Details

Time bar (total: 12.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms354×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (5.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) y x)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma (/ y z) y x)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune31.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))

rewrite19.0ms

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:
11.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series436.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
110.0ms
(cbrt (fma (/ y z) y x))
110.0ms
(cbrt (fma (/ y z) y x))
105.0ms
(cbrt (fma (/ y z) y x))

simplify1.9s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0851375
11561271
23891169
310121013
42892987
done5000922

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (cbrt (fma (/ y z) y x)))
0.6b
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
1×unpow2 sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
4.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
3.0ms
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))

series440.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (fma (/ y z) y x))
111.0ms
(cbrt (fma (/ y z) y x))
110.0ms
(cbrt (cbrt (fma (/ y z) y x)))
107.0ms
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))

simplify2.1s

Counts
75 → 75
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01051018
1191902
2389848
31052820
43951803
done5001797

prune268.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (cbrt (fma (/ y z) y x)))
0.6b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.9b
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
5.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
5.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series478.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (fma (/ y z) y x))
111.0ms
(cbrt (cbrt (fma (/ y z) y x)))
106.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
150.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify2.8s

Counts
78 → 78
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01171144
12271072
2485972
31298911
44750852
done5000852

prune257.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
done56

end0.0ms

sample510.0ms

Algorithm
intervals
Results
207.0ms10647×body80valid