Details

Time bar (total: 3.0s)

sample40.0ms

Algorithm
intervals
Results
23.0ms505×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.7b
(/ (* z z) (* t t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))

series142.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
34.0ms
(/ (* z z) (* t t))

simplify376.0ms

Counts
39 → 39
Iterations

Useful iterations: done (375.0ms)

IterNodesCost
066517
1172509
2709379
done5000374

prune112.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.4b
(* (/ z t) (/ z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
14.0ms
(* (/ z t) (/ z t))

series138.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
30.0ms
(* (/ z t) (/ z t))

simplify546.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
01291098
13721010
21519843
done5000843

prune228.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.6b
(cbrt (/ z t))
10.6b
(cbrt (/ z t))
10.6b
(cbrt (/ z t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
18.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series292.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
68.0ms
(cbrt (/ z t))
63.0ms
(cbrt (/ z t))
69.0ms
(cbrt (/ z t))

simplify1.0s

Iterations

Useful iterations: 3 (285.0ms)

IterNodesCost
01651926
12691805
27831725
320311647