Details

Time bar (total: 13.3s)

sample28.0ms

Algorithm
intervals
Results
14.0ms322×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 7 (950.0ms)

IterNodesCost
01213
12213
25012
312211
427311
548711
673811
7106810
8169110
9360810
done500010

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
0.0b
(/ (- x z) y)

rewrite20.0ms

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:
0.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
18.0ms
(/ (- x z) y)

series69.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
31.0ms
(/ (- x z) y)

simplify2.7s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
094596
1195571
2467531
31282522
43900518
done5000518

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
0.0ms
(fma 4.0 (/ (- x z) y) 4.0)
30.0ms
(/ (- x z) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma 4.0 (/ (- x z) y) 4.0)
35.0ms
(/ (- x z) y)

simplify3.4s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
091570
1193545
2461497
31314497
44826496
done5000496

prune148.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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:
39.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
12.0ms
(cbrt (- x z))

series7.0ms