Details

Time bar (total: 3.7s)

sample47.0ms

Algorithm
intervals
Results
15.0ms281×body80nan
15.0ms256×body80valid

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:

1.0b
(/ (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)

rewrite72.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
35.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
9.0ms
(/ (* 2.0 PI) 3.0)

series129.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
30.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
89.0ms
(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)

IterNodesCost
0318666
11047614
24395614
35002614

prune209.0ms

Pruning

4 alts after pruning (3 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)))

rewrite84.0ms

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:
9.0ms
(/ (* 2.0 PI) 3.0)
19.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
33.0ms
(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
71 → 71
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt times-frac
6×div-sub
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-+r-
3×pow1 acos-neg acos-asin distribute-frac-neg associate-/r* associate-/l*
2×cos-diff distribute-lft-out
1×cbrt-undiv +-commutative cos-sum frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
57.0ms
(+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
99.0ms
(cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
90.0ms
(+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
153.0ms
(cos (+ (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0244781
1660712
23257700
35001700

prune181.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(sin (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
1.6b
(cos (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 div-sub add-log-exp
2×cbrt-undiv acos-neg acos-asin frac-2neg distribute-frac-neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
8.0ms
(/ (acos (/ (- g) h)) 3.0)
10.0ms
(sin (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
10.0ms
(cos (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

series20.0ms

Counts
4 → 8
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
10.0ms
(/ (acos (/ (- g) h)) 3.0)
0.0ms
(sin (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
0.0ms
(cos (/ (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0145706
1332636
2779636
32500636
45001636

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes265.0ms

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

sample1.2s

Algorithm
intervals
Results
464.0ms8000×body80valid
376.0ms8029×body80nan