Details

Time bar (total: 8.7s)

sample36.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
7.0ms256×body80valid

simplify98.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×associate-*r* add-cube-cbrt
4×pow1 fma-def add-cbrt-cube add-exp-log
3×sum-log associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
48.0ms
(+ (+ b c) d)
119.0ms
(* a (+ (+ b c) d))

series73.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (+ b c) d)
51.0ms
(* a (+ (+ b c) d))

simplify1.3s

Counts
53 → 53
Iterations
IterNodes
done5000
2960
1206
070

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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-+ 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 → 38
Calls
2 calls:
20.0ms
(+ (* (+ b c) a) (* d a))
19.0ms
(* (+ b c) a)

series73.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* (+ b c) a) (* d a))
29.0ms
(* (+ b c) a)

simplify1.3s

Counts
44 → 44
Iterations
IterNodes
done5001
21065
1210
073

prune230.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×associate-*r* add-cube-cbrt
4×pow1 fma-def add-cbrt-cube add-exp-log
3×sum-log associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
44.0ms
(+ (+ b c) d)
101.0ms
(* a (+ (+ b c) d))

series62.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (+ b c) d)
39.0ms
(* a (+ (+ b c) d))

simplify996.0ms

Counts
53 → 53
Iterations
IterNodes
done5000
2960
1206
070

prune253.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×sqrt-prod
34×add-sqr-sqrt
30×distribute-lft-out
28×sqrt-div
26×pow1
16×swap-sqr
15×add-cube-cbrt
14×flip3-+ flip-+
12×associate-*r/
11×add-cbrt-cube associate-*l* add-exp-log
10×sqrt-pow1 pow1/2
9×associate-*r*
8×frac-times
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr
2×rem-sqrt-square *-commutative hypot-def
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 140
Calls
4 calls:
45.0ms
(sqrt (+ (+ b c) d))
45.0ms
(sqrt (+ (+ b c) d))
138.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
122.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (+ (+ b c) d))
56.0ms
(sqrt (+ (+ b c) d))
84.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
63.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))

simplify1.2s

Counts
152 → 152
Iterations
IterNodes
done5002
21722
1408
0163

prune571.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes390.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample813.0ms

Algorithm
intervals
Results
273.0ms8000×pre80true
260.0ms8000×body80valid