Details

Time bar (total: 9.5s)

sample45.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
14.0ms232×body80nan

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite5.0ms

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:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
3.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
99.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.2s

Counts
60 → 60
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0103842
1156818
2333740
3819740
42000740
done5000740

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b
(/ 1 (sqrt 3.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
76×times-frac
51×*-un-lft-identity
45×add-cube-cbrt
41×sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp pow-flip 1-exp div-inv associate-/l*
2×fma-udef
1×frac-times cos-sum frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 152
Calls
4 calls:
0.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
29.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
3.0ms
(/ 1 (sqrt 3.0))

series406.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
220.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
81.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
0.0ms
(/ 1 (sqrt 3.0))

simplify1.0s

Counts
162 → 162
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
02002682
14932340
218381822
done50011822

prune368.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 2.0 3.0) PI)
1.0b
(* (/ 2.0 3.0) PI)
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
8.0ms
(* (/ 2.0 3.0) PI)
8.0ms
(* (/ 2.0 3.0) PI)
2.0ms
(sin (* (/ 2.0 3.0) PI))
2.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

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

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0100816
1197806
2561718
31854718
done5000718

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(* (/ 2.0 3.0) (* (cbrt PI) (cbrt PI)))
1.0b
(* (cbrt PI) (cbrt PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×cbrt-prod associate-*l*
18×add-exp-log
16×pow1
12×add-cbrt-cube
10×times-frac
7×pow1/3 associate-*r* prod-exp cbrt-unprod
6×swap-sqr unswap-sqr
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus associate-*l/ div-inv
Counts
4 → 101
Calls
4 calls:
0.0ms
(cbrt PI)
15.0ms
(* (/ 2.0 3.0) (* (cbrt PI) (cbrt PI)))
6.0ms
(* (cbrt PI) (cbrt PI))
2.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(* (/ 2.0 3.0) (* (cbrt PI) (cbrt PI)))
0.0ms
(* (cbrt PI) (cbrt PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify2.7s

Counts
105 → 105
Iterations

Useful iterations: 3 (532.0ms)

IterNodesCost
0121946
1267891
21055780
34438760
done5000760

prune369.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02340
13140
done3140

end0.0ms

sample1.2s

Algorithm
intervals
Results
494.0ms8000×body80valid
402.0ms8018×body80nan