Details

Time bar (total: 10.6s)

sample47.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
11.0ms256×pre80true

simplify32.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
485
366
239
118
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
24.0ms
(+ (+ b c) d)
71.0ms
(* a (+ (+ b c) d))

series57.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (+ b c) d)
35.0ms
(* a (+ (+ b c) d))

simplify1.2s

Counts
45 → 45
Iterations
IterNodes
done5001
2921
1197
066

prune257.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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×flip3-+ associate-*l/ flip-+
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
21.0ms
(+ (* (+ b c) a) (* d a))
32.0ms
(* (+ b c) a)

series96.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* (+ b c) a) (* d a))
40.0ms
(* (+ b c) a)

simplify985.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2978
1197
069

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))

rewrite688.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
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×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
28.0ms
(sqrt (+ (+ b c) d))
43.0ms
(sqrt (+ (+ b c) d))
424.0ms
(* a (sqrt (+ (+ b c) d)))
190.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ (+ b c) d))
60.0ms
(sqrt (+ (+ b c) d))
99.0ms
(* a (sqrt (+ (+ b c) d)))
93.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.4s

Counts
103 → 103
Iterations
IterNodes
done5000
21767
1361
0135

prune559.0ms

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
(- (* (+ b c) (+ b c)) (* d d))
0.0b
(* (+ b c) (+ b c))
0.5b
(* a (- (* (+ b c) (+ b c)) (* d d)))
6.0b
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate--l+ associate-*r/ flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
15.0ms
(- (* (+ b c) (+ b c)) (* d d))
42.0ms
(* (+ b c) (+ b c))
95.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
58.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series418.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* (+ b c) (+ b c)) (* d d))
20.0ms
(* (+ b c) (+ b c))
171.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
154.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify2.2s

Counts
127 → 127
Iterations
IterNodes
done5000
24331
1606
0185

prune564.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes328.0ms

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
done12
112
08

end0.0ms

sample764.0ms

Algorithm
intervals
Results
263.0ms8000×pre80true
203.0ms8000×body80valid