Details

sample52.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	286×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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:

0.9b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite36.0ms

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:

4.0ms	(/ (acos (/ (- g) h)) 3.0)
15.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series152.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
33.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
108.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify114.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

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

prune263.0ms

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

localize29.0ms

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)))

rewrite38.0ms

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)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(+ (/ (* 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)))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (27.0ms)

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

prune367.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

1.0ms	(fma 2.0 PI (acos (/ (- g) h)))
6.0ms	(/ (* 3.0 (fma 2.0 PI (acos (/ (- g) h)))) (* 3.0 3.0))
4.0ms	(* 3.0 (fma 2.0 PI (acos (/ (- g) h))))
2.0ms	(cos (/ (* 3.0 (fma 2.0 PI (acos (/ (- g) h)))) (* 3.0 3.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(fma 2.0 PI (acos (/ (- g) h)))
44.0ms	(/ (* 3.0 (fma 2.0 PI (acos (/ (- g) h)))) (* 3.0 3.0))
37.0ms	(* 3.0 (fma 2.0 PI (acos (/ (- g) h))))
115.0ms	(cos (/ (* 3.0 (fma 2.0 PI (acos (/ (- g) h)))) (* 3.0 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	226	650
1	1202	513
2	5003	507

prune166.0ms

Filtered

76 candidates to 51 candidates (67.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

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

series313.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
105.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
176.0ms	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	284	614
1	914	554
2	3752	549
3	5001	549

prune231.0ms

Filtered

81 candidates to 66 candidates (81.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

regimes291.0ms

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

sample1.4s

Algorithm

intervals

Results

584.0ms	8000×	body	80	valid
494.0ms	8003×	body	80	nan