Details

Time bar (total: 6.5s)

sample34.0ms

Algorithm
intervals
Results
16.0ms379×body80valid

simplify52.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.2b
(/ (- (* x y) (* z t)) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
11.0ms
(- (* x y) (* z t))
26.0ms
(/ (- (* x y) (* z t)) a)

series129.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (* x y) (* z t))
69.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
48 → 48
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune186.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.4b
(/ (* x y) a)
6.4b
(/ (* t z) a)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
33.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* x y) a)
16.0ms
(/ (* t z) a)

series178.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- (/ (* x y) a) (/ (* t z) a))
35.0ms
(/ (* x y) a)
35.0ms
(/ (* t z) a)

simplify3.3s

Counts
68 → 68
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
0111699
1274658
2962594
34703594
done5000594

prune273.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.4b
(/ (* x y) a)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
60.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
19.0ms
(/ (* x y) a)

series26.0ms

Calls
1 calls:
26.0ms
(/ (* x y) a)