Details

Time bar (total: 7.7s)

sample41.0ms

Algorithm
intervals
Results
19.0ms330×body80valid
1.0ms3×body1280valid
1.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify490.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1198
2348
3508
4608
5618
done618

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

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 expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
17.0ms
(+ (* x (+ y z)) (* z 5.0))
20.0ms
(* x (+ y z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x (+ y z)) (* z 5.0))
39.0ms
(* x (+ y z))

simplify2.7s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
076454
1228403
2777374
33320369
done5000369

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×fma-def sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 32
Calls
2 calls:
38.0ms
(+ (+ (* x y) (* z x)) (* z 5.0))
22.0ms
(+ (* x y) (* z x))

series79.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (+ (* x y) (* z x)) (* z 5.0))
40.0ms
(+ (* x y) (* z x))

simplify2.3s

Counts
38 → 38
Iterations

Useful iterations: done (2.3s)

IterNodesCost
059477
1199369
2782327
33358323
done5000322

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
3×associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
1.0ms
(fma x y (* z (+ x 5.0)))
46.0ms
(* z (+ x 5.0))

series100.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma x y (* z (+ x 5.0)))
52.0ms
(* z (+ x 5.0))

simplify1.3s

Counts
41 → 41
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
062350
1152333
2453294
31653294
done5000294

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite18.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series0.0ms