Details

Time bar (total: 16.3s)

sample101.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
34.0ms271×body80nan

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

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)))

rewrite12.0ms

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 3.0) PI (/ (acos (/ (- g) h)) 3.0))
7.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
18.0ms
(/ (acos (/ (- g) h)) 3.0)
181.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
49×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
36×times-frac
11×pow1
8×add-exp-log
7×pow1/3
6×swap-sqr associate-*r* associate-*l* associate-/r* associate-/l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×cbrt-undiv pow2 cos-sum frac-2neg pow-plus div-exp prod-exp clear-num *-commutative cbrt-unprod fma-udef div-inv
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- g) h)))
3.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)))))
8.0ms
(/ (cbrt (acos (/ (- g) h))) (cbrt 3.0))
16.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(cbrt (acos (/ (- g) h)))
243.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)))))
149.0ms
(/ (cbrt (acos (/ (- g) h))) (cbrt 3.0))
75.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))

simplify2.2s

Counts
139 → 139
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01692571
12622408
27071908
331501867
done50011819

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:
7.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

series396.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
107.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
107.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
169.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

simplify1.8s

Counts
101 → 101
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
01371921
12321695
25051509
323291501
done50011501

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log
7×unpow-prod-down
6×pow-unpow
5×pow-pow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-exp unpow2 sqr-pow
2×pow-to-exp pow-prod-down rem-cube-cbrt
1×cube-mult cos-sum unpow3 cube-prod pow3 prod-exp cbrt-unprod fma-udef
Counts
4 → 74
Calls
4 calls:
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
12.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)
2.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))
4.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)

series634.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
163.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)
230.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))
136.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)

simplify3.2s

Counts
86 → 86
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01152151
12101840
25501437
333781408
done50001408

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes119.0ms

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
02338
12738
done2738

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8000×body80valid
700.0ms8062×body80nan