Details

Time bar (total: 7.8s)

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms256×pre80true

simplify61.0ms

Counts
1 → 1
Iterations
IterNodes
done117
5117
4113
376
241
118
07

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.1b
(* (+ (+ b c) d) a)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
add-sqr-sqrt distribute-lft-out add-log-exp
associate-*l* add-cube-cbrt
pow1 fma-def add-cbrt-cube add-exp-log
sum-log associate-*r*
expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
+-commutative associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 45
Calls
2 calls:
29.0ms
(+ (+ b c) d)
83.0ms
(* (+ (+ b c) d) a)

series47.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ b c) d)
27.0ms
(* (+ (+ b c) d) a)

simplify482.0ms

Counts
51 → 51
Iterations
IterNodes
done5002
2762
1167
068

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-sqr-sqrt associate-*r*
pow1 add-cbrt-cube add-exp-log
associate-*l* add-cube-cbrt sqrt-prod
pow-prod-down prod-exp associate-*r/ cbrt-unprod
distribute-lft-out
expm1-log1p-u flip3-+ associate-*l/ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
distribute-rgt-in distribute-lft-in
Counts
2 → 55
Calls
2 calls:
91.0ms
(* (sqrt a) (+ (+ b d) c))
105.0ms
(* (* (sqrt a) (+ (+ b d) c)) (sqrt a))

series187.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (sqrt a) (+ (+ b d) c))
68.0ms
(* (* (sqrt a) (+ (+ b d) c)) (sqrt a))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5001
21736
1289
094

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma a (+ d b) (* c a))

simplify910.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
3896
2130
139
023

prune98.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (+ d b) c) a)
0.1b
(sqrt (* (+ (+ d b) c) a))
0.1b
(sqrt (* (+ (+ d b) c) a))
0.5b
(* (sqrt (* (+ (+ d b) c) a)) (sqrt (* (+ (+ d b) c) a)))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
flip3-+ associate-*l* flip-+
add-cbrt-cube add-exp-log
associate-*r*
pow-sqr sqrt-prod
expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
distribute-lft-out
prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 113
Calls
4 calls:
81.0ms
(* (+ (+ d b) c) a)
31.0ms
(sqrt (* (+ (+ d b) c) a))
21.0ms
(sqrt (* (+ (+ d b) c) a))
191.0ms
(* (sqrt (* (+ (+ d b) c) a)) (sqrt (* (+ (+ d b) c) a)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ (+ d b) c) a)
93.0ms
(sqrt (* (+ (+ d b) c) a))
100.0ms
(sqrt (* (+ (+ d b) c) a))
28.0ms
(* (sqrt (* (+ (+ d b) c) a)) (sqrt (* (+ (+ d b) c) a)))

simplify1.2s

Counts
125 → 125
Iterations
IterNodes
done5001
21644
1336
0133

prune725.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes244.0ms

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
done9
19
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
366.0ms8000×body80valid
335.0ms8000×pre80true