Details

Time bar (total: 12.6s)

sample102.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
31.0ms253×body80nan

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

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)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
7×fma-def
6×div-sub associate-/r* add-log-exp
5×div-inv
4×pow1 expm1-log1p-u associate-+r- log1p-expm1-u 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 → 91
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
27.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
69.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
21.0ms
(/ (* 2.0 PI) 3.0)

series200.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(/ (acos (/ (- g) h)) 3.0)
42.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
136.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.1s

Counts
101 → 101
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01671309
13451242
212751152
done50011122

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ g h)) 3.0)
1.0b
(/ PI 3.0)
1.0b
(/ PI 3.0)
62.9b
(sin (fma (/ 2.0 3.0) PI (/ PI 3.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×acos-asin sin-sum div-sub fma-udef
Counts
4 → 98
Calls
4 calls:
13.0ms
(/ (acos (/ g h)) 3.0)
10.0ms
(/ PI 3.0)
10.0ms
(/ PI 3.0)
5.0ms
(sin (fma (/ 2.0 3.0) PI (/ PI 3.0)))

series21.0ms

Counts
4 → 6
Calls
4 calls:
21.0ms
(/ (acos (/ g h)) 3.0)
0.0ms
(/ PI 3.0)
0.0ms
(/ PI 3.0)
0.0ms
(sin (fma (/ 2.0 3.0) PI (/ PI 3.0)))

simplify1.6s

Counts
104 → 104
Iterations

Useful iterations: 3 (568.0ms)

IterNodesCost
0126993
1215963
2566903
32323897
done5001897

prune761.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num div-inv
Counts
3 → 51
Calls
3 calls:
1.0ms
(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series441.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
280.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify1.3s

Counts
60 → 60
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01041031
11631007
2396901
31728901
done5000829

prune295.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
27×times-frac
26×add-sqr-sqrt add-cube-cbrt
18×add-exp-log cbrt-prod unpow-prod-down cube-prod associate-/r*
13×fma-def
9×add-cbrt-cube
6×div-exp add-log-exp
5×pow1
4×expm1-log1p-u associate-+l- div-sub log1p-expm1-u
3×cube-mult pow-to-exp pow-unpow unpow3 pow-exp prod-exp sqr-pow
2×cbrt-undiv acos-neg acos-asin cos-diff pow-pow distribute-frac-neg div-inv
1×+-commutative cos-sum frac-2neg flip3-+ pow1/3 frac-add clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l* rem-cube-cbrt
Counts
4 → 131
Calls
4 calls:
70.0ms
(cos (+ (/ (acos (/ (- g) h)) 3.0) (/ (* 2.0 PI) (pow (cbrt 3.0) 3))))
44.0ms
(+ (/ (acos (/ (- g) h)) 3.0) (/ (* 2.0 PI) (pow (cbrt 3.0) 3)))
22.0ms
(/ (* 2.0 PI) (pow (cbrt 3.0) 3))
4.0ms
(pow (cbrt 3.0) 3)

series221.0ms

Counts
4 → 8
Calls
4 calls:
164.0ms
(cos (+ (/ (acos (/ (- g) h)) 3.0) (/ (* 2.0 PI) (pow (cbrt 3.0) 3))))
57.0ms
(+ (/ (acos (/ (- g) h)) 3.0) (/ (* 2.0 PI) (pow (cbrt 3.0) 3)))
0.0ms
(/ (* 2.0 PI) (pow (cbrt 3.0) 3))
0.0ms
(pow (cbrt 3.0) 3)

simplify1.4s

Counts
139 → 139
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01911783
14751287
225731168
done50001142

prune928.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01937
12337
done2337

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s7956×body80nan
1.1s8000×body80valid