Details

Time bar (total: 15.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 7 (634.0ms)

IterNodesCost
01213
12213
24912
310811
422311
542311
668111
7100110
8159410
9389610
done500110

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- x z) y)
1.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series64.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- x z) y)
34.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify2.2s

Counts
56 → 56
Iterations

Useful iterations: 4 (750.0ms)

IterNodesCost
095596
1196571
2448531
31117522
43132518
done5001518

prune170.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(fma (/ (- x z) y) 4.0 2.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- x z) y)
0.0ms
(fma (/ (- x z) y) 4.0 2.0)

series78.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- x z) y)
38.0ms
(fma (/ (- x z) y) 4.0 2.0)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: 4 (805.0ms)

IterNodesCost
092570
1194545
2437497
31155497
43575496
done5000496

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x z)) (cbrt (- x z)))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 109
Calls
4 calls:
25.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series737.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
194.0ms
(cbrt (- x z))
195.0ms
(cbrt (- x z))
186.0ms
(cbrt (- x z))

simplify2.8s

Counts
121 → 121
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01351434
12701332
26601262
316681159
448941119
done50001119

prune402.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
088
done88

end0.0ms

sample573.0ms

Algorithm
intervals
Results
341.0ms10075×body80valid