Details

Time bar (total: 4.7s)

sample79.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
31.0ms284×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1259
2289
3299
4299

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)

rewrite46.0ms

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)
15.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
23.0ms
(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)
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune233.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite50.0ms

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)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms
(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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune294.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log
12×sqrt-prod
11×add-cbrt-cube
9×associate-/r*
6×pow1 add-log-exp
4×div-exp associate-/l*
3×cbrt-undiv pow-flip frac-add
2×frac-2neg clear-num div-inv
1×+-commutative frac-times rec-exp cos-sum sqrt-pow1 flip3-+ pow1/2 1-exp associate-*r/ associate-*l/ prod-exp sum-log cbrt-unprod flip-+ inv-pow
Counts
4 → 88
Calls
4 calls:
12.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
7.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
3.0ms
(/ 1 (sqrt 3.0))
3.0ms
(/ (* 2.0 PI) 3.0)

series340.0ms

Counts
4 → 8
Calls
4 calls:
229.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
110.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0363748
11729659
25001634

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×sqrt-prod
17×add-exp-log
15×associate-/r*
13×add-cbrt-cube
8×pow1 sqrt-div
7×frac-add associate-/l*
6×pow-flip div-exp add-log-exp
5×frac-times associate-*l/
4×cbrt-undiv
3×frac-2neg associate-*r/ clear-num div-inv
2×rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
1×+-commutative flip3-+ prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 129
Calls
4 calls:
9.0ms
(+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0))))
3.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(/ 1 (sqrt 3.0))
3.0ms
(/ 1 (sqrt 3.0))

series120.0ms

Counts
4 → 6
Calls
4 calls:
120.0ms
(+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0))))
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0422949
12280836
25002786

prune306.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes209.0ms

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)

IterNodesCost
02622
12622

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8000×body80valid
811.0ms8196×body80nan