Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
14.0ms	240×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	29	9
3	32	9
4	33	9
5	33	9

prune3.0ms

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: 1.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`div-sub` `associate-/r*` `add-log-exp`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `associate-+r-` `log1p-expm1-u` `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 → 91

Calls

4 calls:

11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (acos (/ (- g) h)) 3.0)
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series145.0ms

Counts

4 → 10

Calls

4 calls:

99.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(/ (acos (/ (- g) h)) 3.0)
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify104.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	332	711
1	1087	659
2	4512	654
3	5001	654

prune293.0ms

Filtered

101 candidates to 83 candidates (82.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
10×	`distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

5.0ms	(/ (* 2.0 PI) 3.0)
14.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify99.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	245	488
1	854	447
2	3943	435
3	5001	435

prune402.0ms

Filtered

93 candidates to 80 candidates (86.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (acos (/ (- g) h)) 3.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-sub` `fma-udef`
1×	`cbrt-undiv` `acos-neg` `acos-asin` `cos-sum` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 51

Calls

3 calls:

1.0ms	(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
2.0ms	(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (acos (/ (- g) h)) 3.0)

series334.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
203.0ms	(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
11.0ms	(/ (acos (/ (- g) h)) 3.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	158	616
1	360	550
2	931	550
3	3116	547
4	5001	546

prune189.0ms

Filtered

60 candidates to 49 candidates (81.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	61	3	64

Merged error: 0.0b

Counts

64 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`associate-/r*` `add-log-exp`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`acos-neg` `acos-asin` `associate-+r-` `frac-2neg` `distribute-frac-neg` `clear-num`
1×	`+-commutative` `log1p-udef` `distribute-rgt-out` `flip3-+` `log1p-expm1` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0ms	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
5.0ms	(/ (* 2.0 PI) 3.0)

series206.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
164.0ms	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	310	679
1	1063	623
2	4479	618
3	5001	618

prune286.0ms

Filtered

100 candidates to 81 candidates (81.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0.0b

Counts

103 → 3

regimes222.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

474.0ms	8000×	body	80	valid
397.0ms	7996×	body	80	nan