Details

Time bar (total: 10.0s)

sample19.0ms

Algorithm
intervals
Results
6.0ms332×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1117
2156
3166
done166

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) z 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) z x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (* y z) z x)

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
019104
131102
26390
318090
458390
5266990
done500090

prune34.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
7.0ms
(+ x (* (* y z) z))
19.0ms
(* (* y z) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (* y z) z))
31.0ms
(* (* y z) z)

simplify2.2s

Counts
42 → 42
Iterations

Useful iterations: 3 (568.0ms)

IterNodesCost
062345
1166306
2599273
31828270
done5001270

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (pow z 2) y))
8.7b
(* (pow z 2) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×fma-def associate-*r* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 45
Calls
2 calls:
9.0ms
(+ x (* (pow z 2) y))
13.0ms
(* (pow z 2) y)

series55.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (pow z 2) y))
18.0ms
(* (pow z 2) y)

simplify1.8s

Counts
51 → 51
Iterations

Useful iterations: 3 (526.0ms)

IterNodesCost
074417
1173365
2509326
31845325
done5000325

prune110.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
16×pow1 add-exp-log
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×unpow-prod-down
8×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unpow2 sqr-pow
1×associate-*r* associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
62.0ms
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))

series564.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
182.0ms
(cbrt (pow z 2))
185.0ms
(cbrt (pow z 2))
178.0ms
(cbrt (pow z 2))

simplify1.8s

Counts
90 → 90
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
075971
1169918
2537595
31496502
done5000502

prune205.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

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
067
197
done97

end0.0ms

sample524.0ms

Algorithm
intervals
Results
207.0ms10572×body80valid