Details

Time bar (total: 19.4s)

sample96.0ms

Algorithm
intervals
Results
38.0ms58×body1280valid
20.0ms46×body640valid
11.0ms113×body80valid
9.0ms28×body320valid
2.0ms11×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1128
2158
done158

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x (sin y) (* z (cos y)))
19.0ms
(* z (cos y))

series191.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(fma x (sin y) (* z (cos y)))
69.0ms
(* z (cos y))

simplify3.2s

Counts
36 → 36
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
050271
185266
2167237
3324233
4757233
53020233
done5000233

prune178.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr 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×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
36.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series676.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms
(cbrt (cos y))
134.0ms
(cbrt (cos y))
144.0ms
(cbrt (cos y))

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: done (2.9s)

IterNodesCost
068726
1128651
2353551
31189529
done5000520

prune491.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
26.0ms
(* z (pow (pow (cos y) 2) 1/3))
61.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series378.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* z (pow (pow (cos y) 2) 1/3))
42.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
33.0ms
(pow (cos y) 2)
145.0ms
(cbrt (cos y))

simplify4.0s

Counts
110 → 110
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01411143
1310945
2874842
33706778
done5000769

prune485.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×pow1 add-exp-log pow-unpow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow2 sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 71
Calls
4 calls:
3.0ms
(pow (cos y) 2)
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (cos y) 2)
23.0ms
(pow (cos y) 2)
269.0ms
(cbrt (pow (cos y) 2))
140.0ms
(cbrt (cos y))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: done (1.3s)

IterNodesCost
080589
1149520
2318445
3872435
done5001429

prune480.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.1b

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s1450×body1280valid
858.0ms1281×body640valid
767.0ms4301×body80valid
699.0ms660×body320valid
117.0ms308×body160valid