Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms397×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1334
2644
3794
4794
done794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
8.0ms
(- (* x x) (* (* y 4.0) z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(- (* x x) (* (* y 4.0) z))

simplify82.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0113123
1540111
22732108
35001104
done5001104

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x x (- (* (* y 4.0) z)))

rewrite1.0ms

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:
0.0ms
(fma x x (- (* (* y 4.0) z)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma x x (- (* (* y 4.0) z)))

simplify73.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04173
19864
236964
3169664
4500164
done500164

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))

rewrite15.0ms

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:
11.0ms
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
102.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
103.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
103.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

simplify92.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0204955
1677876
23118804
35001794
done5001794

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.5b
(cbrt (fma x x (- (* (* y 4.0) z))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
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 → 52
Calls
4 calls:
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
101.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
100.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
101.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

simplify77.0ms

Counts
64 → 64
Iterations

Useful iterations: 4 (72.0ms)

IterNodesCost
0104532
1240488
2687480
32423480
45001464
done5001464

prune240.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1224
2224
done224

end0.0ms

sample561.0ms

Algorithm
intervals
Results
253.0ms12255×body80valid