Details

Time bar (total: 2.8s)

analyze163.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14

sample49.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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

localize17.0ms

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)

rewrite30.0ms

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))
11.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms
(/ (* 2.0 PI) 3.0)

series24.0ms

Counts
4 → 10
Calls
4 calls:
4.0ms
(/ (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)

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
053261073

prune140.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New80686
Fresh000
Picked101
Done000
Total81687

Merged error: 0.0b

Counts
87 → 6

localize33.0ms

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)
62.7b
(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

rewrite24.0ms

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)
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)))

simplify53.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05249715

prune207.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done000
Total79685

Merged error: 0.0b

Counts
85 → 6

localize14.0ms

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)))

rewrite26.0ms

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))
6.0ms
(+ (* 2.0 PI) (acos (/ (neg g) h)))
6.0ms
(* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h))))
2.0ms
(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* 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))))
15.0ms
(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (neg g) h)))) (* 3.0 3.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04955998
14955998

prune97.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh314
Picked011
Done011
Total78583

Merged error: 0.0b

Counts
83 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-+r-
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
6×cos-diff exp-prod div-sub
5×pow1 log-prod
4×acos-neg add-exp-log acos-asin distribute-frac-neg exp-sum log-pow add-cbrt-cube
1×+-commutative flip3-+ rem-log-exp sum-log flip-+ rem-exp-log
Counts
4 → 52
Calls
4 calls:
4.0ms
(+ (* 2.0 PI) (acos (/ (neg g) h)))
6.0ms
(exp (cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0)))
6.0ms
(log (exp (cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0))))
5.0ms
(cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0))

series54.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* 2.0 PI) (acos (/ (neg g) h)))
19.0ms
(exp (cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0)))
16.0ms
(log (exp (cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0))))
15.0ms
(cos (/ (+ (* 2.0 PI) (acos (/ (neg g) h))) 3.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049001014
149001014

prune119.0ms

Filtered
48 candidates to 64 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60464
Fresh202
Picked011
Done202
Total64569

Merged error: 0.0b

Counts
69 → 5

regimes233.0ms

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
03617
13617

end0.0ms

sample1.3s

Algorithm
intervals
Results
525.0ms8000×body80valid

Profiling

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