Details

Time bar (total: 4.0s)

sample47.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
13.0ms262×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

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)

rewrite45.0ms

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)
15.0ms
(+ (/ (* 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)

series148.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
104.0ms
(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

prune238.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite49.0ms

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:
3.0ms
(/ (* 2.0 PI) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms
(+ (/ (* 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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234454
1822413
23837405
35002405

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log *-un-lft-identity add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×add-log-exp
5×pow1
3×times-frac associate-/r* sqrt-prod
2×cbrt-undiv div-exp
1×+-commutative rem-sqrt-square cos-sum frac-2neg sqrt-pow1 flip3-+ pow1/2 frac-add prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 55
Calls
4 calls:
1.0ms
(sqrt (acos (/ (- g) h)))
125.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (sqrt (acos (/ (- g) h))) (/ 3.0 (sqrt (acos (/ (- g) h)))))))
66.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (sqrt (acos (/ (- g) h))) (/ 3.0 (sqrt (acos (/ (- g) h))))))
3.0ms
(/ (* 2.0 PI) 3.0)

series148.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(sqrt (acos (/ (- g) h)))
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (sqrt (acos (/ (- g) h))) (/ 3.0 (sqrt (acos (/ (- g) h)))))))
36.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (sqrt (acos (/ (- g) h))) (/ 3.0 (sqrt (acos (/ (- g) h))))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify98.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0255651
1921582
24180564
35001564

prune185.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite22.0ms

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:
8.0ms
(* (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)
3.0ms
(/ (* 2.0 PI) 3.0)
4.0ms
(/ (* 2.0 PI) 3.0)

series228.0ms

Counts
4 → 6
Calls
4 calls:
228.0ms
(* (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)

simplify148.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02131193
18451070
24914932
35001932

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes410.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02622
12622

end0.0ms

sample1.2s

Algorithm
intervals
Results
463.0ms8000×body80valid
398.0ms8044×body80nan