Details

Time bar (total: 11.6s)

sample56.0ms

Algorithm
intervals
Results
32.0ms341×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
45×times-frac
41×associate-+r+
39×prod-diff
13×fma-def
7×add-log-exp
5×div-inv
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u frac-add sum-log log1p-expm1-u distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ distribute-lft-out--
Counts
2 → 102
Calls
2 calls:
97.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series176.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
79.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify3.4s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune476.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series136.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: done (2.1s)

IterNodesCost
030241
156240
2122191
3383191
41980190
done5002189

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)) (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)))
0.6b
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
0.6b
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
0.6b
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

rewrite70.0ms

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:
49.0ms
(* (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)) (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)))
4.0ms
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
5.0ms
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
5.0ms
(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

series36.0ms