Details

Time bar (total: 4.0s)

sample49.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
13.0ms271×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

rewrite75.0ms

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)
34.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
23.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
9.0ms
(/ (* 2.0 PI) 3.0)

series140.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
93.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
37.0ms
(+ (/ (* 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

prune220.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)))

rewrite89.0ms

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:
11.0ms
(/ (* 2.0 PI) 3.0)
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
19.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
38.0ms
(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

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt add-cube-cbrt
6×add-log-exp
5×pow1
4×associate-+r- div-sub
3×unpow-prod-down pow-unpow times-frac cube-prod associate-/r* div-inv
2×cbrt-undiv acos-neg acos-asin cos-diff distribute-frac-neg div-exp
1×+-commutative cube-mult pow-to-exp cos-sum distribute-rgt-out pow-pow frac-2neg flip3-+ unpow3 frac-add pow-exp prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 70
Calls
4 calls:
3.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
38.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
9.0ms
(/ (* 2.0 PI) 3.0)

series266.0ms

Counts
4 → 10
Calls
4 calls:
140.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
92.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
33.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0326741
11225666
25001662

prune199.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×times-frac
16×add-sqr-sqrt add-cube-cbrt
11×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×distribute-rgt-out
4×pow1 cos-sum div-inv associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg clear-num
1×+-commutative acos-asin cos-diff sub-neg distribute-lft1-in flip3-+ div-sub frac-add prod-exp associate--l+ sum-log cbrt-unprod flip-+ distribute-lft-out associate--r-
Counts
4 → 79
Calls
4 calls:
177.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
19.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
5.0ms
(/ PI 3.0)
9.0ms
(/ (* 2.0 PI) 3.0)

series95.0ms

Counts
4 → 6
Calls
4 calls:
95.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(/ PI 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify112.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0322516
11082474
24447470
35001470

prune255.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes170.0ms

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

sample1.4s

Algorithm
intervals
Results
577.0ms8197×body80nan
460.0ms8000×body80valid