Details

Time bar (total: 8.7s)

sample44.0ms

Algorithm
intervals
Results
18.0ms401×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1159
2339
3649
4749
done749

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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:
9.0ms
(- (* x x) (* (* y 4.0) z))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(- (* x x) (* (* y 4.0) z))

simplify2.4s

Counts
19 → 19
Iterations

Useful iterations: done (2.4s)

IterNodesCost
042266
1114255
2461243
32140225
done5000218

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma x x (- (* (* y 4.0) z)))

simplify1.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
023150
142150
296132
3327132
41384132
done5000132

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.1b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.1b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
58.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
139.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
148.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
128.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01262501
12742304
28122088
326061868
done50001810

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2229
done229

end0.0ms

sample1.1s

Algorithm
intervals
Results
541.0ms12060×body80valid