Details

Time bar (total: 17.6s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
9.0ms256×body80valid

simplify43.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite51.0ms

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:
51.0ms
(* a (+ (+ b c) d))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* a (+ (+ b c) d))

simplify997.0ms

Counts
29 → 29
Iterations
IterNodes
33526
2593
1151
054

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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:
12.0ms
(+ (* (+ b c) a) (* d a))
14.0ms
(* (+ b c) a)

series64.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (+ b c) a) (* d a))
25.0ms
(* (+ b c) a)

simplify1.4s

Counts
44 → 44
Iterations
IterNodes
33008
2777
1209
073

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1
41×pow-prod-down
32×add-sqr-sqrt
29×sqrt-prod
28×*-un-lft-identity
21×sqrt-pow1 pow1/2
20×add-cbrt-cube add-exp-log
18×sqrt-div associate-*r/
17×associate-*r*
13×associate-*l* add-cube-cbrt
10×prod-exp cbrt-unprod
9×flip3-+ flip-+ distribute-lft-out
8×pow-prod-up unswap-sqr
7×sqrt-unprod
6×pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative
2×pow-plus associate-*l/
1×pow2 rem-sqrt-square rem-square-sqrt swap-sqr hypot-def
Counts
4 → 146
Calls
4 calls:
42.0ms
(sqrt (+ (+ b c) d))
85.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
60.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
188.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (+ (+ b c) d))
267.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
245.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
73.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify4.3s

Counts
158 → 158
Iterations
IterNodes
36276
21411
1442
0167

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))
0.1b
(* (* (+ b c) (+ b c)) (+ b c))
0.7b
(* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c))))
18.1b
(/ (* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
40×flip3-+ flip-+
36×frac-times
25×pow1
18×associate-*l/ associate-/r/
16×add-cbrt-cube frac-add add-exp-log
12×add-sqr-sqrt associate-*r/
11×*-un-lft-identity
9×add-cube-cbrt
8×flip3-- flip--
7×associate-*r*
6×pow-plus pow-prod-up
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×associate-/r* times-frac fma-udef
2×pow2 distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-sqr *-commutative unswap-sqr
1×clear-num frac-2neg pow3 div-inv distribute-lft-out associate-/l*
Counts
4 → 132
Calls
4 calls:
0.0ms
(fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))
81.0ms
(* (* (+ b c) (+ b c)) (+ b c))
10.0ms
(* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c))))
64.0ms
(/ (* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

series878.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))
49.0ms
(* (* (+ b c) (+ b c)) (+ b c))
303.0ms
(* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c))))
335.0ms
(/ (* a (fma (* d d) d (* (* (+ b c) (+ b c)) (+ b c)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

simplify1.8s

Counts
144 → 144
Iterations
IterNodes
24648
11009
0278

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes428.0ms

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
210
110
07

end0.0ms

sample1.4s

Algorithm
intervals
Results
571.0ms8000×pre80true
563.0ms8000×body80valid