Details

Time bar (total: 10.1s)

sample55.0ms

Algorithm
intervals
Results
19.0ms256×pre80true
16.0ms256×body80valid

simplify58.0ms

Counts
1 → 1
Iterations
IterNodes
692
592
491
371
240
118
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt 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-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
52.0ms
(* a (+ (+ b c) d))

series43.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* a (+ (+ b c) d))

simplify887.0ms

Counts
30 → 30
Iterations
IterNodes
33539
2595
1153
055

prune269.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
14.0ms
(+ (* (+ b c) a) (* d a))
14.0ms
(* (+ b c) a)

series71.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* (+ b c) a) (* d a))
29.0ms
(* (+ b c) a)

simplify1.0s

Counts
46 → 46
Iterations
IterNodes
32729
2740
1212
075

prune387.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (+ b c) a (* d a))

series56.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma (+ b c) a (* d a))

simplify1.4s

Counts
14 → 14
Iterations
IterNodes
44100
3508
2100
136
024

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite272.0ms

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-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 105
Calls
4 calls:
43.0ms
(sqrt (+ (+ b c) d))
44.0ms
(sqrt (+ (+ b c) d))
61.0ms
(* a (sqrt (+ (+ b c) d)))
121.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ (+ b c) d))
65.0ms
(sqrt (+ (+ b c) d))
105.0ms
(* a (sqrt (+ (+ b c) d)))
96.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.8s

Counts
117 → 117
Iterations
IterNodes
34522
21115
1376
0144

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes260.0ms

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
29
19
07

end0.0ms

sample1.7s

Algorithm
intervals
Results
862.0ms8000×body80valid
586.0ms8000×pre80true