Details

Time bar (total: 16.2s)

sample76.0ms

Algorithm
intervals
Results
41.0ms483×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
011284
124204
244179
350179
456179
done56179

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
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 pow-prod-down associate-*l/ associate-*r/ 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)))
19.0ms
(* (/ z t) (/ z t))

series172.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
32.0ms
(* (/ z t) (/ z t))

simplify5.1s

Counts
85 → 85
Iterations

Useful iterations: done (5.1s)

IterNodesCost
012921017
141516514
2143815991
3410714991
done500314796

prune517.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt t)
278.0ms
(cbrt z)
276.0ms
(cbrt z)
268.0ms
(cbrt z)

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
04611972
17910604
217410448
33569808
48629808
524689808
done50599808

prune540.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize91.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt z)
285.0ms
(cbrt z)
283.0ms
(cbrt z)
229.0ms
(cbrt z)

simplify3.5s

Counts
64 → 64
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
02611972
14610604
29610448
31969808
44499808
514059808
done50009808

prune681.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
9.4b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
9.4b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
9.4b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
18.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
2.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
186.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
187.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
198.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify121.0ms

Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
09735035