Details

Time bar (total: 14.9s)

sample48.0ms

Algorithm
intervals
Results
23.0ms339×body80valid

simplify10.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
089
1149
2259
3488
4958
51378
61788
72188
82678
93728
104678
115268
125858
136308
146688
157978
169358
1712498
1817368
1923488
2025178
2125248
done25248

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
0.0ms
(fma (/ y t) (- z x) x)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(fma (/ y t) (- z x) x)

simplify944.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
023154
140154
293138
3266123
41166123
done5000123

prune84.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

8.2b
(* (- z x) (/ y t))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*l*
pow1
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
56.0ms
(* (- z x) (/ y t))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (- z x) (/ y t))

simplify2.8s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
098465
1238445
2888403
33514391
done5000391

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
pow1
associate-*r* associate-*l*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow1/3
frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
116.0ms
(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

series1.0ms