Details

Time bar (total: 9.7s)

sample29.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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:
1.0ms
(fma (/ y z) y x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (/ y z) y x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
019110
128110
27895
330495
4263095
done500095

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
9.2b
(/ (* y y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
9.0ms
(+ x (/ (* y y) z))
11.0ms
(/ (* y y) z)

series57.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (* y y) z))
20.0ms
(/ (* y y) z)

simplify767.0ms

Counts
46 → 46
Iterations

Useful iterations: done (766.0ms)

IterNodesCost
071387
1217372
21493332
done5000311

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite28.0ms

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:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
302.0ms
(* (cbrt z) (cbrt z))
264.0ms
(cbrt z)
292.0ms
(cbrt z)
257.0ms
(cbrt z)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt z)
270.0ms
(cbrt z)
245.0ms
(cbrt z)
258.0ms
(cbrt z)

simplify933.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

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

sample861.0ms

Algorithm
intervals
Results
343.0ms10686×body80valid