Details

Time bar (total: 19.3s)

sample25.0ms

Algorithm
intervals
Results
11.0ms324×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
43.0ms
(* (- 1.0 y) z)
24.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- 1.0 y) z)
75.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.4s

Counts
52 → 52
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
093536
1212518
2649458
32455450
done5001450

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
3.2b
(* (* x z) (- y 1.0))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
15.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
49.0ms
(* (* x z) (- y 1.0))

series157.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
63.0ms
(* (* x z) (- y 1.0))

simplify5.1s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.5s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune141.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.5b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite490.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
80.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
284.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
100.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- y 1.0))
169.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
123.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
238.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.1s

Counts
171 → 171
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02873542
17633336
226632889
done50012699

prune641.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
6.3b
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
9.5b
(* (* x z) (- (* y y) (* 1.0 1.0)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1
6×add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
5×add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×cbrt-undiv div-exp pow-prod-down
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares
Counts
3 → 65
Calls
3 calls:
26.0ms
(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
72.0ms
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
55.0ms
(* (* x z) (- (* y y) (* 1.0 1.0)))

series424.0ms

Counts
3 → 9
Calls
3 calls:
177.0ms
(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
143.0ms
(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
104.0ms
(* (* x z) (- (* y y) (* 1.0 1.0)))

simplify1.4s

Counts
74 → 74
Iterations

Useful iterations: 2 (469.0ms)

IterNodesCost
01391471
14471391
220291145
done50001145

prune236.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes2.0ms