Details

Time bar (total: 3.1s)

sample57.0ms

Algorithm
intervals
Results
21.0ms268×body80nan
18.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05616
15616

prune6.0ms

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)

rewrite34.0ms

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:
5.0ms
(/ (acos (/ (neg g) h)) 3.0)
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
12.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms
(/ (* 2.0 PI) 3.0)

series23.0ms

Counts
4 → 10
Calls
4 calls:
3.0ms
(/ (acos (/ (neg g) h)) 3.0)
5.0ms
(+ (/ (* 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)

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
053261073

prune137.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New81586
Fresh000
Picked101
Done000
Total82587

Merged error: 0.0b

Counts
87 → 5

localize27.0ms

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)))

rewrite25.0ms

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:
8.0ms
(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms
(/ PI 3.0)
3.0ms
(/ PI 3.0)
9.0ms
(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)))

simplify52.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05249715

prune210.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh044
Picked011
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0))
0.0b
(+ (* 2.0 PI) (acos (/ (neg g) h)))
1.0b
(* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h))))
1.0b
(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity add-log-exp
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp
3×flip3-+ associate-*r* associate-*l* flip-+
2×associate-+r- associate-/l/
1×acos-neg +-commutative distribute-rgt-in acos-asin frac-2neg distribute-lft-in times-frac distribute-frac-neg pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 65
Calls
4 calls:
9.0ms
(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0))
4.0ms
(+ (* 2.0 PI) (acos (/ (neg g) h)))
7.0ms
(* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h))))
3.0ms
(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0))
4.0ms
(+ (* 2.0 PI) (acos (/ (neg g) h)))
6.0ms
(* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h))))
14.0ms
(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04955998
14955998

prune100.0ms

Filtered
51 candidates to 77 candidates (-51.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh123
Picked011
Done011
Total77582

Merged error: 0.0b

Counts
82 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:
3.0ms
(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
8.0ms
(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
9.0ms
(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:
23.0ms
(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
5.0ms
(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
14.0ms
(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms
(* PI (/ 2.0 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049301214
149301214

prune142.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh022
Picked101
Done022
Total89594

Merged error: 0.0b

Counts
94 → 5

regimes429.0ms

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
02639
12639

end0.0ms

sample1.5s

Algorithm
intervals
Results
569.0ms8000×body80valid
474.0ms7874×body80nan

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