Details

Time bar (total: 4.4s)

sample40.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms236×body80nan

simplify7.0ms

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)

rewrite31.0ms

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 (/ (- g) h)) 3.0)
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
11.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (* 2.0 PI) 3.0)

series149.0ms

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))
106.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify106.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune242.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite42.0ms

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:
5.0ms
(/ (* 2.0 PI) 3.0)
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
13.0ms
(+ (/ (* 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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune491.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite26.0ms

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:
3.0ms
(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
3.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
14.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (* 2.0 PI) 3.0)

series347.0ms

Counts
4 → 10
Calls
4 calls:
97.0ms
(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
151.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
98.0ms
(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 (29.0ms)

IterNodesCost
0267895
1989829
25002821

prune200.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
29.0ms
(+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
2.0ms
(pow (cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
2.0ms
(cbrt (pow (cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
33.0ms
(cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
222.0ms
(pow (cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)
168.0ms
(cbrt (pow (cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
168.0ms
(cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02601505
18361393
250021382

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes436.0ms

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)

IterNodesCost
02622
12622

end0.0ms

sample1.1s

Algorithm
intervals
Results
473.0ms8000×body80valid
378.0ms7868×body80nan