Details

Time bar (total: 3.5s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms264×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

localize15.0ms

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)

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:
3.0ms
(/ (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)
34.0ms
(+ (/ (* 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)

simplify107.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune225.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)))

rewrite37.0ms

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:
4.0ms
(/ (* 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)))

simplify100.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune285.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (/ (- g) h)) (cbrt 3.0))
1.0b
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
12×cbrt-prod
11×add-exp-log
10×add-cbrt-cube
9×associate-/r*
6×add-log-exp
4×pow1 associate-/l*
3×cbrt-undiv div-exp frac-add
2×frac-2neg div-sub clear-num div-inv
1×acos-neg +-commutative acos-asin frac-times cos-sum flip3-+ associate-*r/ distribute-frac-neg associate-*l/ prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 84
Calls
4 calls:
4.0ms
(/ (acos (/ (- g) h)) (cbrt 3.0))
6.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
7.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))
5.0ms
(/ (* 2.0 PI) 3.0)

series303.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(/ (acos (/ (- g) h)) (cbrt 3.0))
93.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
163.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03801015
11518936
25001908

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac associate-/r*
6×cbrt-undiv div-exp
4×pow1 add-log-exp
3×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
2×cos-diff associate-+r- div-sub
1×acos-neg acos-asin cos-sum distribute-frac-neg
Counts
4 → 73
Calls
4 calls:
11.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (* 2.0 PI) 3.0)
5.0ms
(/ (* 2.0 PI) 3.0)
5.0ms
(/ (* 2.0 PI) 3.0)

series101.0ms

Counts
4 → 6
Calls
4 calls:
101.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0182494
1592432
22554432
35001432

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

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

sample1.1s

Algorithm
intervals
Results
457.0ms8000×body80valid
383.0ms7988×body80nan