Details

Time bar (total: 6.6s)

sample46.0ms

Algorithm
intervals
Results
15.0ms256×pre80true
8.0ms256×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3767
41157
51177
done1177

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
add-sqr-sqrt distribute-lft-out add-log-exp
add-cube-cbrt associate-*r*
pow1 add-exp-log fma-def add-cbrt-cube
associate-*l* sum-log
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
57.0ms
(+ (+ b c) d)
132.0ms
(* a (+ (+ b c) d))

series49.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (+ b c) d)
31.0ms
(* a (+ (+ b c) d))

simplify691.0ms

Counts
53 → 53
Iterations

Useful iterations: done (689.0ms)

IterNodesCost
070428
1204409
2890371
done5000367

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
27.0ms
(+ (* (+ b c) a) (* a d))
21.0ms
(* (+ b c) a)

series97.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* (+ b c) a) (* a d))
43.0ms
(* (+ b c) a)

simplify850.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
072414
1203371
21019325
done5001325

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma (+ b c) a (* a d))

simplify906.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
023136
136130
2114102
3818102
done5002102

prune41.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
0.1b
(sqrt (* (+ b c) a))
0.1b
(sqrt (* (+ b c) a))
0.5b
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
flip3-+ flip-+
add-cube-cbrt *-un-lft-identity
add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* log1p-expm1-u
associate-*r/
+-commutative pow2 fma-def pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 103
Calls
4 calls:
62.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
15.0ms
(sqrt (* (+ b c) a))
10.0ms
(sqrt (* (+ b c) a))
74.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series316.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
125.0ms
(sqrt (* (+ b c) a))
108.0ms
(sqrt (* (+ b c) a))
36.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify1.2s

Counts
115 → 115
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01291610
13401072
21585978
done5002957

prune352.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes175.0ms

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
078
198
done98

end0.0ms

sample1.0s

Algorithm
intervals
Results
332.0ms8000×pre80true
245.0ms8000×body80valid