Details

Time bar (total: 9.2s)

sample50.0ms

Algorithm
intervals
Results
27.0ms321×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
089
1148
2248
3408
4628
5828
6938
71148
81518
92138
102848
113408
123718
133948
143988
done3988

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- x 1.0) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
49.0ms
(* (- x 1.0) z)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (- x 1.0) z)

simplify4.6s

Counts
27 → 27
Iterations

Useful iterations: 3 (481.0ms)

IterNodesCost
050203
1109194
2349178
31283174
44537174
done5000174

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
1.9b
(* (- (* x x) (* 1.0 1.0)) z)
5.5b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 add-log-exp
times-frac associate-*l* associate-*l/ associate-/r*
expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 69
Calls
3 calls:
19.0ms
(- (* x x) (* 1.0 1.0))
51.0ms
(* (- (* x x) (* 1.0 1.0)) z)
51.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series200.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x x) (* 1.0 1.0))
52.0ms
(* (- (* x x) (* 1.0 1.0)) z)
94.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01141059
13071008
21293857
done5001751

prune272.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune4.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11010
done1010

end0.0ms

sample1.1s

Algorithm
intervals
Results
539.0ms10100×body80valid