Details

Time bar (total: 20.1s)

sample74.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
21.0ms228×body80nan

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
014435
121435
225435
329410
432410
533410
done33410

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin cbrt-undiv acos-neg cos-sum clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
5.0ms
(/ (acos (/ (- g) h)) 3.0)
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
17.0ms
(/ (acos (/ (- g) h)) 3.0)
137.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.5s

Counts
60 → 60
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
010321926
115821494
237021414
3145121414
done500121414

prune402.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize58.0ms

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
(* (/ 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))

rewrite55.0ms

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 1-exp div-inv pow-flip associate-/l*
2×fma-udef
1×frac-times cos-sum clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-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))))
35.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
7.0ms
(/ 1 (sqrt 3.0))

series566.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
104.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
315.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))

simplify3.0s

Counts
162 → 162
Iterations

Useful iterations: done (3.0s)

IterNodesCost
020067512
152459086
2345154866
done500053184

prune939.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
52×add-sqr-sqrt
47×*-un-lft-identity add-cube-cbrt
34×sqrt-prod
24×add-exp-log
22×associate-*r*
20×add-cbrt-cube
13×pow1
12×associate-/r*
8×sqrt-div
6×div-exp prod-exp cbrt-unprod pow-flip associate-/l*
5×frac-times associate-*l/
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ div-inv unswap-sqr
2×rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp inv-pow
1×cos-sum associate-*l* *-commutative fma-udef
Counts
4 → 157
Calls
4 calls:
120.0ms
(* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
9.0ms
(/ 1 (sqrt 3.0))
6.0ms
(/ 1 (sqrt 3.0))

series405.0ms

Counts
4 → 8
Calls
4 calls:
120.0ms
(* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))
285.0ms
(cos (fma (/ 2.0 3.0) PI (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))

simplify2.4s

Counts
165 → 165
Iterations

Useful iterations: done (2.4s)

IterNodesCost
018956977
145443694
2294943132
done500242812

prune939.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×sqrt-prod
12×associate-/r* add-exp-log
8×pow1 add-cbrt-cube
6×pow-flip associate-/l*
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv rec-exp clear-num frac-2neg sqrt-pow1 pow1/2 1-exp div-inv inv-pow
Counts
4 → 112
Calls
4 calls:
12.0ms
(/ 1 (sqrt 3.0))
7.0ms
(/ 1 (sqrt 3.0))
5.0ms
(sin (* (/ 2.0 3.0) PI))
6.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(sin (* (/ 2.0 3.0) PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify4.9s

Counts
116 → 116
Iterations

Useful iterations: 3 (915.0ms)

IterNodesCost
010428936
116222380
249022380
3298121332
done500021332

prune814.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify22.0ms

Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
0281056
1381056
done381056

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s8000×body80valid
953.0ms8067×body80nan