Details

Time bar (total: 8.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×body80valid
0.0ms1×body1280valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2447
3987
41587
52027
done2027

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
55.0ms
(* (+ x y) (+ z 1.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (+ x y) (+ z 1.0))

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
081431
1277405
21149377
done5000377

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) z) (* 1.0 (+ x y)))
0.0b
(* (+ x y) z)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u associate-+r+ log1p-expm1-u
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
25.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
36.0ms
(* (+ x y) z)

series93.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
32.0ms
(* (+ x y) z)

simplify1.4s

Counts
49 → 49
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0101682
1313606
21311515
done5001491

prune135.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x z (* y (+ z 1.0)))
0.0b
(* y (+ z 1.0))

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
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:
0.0ms
(fma x z (* y (+ z 1.0)))
35.0ms
(* y (+ z 1.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma x z (* y (+ z 1.0)))
35.0ms
(* y (+ z 1.0))

simplify1.3s

Counts
41 → 41
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
061350
1150330
2473294
31823294
done5000294

prune105.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))
0.0b
(sqrt (* (+ x y) (+ z 1.0)))
0.0b
(sqrt (* (+ x y) (+ z 1.0)))
0.3b
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
160×sqrt-div
148×frac-times
126×flip3-+ flip-+
61×pow1
50×associate-*r/ associate-*l/
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt *-un-lft-identity
12×pow1/2
10×add-cube-cbrt pow-prod-up
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×sqrt-prod pow-sqr
4×expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
2×prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 205
Calls
4 calls:
54.0ms
(* (+ x y) (+ z 1.0))
14.0ms
(sqrt (* (+ x y) (+ z 1.0)))
12.0ms
(sqrt (* (+ x y) (+ z 1.0)))
151.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ x y) (+ z 1.0))
106.0ms
(sqrt (* (+ x y) (+ z 1.0)))
112.0ms
(sqrt (* (+ x y) (+ z 1.0)))
156.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify1.7s

Counts
217 → 217
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03135868
15954931
220354815
done50004773

prune859.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.0ms