10.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* z (sin y))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
19.0ms	(cbrt (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4901	441
1	4901	441

prune126.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

9.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series60.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
29.0ms	(cbrt (pow (cos y) 2))
19.0ms	(cbrt (cos y))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4909	521
1	4909	521

prune95.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

regimes236.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	17	17

end0.0ms

sample1.8s

Algorithm

intervals

Results

656.0ms	1518×	body	1280	valid
356.0ms	1266×	body	640	valid
301.0ms	4317×	body	80	valid
117.0ms	586×	body	320	valid
43.0ms	313×	body	160	valid

Details

sample62.0ms

simplify2.0ms

prune9.0ms

localize9.0ms

rewrite14.0ms

series33.0ms

simplify44.0ms

prune103.0ms

localize13.0ms

rewrite14.0ms

series89.0ms

simplify53.0ms

prune124.0ms

localize16.0ms

rewrite22.0ms

series38.0ms

simplify51.0ms

prune126.0ms

localize17.0ms

rewrite18.0ms

series60.0ms

simplify50.0ms

prune95.0ms

regimes236.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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