Details

Time bar (total: 7.3s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3657
done657

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

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:
74.0ms
(* a (+ (+ b c) d))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* a (+ (+ b c) d))

simplify1.3s

Counts
27 → 27
Iterations

Useful iterations: 3 (582.0ms)

IterNodesCost
052255
1147240
2563216
33281212
done5002212

prune40.0ms

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

rewrite33.0ms

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:
12.0ms
(+ (* (+ b c) a) (* d a))
20.0ms
(* (+ b c) a)

series54.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* (+ b c) a) (* d a))
23.0ms
(* (+ b c) a)

simplify2.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (866.0ms)

IterNodesCost
068387
1191329
2769303
33744301
done5000301

prune75.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
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:
74.0ms
(* (sqrt a) (+ (+ b c) d))
79.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (sqrt a) (+ (+ b c) d))
57.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify510.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
091774
1254624
21076542
done5000542

prune98.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt a))
0.4b
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))
0.4b
(* (sqrt (sqrt a)) (+ (+ b c) d))
0.4b
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*l*
23×add-sqr-sqrt
22×pow1
20×add-exp-log *-un-lft-identity add-cbrt-cube
17×distribute-rgt-in distribute-lft-in
15×add-cube-cbrt
12×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×sqrt-pow1 add-log-exp
3×flip3-+ *-commutative flip-+ distribute-lft-out unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 115
Calls
4 calls:
2.0ms
(sqrt (sqrt a))
85.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))
77.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
230.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (sqrt a))
101.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))
215.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
56.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))

simplify821.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
01841951
14901478
218571135
done50001135

prune220.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes145.0ms

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
089
1129
done129

end0.0ms

sample599.0ms

Algorithm
intervals
Results
181.0ms8000×pre80true
132.0ms8000×body80valid