Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
17.0ms	250×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

prune6.0ms

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: 1.0b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (neg g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

4.0ms	(/ (acos (/ (neg g) h)) 3.0)
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
12.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series26.0ms

Counts

4 → 10

Calls

4 calls:

4.0ms	(/ (acos (/ (neg g) h)) 3.0)
6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
17.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5017	1073

prune152.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3.0)
1.0b	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
1.0b	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
62.9b	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`+-commutative` `flip3-+` `associate-*r/` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `frac-2neg` `sin-sum` `div-exp` `clear-num`

Counts

4 → 61

Calls

4 calls:

3.0ms	(/ PI 3.0)
8.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
8.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
9.0ms	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ PI 3.0)
0.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4944	690
1	4944	690

prune193.0ms

Filtered

55 candidates to 65 candidates (-18.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
1.0b	(cbrt (pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))
1.0b	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(* PI (/ 2.0 3.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`cbrt-prod`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`cos-diff` `cube-mult` `associate-+r-` `unpow3` `div-sub` `prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `acos-neg` `acos-asin` `pow-to-exp` `cos-sum` `pow-pow` `pow1/3` `associate-r/` `distribute-frac-neg` `div-exp` `pow-prod-down` `pow-exp` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

4.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
4.0ms	(cbrt (pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))
9.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
10.0ms	(* PI (/ 2.0 3.0))

series59.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
16.0ms	(cbrt (pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))
16.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(* PI (/ 2.0 3.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4913	1413
1	4913	1413

prune161.0ms

Filtered

59 candidates to 96 candidates (-62.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
1.0b	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(* PI (/ 2.0 3.0))
1.6b	(pow (* PI (/ 2.0 3.0)) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`cbrt-prod`
10×	`times-frac`
9×	`pow1`
4×	`unpow-prod-down` `cube-prod` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cos-diff` `cube-mult` `associate-+r-` `pow-pow` `unpow3` `div-sub` `associate-*r/` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`acos-neg` `cube-div` `acos-asin` `pow-to-exp` `cos-sum` `pow1/3` `distribute-frac-neg` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 88

Calls

4 calls:

4.0ms	(cbrt (pow (cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
13.0ms	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
9.0ms	(* PI (/ 2.0 3.0))
7.0ms	(pow (* PI (/ 2.0 3.0)) 3)

series36.0ms

Counts

4 → 8

Calls

4 calls:

16.0ms	(cbrt (pow (cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
19.0ms	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(* PI (/ 2.0 3.0))
0.0ms	(pow (* PI (/ 2.0 3.0)) 3)

simplify31.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5181	1151

prune196.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

regimes386.0ms

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	25	36
1	25	36

end0.0ms

sample1.6s

Algorithm

intervals

Results

619.0ms	8000×	body	80	valid
544.0ms	7897×	body	80	nan

Details

sample55.0ms

simplify3.0ms

prune6.0ms

localize18.0ms

rewrite34.0ms

series26.0ms

simplify52.0ms

prune152.0ms

localize24.0ms

rewrite31.0ms

series0.0ms

simplify31.0ms

prune193.0ms

localize15.0ms

rewrite29.0ms

series59.0ms

simplify60.0ms

prune161.0ms

localize18.0ms

rewrite35.0ms

series36.0ms

simplify31.0ms

prune196.0ms

regimes386.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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