Details

Time bar (total: 11.8s)

sample25.0ms

Algorithm
intervals
Results
10.0ms291×body80valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1137
2317
3627
4727
done727

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
10.0ms
(- x (* (* y 4.0) z))

series51.0ms

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

simplify2.4s

Counts
23 → 23
Iterations

Useful iterations: done (2.4s)

IterNodesCost
045273
1109265
2402233
31948229
done5000205

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (- x (* (* y 4.0) z)))
5.0ms
(cbrt (- x (* (* y 4.0) z)))
7.0ms
(cbrt (- x (* (* y 4.0) z)))
43.0ms
(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))

series870.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (- x (* (* y 4.0) z)))
223.0ms
(cbrt (- x (* (* y 4.0) z)))
199.0ms
(cbrt (- x (* (* y 4.0) z)))
229.0ms
(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))

simplify2.5s

Counts
107 → 107
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01292089
12781924
27861786
324801614
done50011569

prune406.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 4.0) z))
0.0b
(sqrt (- x (* (* y 4.0) z)))
0.0b
(sqrt (- x (* (* y 4.0) z)))
0.3b
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×add-cube-cbrt *-un-lft-identity sqrt-div
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×fma-neg prod-diff pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
6.0ms
(- x (* (* y 4.0) z))
13.0ms
(sqrt (- x (* (* y 4.0) z)))
12.0ms
(sqrt (- x (* (* y 4.0) z)))
44.0ms
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- x (* (* y 4.0) z))
100.0ms
(sqrt (- x (* (* y 4.0) z)))
103.0ms
(sqrt (- x (* (* y 4.0) z)))
86.0ms
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify3.4s

Counts
125 → 125
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01362280
12851645
28921502
334691430
done50011374

prune399.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample961.0ms

Algorithm
intervals
Results
448.0ms9147×body80valid