Details

Time bar (total: 8.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms303×body80valid
0.0ms3×body1280valid
0.0ms3×body320valid
0.0ms2×body640valid
0.0ms2×body160valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2289
3369
4399
done399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
35.0ms
(* x (+ y z))
22.0ms
(+ (* x (+ y z)) (* z 5.0))

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ y z))
47.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify2.1s

Counts
42 → 42
Iterations

Useful iterations: 3 (964.0ms)

IterNodesCost
072422
1213386
2701358
32953356
done5001356

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (+ x 5.0)))
0.0b
(* z (+ x 5.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(+ (* x y) (* z (+ x 5.0)))
26.0ms
(* z (+ x 5.0))

series71.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x y) (* z (+ x 5.0)))
35.0ms
(* z (+ x 5.0))

simplify2.7s

Counts
42 → 42
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
071422
1210384
2748356
33473356
done5001356

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (+ x 5.0)))
0.0b
(* z (+ x 5.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
20.0ms
(+ (* x y) (* z (+ x 5.0)))
31.0ms
(* z (+ x 5.0))

series92.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* x y) (* z (+ x 5.0)))
49.0ms
(* z (+ x 5.0))

simplify2.6s

Counts
42 → 42
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
071422
1210384
2748356
33473356
done5001356

prune166.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series0.0ms