Details

Time bar (total: 13.6s)

sample54.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
11.0ms256×pre80true

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3657
done657

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
109.0ms
(* a (+ (+ b c) d))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* a (+ (+ b c) d))

simplify1.7s

Counts
27 → 27
Iterations

Useful iterations: 3 (741.0ms)

IterNodesCost
052255
1147240
2563216
33281212
done5002212

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×flip3-+ associate-*l/ flip-+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
16.0ms
(+ (* (+ b c) a) (* d a))
28.0ms
(* (+ b c) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* (+ b c) a) (* d a))
33.0ms
(* (+ b c) a)

simplify2.8s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
068387
1191329
2769303
33744301
done5000301

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
58.0ms
(sqrt (+ (+ b c) d))
66.0ms
(sqrt (+ (+ b c) d))
125.0ms
(* a (sqrt (+ (+ b c) d)))
240.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (+ (+ b c) d))
59.0ms
(sqrt (+ (+ b c) d))
115.0ms
(* a (sqrt (+ (+ b c) d)))
88.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify3.2s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01351549
13511243
210031123
341911095
done50021095

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
0.7b
(cbrt (* (+ b c) a))
0.7b
(cbrt (* (+ b c) a))
0.7b
(cbrt (* (+ b c) a))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
30.0ms
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
7.0ms
(cbrt (* (+ b c) a))
8.0ms
(cbrt (* (+ b c) a))
7.0ms
(cbrt (* (+ b c) a))

series658.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
160.0ms
(cbrt (* (+ b c) a))
181.0ms
(cbrt (* (+ b c) a))
142.0ms
(cbrt (* (+ b c) a))

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01391272
13191169
28101073
31994985
done5001918

prune362.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes204.0ms

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
077
1107
done107

end0.0ms

sample959.0ms

Algorithm
intervals
Results
308.0ms8000×pre80true
271.0ms8000×body80valid