Details

Time bar (total: 7.5s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
7.0ms256×body80valid

simplify67.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
associate-*r/
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:
91.0ms
(* a (+ (+ b c) d))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* a (+ (+ b c) d))

simplify741.0ms

Counts
29 → 29
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
054271
1170258
2762230
done5000228

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
28.0ms
(* a (+ b c))
13.0ms
(+ (* a (+ b c)) (* a d))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* a (+ b c))
62.0ms
(+ (* a (+ b c)) (* a d))

simplify964.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
077449
1246381
21154352
done5002352

prune157.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma a (+ b c) (* a d))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
023136
137130
2116102
3798102
done5000102

prune43.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

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

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
flip3-+ flip-+
expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
43.0ms
(sqrt (+ (+ b c) d))
61.0ms
(sqrt (+ (+ b c) d))
93.0ms
(* a (sqrt (+ (+ b c) d)))
206.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (+ (+ b c) d))
92.0ms
(sqrt (+ (+ b c) d))
122.0ms
(* a (sqrt (+ (+ b c) d)))
99.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01411627
13811299
218181187
done50021164

prune315.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes197.0ms

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
078
198
done98

end0.0ms

sample1.1s

Algorithm
intervals
Results
352.0ms8000×pre80true
317.0ms8000×body80valid