Details

Time bar (total: 6.8s)

sample31.0ms

Algorithm
intervals
Results
14.0ms319×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3627
41617
52837
63977
75597
87367
911797
1013797
1114067
done14067

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
45.0ms
(* (+ x y) (- 1.0 z))

series63.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (+ x y) (- 1.0 z))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01341028
1374845
21178725
done5000700

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x y) (- z))
0.0b
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×expm1-log1p-u associate-+l+ log1p-expm1-u
1×+-commutative distribute-rgt-in neg-mul-1 fma-def distribute-lft-in unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 53
Calls
2 calls:
35.0ms
(* (+ x y) (- z))
21.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (+ x y) (- z))
90.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))

simplify1.4s

Counts
59 → 59
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0116791
1361709
21583615
done5000613

prune205.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
57.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series5.0ms