Details

Time bar (total: 8.8s)

sample35.0ms

Algorithm
intervals
Results
16.0ms316×body80valid
0.0msbody1280valid

simplify115.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2427
3827
41107
51227
done1227

prune3.0ms

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 y) (+ z 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
flip3-+ flip-+
add-sqr-sqrt
frac-times associate-*r* associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*r/ associate-*l/ distribute-lft-out
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
52.0ms
(* (+ x y) (+ z 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (+ x y) (+ z 1.0))

simplify1.3s

Counts
33 → 33
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
079415
1265396
21077368
done5000368

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
associate-*r*
distribute-lft-out
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
24.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
28.0ms
(* (+ x y) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
25.0ms
(* (+ x y) z)

simplify962.0ms

Counts
43 → 43
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
095631
1283533
21158485
done5001465

prune105.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
29.0ms
(* y (+ z 1.0))
25.0ms
(+ (* x z) (* y (+ z 1.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* y (+ z 1.0))
38.0ms
(+ (* x z) (* y (+ z 1.0)))

simplify2.8s

Counts
42 → 42
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
070422
1208384
2738356
33472356
done5000356

prune100.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))
0.0b
(sqrt (* (+ x y) (+ z 1.0)))
0.0b
(sqrt (* (+ x y) (+ z 1.0)))
0.3b
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
160×sqrt-div
148×frac-times
126×flip3-+ flip-+
61×pow1
50×associate-*r/ associate-*l/
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt *-un-lft-identity
12×pow1/2
10×add-cube-cbrt pow-prod-up
add-exp-log associate-*r* associate-*l* add-cbrt-cube
sqrt-prod pow-sqr
swap-sqr add-log-exp
prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 197
Calls
4 calls:
49.0ms
(* (+ x y) (+ z 1.0))
15.0ms
(sqrt (* (+ x y) (+ z 1.0)))
23.0ms
(sqrt (* (+ x y) (+ z 1.0)))
110.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ x y) (+ z 1.0))
134.0ms
(sqrt (* (+ x y) (+ z 1.0)))
109.0ms
(sqrt (* (+ x y) (+ z 1.0)))
188.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify1.4s

Counts
209 → 209
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03075780
15714974
219424858
done50024822

prune781.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.0ms