Details

Time bar (total: 15.4s)

sample54.0ms

Algorithm
intervals
Results
19.0ms256×pre80true
10.0ms256×body80valid

simplify85.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3757
4937
done937

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
108.0ms
(* a (+ (+ b c) d))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* a (+ (+ b c) d))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
054271
1152256
2593228
33461228
done5001228

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ b c) a)
0.0b
(+ (* (+ b c) a) (* d a))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-out fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
29.0ms
(* (+ b c) a)
27.0ms
(+ (* (+ b c) a) (* d a))

series94.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (+ b c) a)
50.0ms
(+ (* (+ b c) a) (* d a))

simplify3.8s

Counts
44 → 44
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
072419
1203356
2830344
34162328
done5000328

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ b c) a (* d a))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (+ b c) a (* d a))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma (+ b c) a (* d a))

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
022136
135130
289116
3518102
43733102
done5000102

prune33.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
0.3b
(* (+ b c) (sqrt a))
0.4b
(* (* (+ b c) (sqrt a)) (sqrt a))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative fma-def sum-log distribute-lft-out
Counts
3 → 66
Calls
3 calls:
43.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
24.0ms
(* (+ b c) (sqrt a))
59.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

series154.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
54.0ms
(* (+ b c) (sqrt a))
36.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify3.5s

Counts
75 → 75
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
0110918
1310690
21074595
34479581
done5000581

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample981.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid
239.0ms8000×pre80true