Details

Time bar (total: 9.3s)

sample26.0ms

Algorithm
intervals
Results
11.0ms374×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3477
4657
done657

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 (fma x y z) y t)

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(fma (fma x y z) y t)

simplify846.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
023129
140124
285106
3271106
41475106
done5002106

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (fma (fma x y z) y t))

rewrite17.0ms

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:
12.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series708.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
170.0ms
(cbrt (fma (fma x y z) y t))
163.0ms
(cbrt (fma (fma x y z) y t))
166.0ms
(cbrt (fma (fma x y z) y t))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01071641
12451509
26701368
318711177
done50011142

prune283.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
10×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 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
6.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
5.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series835.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (fma (fma x y z) y t))
161.0ms
(cbrt (fma (fma x y z) y t))
209.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
298.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01471290
13531207
28911079
325391029
done5000948

prune333.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (cbrt (fma (fma x y z) y t))))
0.7b
(pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3)
0.9b
(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
0.9b
(pow (cbrt (cbrt (pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3))) 4)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
143×cbrt-prod
116×unpow-prod-down
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×cube-prod
9×pow-unpow
8×add-exp-log sqr-pow
6×pow1 pow-exp
5×pow-pow add-cbrt-cube
4×expm1-log1p-u pow-to-exp log1p-expm1-u unpow2 add-log-exp
3×pow1/3
2×cube-mult unpow3
1×rem-cube-cbrt
Counts
4 → 154
Calls
4 calls:
2.0ms
(cbrt (cbrt (cbrt (fma (fma x y z) y t))))
10.0ms
(pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3)
6.0ms
(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
30.0ms
(pow (cbrt (cbrt (pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (cbrt (cbrt (fma (fma x y z) y t))))
347.0ms
(pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3)
283.0ms
(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
360.0ms
(pow (cbrt (cbrt (pow (pow (cbrt (cbrt (fma (fma x y z) y t))) 2) 3))) 4)

simplify909.0ms

Counts
166 → 166
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
03174111
17003290
217323003
done50012865

prune581.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.0b 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
067
done67

end0.0ms

sample659.0ms

Algorithm
intervals
Results
260.0ms11326×body80valid