Details

Time bar (total: 8.6s)

sample46.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
11.0ms256×body80valid

simplify104.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

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-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
75.0ms
(* a (+ (+ b c) d))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* a (+ (+ b c) d))

simplify1.0s

Counts
29 → 29
Iterations
IterNodes
done5000
2764
1170
054

prune203.0ms

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)

rewrite27.0ms

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:
10.0ms
(+ (* (+ b c) a) (* d a))
17.0ms
(* (+ b c) a)

series99.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* (+ b c) a) (* d a))
41.0ms
(* (+ b c) a)

simplify1.2s

Counts
44 → 44
Iterations
IterNodes
done5001
21065
1210
073

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite291.0ms

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 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
55.0ms
(sqrt (+ (+ b c) d))
33.0ms
(sqrt (+ (+ b c) d))
55.0ms
(* a (sqrt (+ (+ b c) d)))
142.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series364.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (+ (+ b c) d))
75.0ms
(sqrt (+ (+ b c) d))
103.0ms
(* a (sqrt (+ (+ b c) d)))
110.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done5001
21804
1380
0141

prune645.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
3×associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
0.0ms
(fma c a (* a (+ d b)))
28.0ms
(* a (+ d b))

series115.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma c a (* a (+ d b)))
60.0ms
(* a (+ d b))

simplify1.1s

Counts
41 → 41
Iterations
IterNodes
done5000
2645
1170
064

prune223.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes423.0ms

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
done9
19
07

end0.0ms

sample931.0ms

Algorithm
intervals
Results
284.0ms8000×pre80true
279.0ms8000×body80valid