Details

Time bar (total: 4.3s)

sample42.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms231×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1259
2289
3299
4299

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

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)

series153.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
39.0ms
(+ (/ (* 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)

simplify110.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318666
11047614
24395614
35002614

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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:
4.0ms
(/ (* 2.0 PI) 3.0)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
15.0ms
(+ (/ (* 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)))

simplify100.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
19×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
16×cbrt-prod
11×pow1
9×times-frac associate-/r*
6×cbrt-undiv pow1/3 swap-sqr div-exp associate-*r* associate-*l*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×frac-2neg clear-num div-inv associate-/l*
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 103
Calls
4 calls:
12.0ms
(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
3.0ms
(/ (* 2.0 PI) 3.0)
4.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(/ (* 2.0 PI) 3.0)

series229.0ms

Counts
4 → 6
Calls
4 calls:
229.0ms
(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (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)

simplify159.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02131193
18451070
24914932
35001932

prune350.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(pow (cbrt (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) 4)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
19×add-cbrt-cube
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod unpow-prod-down times-frac associate-/r*
6×cbrt-undiv div-exp
5×pow1
4×add-log-exp
3×pow-unpow frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
2×pow-pow
1×pow-to-exp pow1/3 pow-exp sqr-pow
Counts
4 → 87
Calls
4 calls:
3.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(/ (* 2.0 PI) 3.0)
3.0ms
(pow (cbrt (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) 4)

series244.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)
244.0ms
(pow (cbrt (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) 4)

simplify172.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0244798
1902729
24886722
35001722

prune407.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes347.0ms

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

sample1.2s

Algorithm
intervals
Results
496.0ms8000×body80valid
406.0ms7976×body80nan