Details

Time bar (total: 15.7s)

sample24.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (60.0ms)

IterNodesCost
089
1149
2349
3929
42618
59218
647018
done50008

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite67.0ms

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:
40.0ms
(* (- 1.0 y) z)
25.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- 1.0 y) z)
62.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify793.0ms

Counts
62 → 62
Iterations

Useful iterations: done (791.0ms)

IterNodesCost
0114726
1271706
21144622
done5001611

prune163.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* z (- 1.0 y)))))
0.0b
(* z (- 1.0 y))
2.7b
(* x (- (* z (- 1.0 y))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
99×distribute-rgt-in distribute-lft-in
90×prod-diff
88×distribute-neg-in
73×add-sqr-sqrt
69×*-un-lft-identity
67×add-cube-cbrt
44×associate-+r+
11×associate-*r*
10×sub-neg
7×pow1 add-exp-log add-cbrt-cube
6×associate-*r/ associate-*l*
5×add-log-exp
3×expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-neg-frac unswap-sqr
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 177
Calls
3 calls:
23.0ms
(+ (* x 1.0) (* x (- (* z (- 1.0 y)))))
29.0ms
(* z (- 1.0 y))
45.0ms
(* x (- (* z (- 1.0 y))))

series227.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ (* x 1.0) (* x (- (* z (- 1.0 y)))))
48.0ms
(* z (- 1.0 y))
77.0ms
(* x (- (* z (- 1.0 y))))

simplify3.8s

Counts
186 → 186
Iterations

Useful iterations: 2 (882.0ms)

IterNodesCost
02993452
19562710
248412177
done50002177

prune450.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- (- 1.0 y))))
2.2b
(* (* x z) (- (- 1.0 y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-neg-in
36×prod-diff
33×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
14×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×distribute-lft-neg-in distribute-rgt-neg-in
4×sub-neg add-log-exp
3×pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u distribute-neg-frac distribute-lft-out-- difference-of-squares
1×+-commutative neg-mul-1 flip3-- fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-- flip-+
Counts
2 → 94
Calls
2 calls:
14.0ms
(+ (* x 1.0) (* (* x z) (- (- 1.0 y))))
71.0ms
(* (* x z) (- (- 1.0 y)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (* x 1.0) (* (* x z) (- (- 1.0 y))))
84.0ms
(* (* x z) (- (- 1.0 y)))

simplify2.6s

Counts
100 → 100
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01931744
16201437
236501179
done50021145

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma z (- (- 1.0 y)) 1.0)
2.6b
(* x (fma z (- (- 1.0 y)) 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma z (- (- 1.0 y)) 1.0)
12.0ms
(* x (fma z (- (- 1.0 y)) 1.0))

series113.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(fma z (- (- 1.0 y)) 1.0)
85.0ms
(* x (fma z (- (- 1.0 y)) 1.0))

simplify1.3s

Counts
38 → 38
Iterations

Useful iterations: done (1.3s)

IterNodesCost
055442
1127432
2410382
31935366
done5002330

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22012
32712
done2712

end0.0ms

sample1.3s

Algorithm
intervals
Results
816.0ms10112×body80valid