Details

Time bar (total: 22.3s)

sample34.0ms

Algorithm
intervals
Results
17.0ms312×body80valid

simplify13.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (82.0ms)

IterNodesCost
089
1149
2349
3929
41908
54098
65868
76958
89018
910518
1012568
1115008
1220718
1323498
1425648
1525728
done25728

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.8b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-*l*
6×pow1 add-exp-log associate-*r* prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
25.0ms
(* (- 1.0 y) z)
30.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (- 1.0 y) z)
71.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify3.3s

Counts
62 → 62
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0114726
1245706
2727616
32853565
done5001523

prune223.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.5b
(* (* x z) (- y 1.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u
1×+-commutative flip3-- fma-def flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
24.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
33.0ms
(* (* x z) (- y 1.0))

series205.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
85.0ms
(* (* x z) (- y 1.0))

simplify1.8s

Counts
88 → 88
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01601547
14261254
213231004
done5001919

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y 1.0))
0.0b
(+ (* x 1.0) (+ (* z (* x (- y 1.0))) (* (+ (- 1.0) 1.0) (* x z))))
3.7b
(* z (* x (- y 1.0)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
46×add-sqr-sqrt
44×*-un-lft-identity
42×add-cube-cbrt
10×pow1 add-exp-log add-cbrt-cube
8×add-log-exp
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sum-log log1p-expm1-u
2×flip3-- *-commutative flip--
1×+-commutative associate-+r+ fma-def flip3-+ flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 128
Calls
3 calls:
25.0ms
(* x (- y 1.0))
141.0ms
(+ (* x 1.0) (+ (* z (* x (- y 1.0))) (* (+ (- 1.0) 1.0) (* x z))))
78.0ms
(* z (* x (- y 1.0)))

series273.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* x (- y 1.0))
126.0ms
(+ (* x 1.0) (+ (* z (* x (- y 1.0))) (* (+ (- 1.0) 1.0) (* x z))))
88.0ms
(* z (* x (- y 1.0)))

simplify1.3s

Counts
137 → 137
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02242681
15012126
214041610
done50001391

prune341.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (* x (- y 1.0))))
2.7b
(* (cbrt z) (* x (- y 1.0)))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
176×distribute-rgt-in distribute-lft-in
108×prod-diff
80×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 215
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
141.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (* x (- y 1.0))))
52.0ms
(* (cbrt z) (* x (- y 1.0)))

series0.0ms