Details

Time bar (total: 22.0s)

sample66.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
17.0ms253×body80nan

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

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)))

rewrite28.0ms

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))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
20.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
114.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune279.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (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))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
94×times-frac
66×*-un-lft-identity
60×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg div-sub clear-num
1×acos-neg acos-asin frac-times cos-sum sqrt-pow1 pow1/2 associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ *-commutative fma-udef inv-pow
Counts
4 → 185
Calls
4 calls:
7.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
57.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
3.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
10.0ms
(/ 1 (sqrt 3.0))

series639.0ms

Counts
4 → 10
Calls
4 calls:
72.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
116.0ms
(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
450.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))

simplify4.6s

Counts
195 → 195
Iterations

Useful iterations: done (4.6s)

IterNodesCost
02203077
14782682
212932278
336132180
done50002168

prune715.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
1.0b
(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow3 div-sub sqr-pow
1×cbrt-undiv acos-neg acos-asin pow-to-exp cos-sum pow-pow frac-2neg pow1/3 distribute-frac-neg div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
4.0ms
(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
3.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

series533.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (acos (/ (- g) h)) 3.0)
127.0ms
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
235.0ms
(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
153.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: 3 (736.0ms)

IterNodesCost
01371921
12321695
25041509
323651501
done50011501

prune345.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (* (cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))) 3)
1.0b
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×expm1-log1p-u unpow-prod-down pow-pow log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×cos-sum pow-prod-down pow-exp fma-udef unpow2 rem-cube-cbrt sqr-pow
1×cube-mult pow-to-exp unpow3 cube-prod pow3 prod-exp cbrt-unprod
Counts
4 → 64
Calls
4 calls:
11.0ms
(pow (* (cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))) 3)
2.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
2.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))

series906.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(pow (* (cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))))) 3)
140.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
146.0ms
(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0)))
354.0ms
(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))

simplify3.7s

Counts
76 → 76
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01011935
11841646
24581251
323281224
done50011203

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes190.0ms

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
02136
12536
done2536

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s8255×body80nan
1.1s8000×body80valid