Details

Time bar (total: 12.8s)

sample26.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt 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:
68.0ms
(* a (+ (+ b c) d))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* a (+ (+ b c) d))

simplify2.6s

Counts
27 → 27
Iterations
IterNodes
done5152
34192
2663
1164
052

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite292.0ms

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-cbrt-cube add-exp-log add-cube-cbrt
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:
33.0ms
(sqrt (+ (+ b c) d))
26.0ms
(sqrt (+ (+ b c) d))
80.0ms
(* a (sqrt (+ (+ b c) d)))
149.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (+ (+ b c) d))
72.0ms
(sqrt (+ (+ b c) d))
106.0ms
(* a (sqrt (+ (+ b c) d)))
98.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify2.5s

Counts
103 → 103
Iterations
IterNodes
done5000
34936
21209
1361
0135

prune459.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
62.0ms
(* (sqrt a) (+ (+ b c) d))
68.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(* (sqrt a) (+ (+ b c) d))
59.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5008
21185
1294
091

prune308.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
0.6b
(cbrt (+ (+ b c) d))
0.6b
(cbrt (+ (+ b c) d))
0.6b
(cbrt (+ (+ b c) d))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
160.0ms
(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
25.0ms
(cbrt (+ (+ b c) d))
20.0ms
(cbrt (+ (+ b c) d))
21.0ms
(cbrt (+ (+ b c) d))

series758.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
159.0ms
(cbrt (+ (+ b c) d))
170.0ms
(cbrt (+ (+ b c) d))
213.0ms
(cbrt (+ (+ b c) d))

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5007
32284
2704
1265
0109

prune666.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes508.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample763.0ms

Algorithm
intervals
Results
285.0ms8000×pre80true
231.0ms8000×body80valid