Details

Time bar (total: 14.2s)

sample65.0ms

Algorithm
intervals
Results
34.0ms312×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 5 (134.0ms)

IterNodesCost
014326
125326
247301
399301
4200301
5286277
6565277
71596277
done5005277

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

localize17.0ms

Local error

Found 1 expressions with local error:

10.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp associate-/l/
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
22.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.4s

Counts
28 → 28
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0669093
11888698
27937735
done50017663

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

simplify3.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0253247
1503127
21462699
36392699
437732699
done50002699

prune86.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.2b
(/ (/ 2.0 t) z)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
118×*-un-lft-identity
113×add-sqr-sqrt add-cube-cbrt
43×fma-def
41×associate-+r+
39×prod-diff
13×associate-/l*
12×div-inv
7×add-cbrt-cube add-exp-log add-log-exp
3×cbrt-undiv associate-/r* div-exp
2×expm1-log1p-u pow1 sum-log frac-add log1p-expm1-u distribute-lft-out
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-+ flip3-- diff-log flip-+ flip-- distribute-lft-out-- associate-/l/
Counts
2 → 175
Calls
2 calls:
118.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
9.0ms
(/ (/ 2.0 t) z)

series79.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
32.0ms
(/ (/ 2.0 t) z)

simplify2.4s

Counts
181 → 181
Iterations

Useful iterations: done (2.4s)

IterNodesCost
028645400
170740867
2200238004
done500036344

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
10.5b
(cbrt (/ (/ 2.0 t) z))
10.5b
(cbrt (/ (/ 2.0 t) z))
10.5b
(cbrt (/ (/ 2.0 t) z))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×*-un-lft-identity add-cube-cbrt
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
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-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
81.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
4.0ms
(cbrt (/ (/ 2.0 t) z))
4.0ms
(cbrt (/ (/ 2.0 t) z))
5.0ms
(cbrt (/ (/ 2.0 t) z))

series605.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
134.0ms
(cbrt (/ (/ 2.0 t) z))
142.0ms
(cbrt (/ (/ 2.0 t) z))
135.0ms
(cbrt (/ (/ 2.0 t) z))

simplify847.0ms

Iterations

Useful iterations: 0 (511.0ms)

IterNodesCost
0427170079