Details

Time bar (total: 15.0s)

sample48.0ms

Algorithm
intervals
Results
31.0ms314×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2449
31139
41949
52919
63859
77959
831279
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite165.0ms

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 flip3-+ div-exp prod-exp cbrt-unprod flip-+ 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 → 47
Calls
2 calls:
102.0ms
(* x (+ (- y z) 1.0))
61.0ms
(/ (* x (+ (- y z) 1.0)) z)

series137.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* x (+ (- y z) 1.0))
79.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.7s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
094609
1254593
2882499
34763485
done5002485

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
3.4b
(* (/ x z) (+ 1.0 y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
32.0ms
(- (* (/ x z) (+ 1.0 y)) x)
36.0ms
(* (/ x z) (+ 1.0 y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* (/ x z) (+ 1.0 y)) x)
60.0ms
(* (/ x z) (+ 1.0 y))

simplify3.8s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0114680
1368628
21158582
34795576
done5000576

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
55.0ms
(/ z (+ (- y z) 1.0))
95.0ms
(/ x (/ z (+ (- y z) 1.0)))

series64.0ms

Calls
1 calls:
57.0ms
(/ x (/ z (+ (- y z) 1.0)))