Details

Time bar (total: 7.0s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1187
2407
3677
4827
done827

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
16.0ms
(+ (+ b c) d)
43.0ms
(* a (+ (+ b c) d))

series45.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ b c) d)
27.0ms
(* a (+ (+ b c) d))

simplify1.6s

Counts
53 → 53
Iterations

Useful iterations: 3 (322.0ms)

IterNodesCost
070428
1190407
2803369
33584367
done5001367

prune101.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
10.0ms
(* (+ b c) a)
5.0ms
(+ (* (+ b c) a) (* a d))

series49.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (+ b c) a)
28.0ms
(+ (* (+ b c) a) (* a d))

simplify1.8s

Counts
43 → 43
Iterations

Useful iterations: 3 (347.0ms)

IterNodesCost
072414
1208371
2829325
33569323
done5000323

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
0.3b
(* (+ b c) (sqrt a))
0.4b
(* (* (+ b c) (sqrt a)) (sqrt a))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative fma-def sum-log distribute-lft-out
Counts
3 → 66
Calls
3 calls:
19.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
12.0ms
(* (+ b c) (sqrt a))
20.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

series141.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
47.0ms
(* (+ b c) (sqrt a))
36.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify619.0ms

Counts
75 → 75
Iterations

Useful iterations: done (617.0ms)

IterNodesCost
0111918
1316694
21259595
done5000582

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 115
Calls
4 calls:
42.0ms
(* a (+ (+ b c) d))
11.0ms
(sqrt (* a (+ (+ b c) d)))
11.0ms
(sqrt (* a (+ (+ b c) d)))
80.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series442.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* a (+ (+ b c) d))
194.0ms
(sqrt (* a (+ (+ b c) d)))
189.0ms
(sqrt (* a (+ (+ b c) d)))
28.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify635.0ms

Counts
127 → 127
Iterations

Useful iterations: done (632.0ms)

IterNodesCost
01421879
13421426
216131310
done50001304

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes136.0ms

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
089
1129
done129

end0.0ms

sample532.0ms

Algorithm
intervals
Results
187.0ms8000×pre80true
147.0ms8000×body80valid