Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
12.0ms	236×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

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)

rewrite42.0ms

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:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
22.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series147.0ms

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

simplify105.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4395	614
3	5002	614

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
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 → 67

Calls

4 calls:

3.0ms	(/ (* 2.0 PI) 3.0)
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
25.0ms	(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)))

simplify96.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3837	405
3	5002	405

prune302.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

2.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
2.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
22.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series356.0ms

Counts

4 → 10

Calls

4 calls:

99.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
156.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
100.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	267	891
1	989	827
2	5001	821

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-+r-` `div-sub`
3×	`pow-unpow`
2×	`acos-neg` `acos-asin` `cos-diff` `cube-mult` `times-frac` `unpow3` `distribute-frac-neg` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cos-sum` `pow-pow` `flip3-+` `pow1/3` `frac-add` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

63.0ms	(+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
2.0ms	(cbrt (pow (cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
2.0ms	(pow (cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
114.0ms	(cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
320.0ms	(cbrt (pow (cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
517.0ms	(pow (cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
312.0ms	(cos (+ (/ (/ (* 2.0 PI) (sqrt 3.0)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	258	1335
1	920	1233
2	5001	1222

prune213.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes443.0ms

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	26	22
1	26	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

486.0ms	8000×	body	80	valid
398.0ms	7868×	body	80	nan