Details

Time bar (total: 8.7s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3757
4937
done937

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))

rewrite79.0ms

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:
78.0ms
(* a (+ (+ b c) d))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* a (+ (+ b c) d))

simplify1.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
054271
1152256
2593228
33461228
done5001228

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
14.0ms
(+ (* (+ b c) a) (* d a))
24.0ms
(* (+ b c) a)

series56.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (+ b c) a) (* d a))
24.0ms
(* (+ b c) a)

simplify2.6s

Counts
44 → 44
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
072419
1203356
2832330
34169328
done5000328

prune88.0ms

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)))

rewrite167.0ms

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×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 59
Calls
2 calls:
82.0ms
(* (sqrt a) (+ (+ b c) d))
83.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (sqrt a) (+ (+ b c) d))
56.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify647.0ms

Counts
65 → 65
Iterations

Useful iterations: done (645.0ms)

IterNodesCost
095816
1263657
21129576
done5002573

prune116.0ms

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))))

rewrite434.0ms

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×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×flip3-+ *-commutative flip-+ distribute-lft-out unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 123
Calls
4 calls:
2.0ms
(sqrt (sqrt a))
93.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))
84.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
251.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))

series526.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (sqrt a))
100.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))
224.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
59.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))

simplify1.0s

Counts
135 → 135
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01922041
15111542
219401195
done50011192

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample595.0ms

Algorithm
intervals
Results
180.0ms8000×pre80true
131.0ms8000×body80valid