Details

Time bar (total: 8.9s)

sample32.0ms

Algorithm
intervals
Results
15.0ms330×body80valid
1.0ms3×body640valid
1.0ms3×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify42.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
15.0ms
(+ (* x (+ y z)) (* z 5.0))
33.0ms
(* x (+ y z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* x (+ y z)) (* z 5.0))
34.0ms
(* x (+ y z))

simplify2.4s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
072422
1213386
2704358
32945356
done5001356

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
13.0ms
(+ (* x y) (* z (+ x 5.0)))
24.0ms
(* z (+ x 5.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x y) (* z (+ x 5.0)))
51.0ms
(* z (+ x 5.0))

simplify2.6s

Counts
42 → 42
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
071422
1210384
2748356
33473356
done5001356

prune554.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
17.0ms
(+ (* x y) (* z (+ x 5.0)))
20.0ms
(* z (+ x 5.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* x y) (* z (+ x 5.0)))
47.0ms
(* z (+ x 5.0))

simplify2.6s

Counts
42 → 42
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
071422
1210384
2748356
33473356
done5001356

prune148.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite36.0ms

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:
28.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series0.0ms