Details

Time bar (total: 16.8s)

sample141.0ms

Algorithm
intervals
Results
19.0ms352×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune145.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
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:
2.0ms
(fma (* y z) z x)

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(fma (* y z) z x)

simplify3.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
019104
131102
26390
318090
458390
5266990
done500090

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series972.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
212.0ms
(cbrt (fma (* y z) z x))
245.0ms
(cbrt (fma (* y z) z x))
253.0ms
(cbrt (fma (* y z) z x))

simplify4.0s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
0991437
12171321
25591215
315241068
444531027
done50001027

prune402.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (* y z) z x))
6.0ms
(cbrt (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (cbrt (fma (* y z) z x)))

series966.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt (fma (* y z) z x))
229.0ms
(cbrt (cbrt (fma (* y z) z x)))
273.0ms
(cbrt (cbrt (fma (* y z) z x)))
228.0ms
(cbrt (cbrt (fma (* y z) z x)))

simplify2.6s

Counts
73 → 73
Iterations

Useful iterations: done (2.6s)

IterNodesCost
078999
1168971
2386905
31082888
43163828
done5001827

prune363.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (pow z 2) y) x)
9.0b
(* (pow z 2) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*l*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*r* prod-exp
pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
+-commutative pow-to-exp fma-def flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 43
Calls
2 calls:
18.0ms
(+ (* (pow z 2) y) x)
30.0ms
(* (pow z 2) y)

series60.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (pow z 2) y) x)
28.0ms
(* (pow z 2) y)

simplify2.3s

Counts
49 → 49
Iterations

Useful iterations: 3 (648.0ms)

IterNodesCost
073417
1174366
2493326
31687325
done5000325

prune149.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample788.0ms

Algorithm
intervals
Results
430.0ms10678×body80valid