Details

Time bar (total: 15.5s)

sample37.0ms

Algorithm
intervals
Results
19.0ms320×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
81.0ms
(* x (+ (- y z) 1.0))
45.0ms
(/ (* x (+ (- y z) 1.0)) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
47.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.6s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
5.0b
(* (/ x z) (+ y 1.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
33.0ms
(- (* (/ x z) (+ y 1.0)) x)
48.0ms
(* (/ x z) (+ y 1.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (* (/ x z) (+ y 1.0)) x)
47.0ms
(* (/ x z) (+ y 1.0))

simplify1.4s

Counts
67 → 67
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ x z) (+ y 1.0) (- x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 (/ x z) (+ y 1.0) (- x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ x z) (+ y 1.0) (- x))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
023166
143166
292136
3297136
41817136
done5000136

prune39.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
74.0ms
(/ (+ (- y z) 1.0) z)
127.0ms
(* x (/ (+ (- y z) 1.0) z))

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.2s

Counts
86 → 86
Iterations

Useful iterations: 3 (879.0ms)

IterNodesCost
01111039
1271987
2810899
32970882
done5000882

prune142.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.0ms