Details

Time bar (total: 3.0s)

sample57.0ms

Algorithm
intervals
Results
21.0ms288×body80nan
18.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02916
12916

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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 (/ (neg g) h)) 3.0)
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
10.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms
(/ (* 2.0 PI) 3.0)

series26.0ms

Counts
4 → 10
Calls
4 calls:
6.0ms
(/ (acos (/ (neg g) h)) 3.0)
6.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
14.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050171073

prune131.0ms

Filtered
68 candidates to 86 candidates (-26.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New83386
Fresh000
Picked101
Done000
Total84387

Merged error: 0.0b

Counts
87 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
1.0b
(/ PI 3.0)
1.0b
(/ PI 3.0)
62.9b
(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

rewrite22.0ms

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* add-log-exp
4×pow1
3×div-inv
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative flip3-+ sin-sum associate-*r/ frac-add sum-log flip-+ distribute-lft-out
Counts
4 → 75
Calls
4 calls:
7.0ms
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms
(/ PI 3.0)
3.0ms
(/ PI 3.0)
7.0ms
(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms
(/ PI 3.0)
0.0ms
(/ PI 3.0)
0.0ms
(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04944712
14944712

prune204.0ms

Filtered
65 candidates to 79 candidates (-21.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done000
Total79382

Merged error: 0.0b

Counts
82 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×cos-sum
3×associate-*l* associate-/r* div-inv associate-/l*
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod unswap-sqr
1×+-commutative acos-asin cos-diff sub-neg frac-2neg flip3-+ div-sub pow-prod-down frac-add associate--l+ clear-num sum-log *-commutative flip-+ distribute-lft-out associate--r-
Counts
4 → 84
Calls
4 calls:
16.0ms
(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
7.0ms
(* PI (/ 2.0 3.0))
7.0ms
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms
(/ PI 3.0)

series14.0ms

Counts
4 → 6
Calls
4 calls:
14.0ms
(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(* PI (/ 2.0 3.0))
0.0ms
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms
(/ PI 3.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05012914

prune137.0ms

Filtered
71 candidates to 90 candidates (-26.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done011
Total90393

Merged error: 0.0b

Counts
93 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
1.0b
(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
1.0b
(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b
(* PI (/ 2.0 3.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×add-exp-log times-frac add-cbrt-cube
7×pow1
6×add-log-exp
4×associate-+r- div-sub
3×unpow-prod-down pow-unpow cube-prod associate-*l*
2×acos-neg acos-asin cos-diff associate-*r/ distribute-frac-neg prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative cube-mult pow-to-exp cos-sum pow-pow flip3-+ unpow3 div-exp pow-prod-down frac-add pow-exp sum-log *-commutative flip-+ div-inv rem-cube-cbrt sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
3.0ms
(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
8.0ms
(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
9.0ms
(* PI (/ 2.0 3.0))

series43.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
23.0ms
(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
14.0ms
(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms
(* PI (/ 2.0 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049581230
149581230

prune144.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh000
Picked011
Done022
Total88492

Merged error: 0.0b

Counts
92 → 4

regimes390.0ms

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 (1.0ms)

IterNodesCost
02639
12639

end0.0ms

sample1.5s

Algorithm
intervals
Results
565.0ms8000×body80valid
473.0ms8022×body80nan

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