Details

Time bar (total: 10.6s)

sample50.0ms

Algorithm
intervals
Results
18.0ms256×pre80true
14.0ms256×body80valid

simplify89.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

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-+ insert-posit16 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 → 49
Calls
2 calls:
30.0ms
(+ (+ b c) d)
81.0ms
(* a (+ (+ b c) d))

series55.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (+ b c) d)
38.0ms
(* a (+ (+ b c) d))

simplify1.5s

Counts
55 → 55
Iterations
IterNodes
34070
2716
1188
072

prune572.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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 add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
24.0ms
(+ (* a (+ b c)) (* a d))
25.0ms
(* a (+ b c))

series99.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* a (+ b c)) (* a d))
50.0ms
(* a (+ b c))

simplify1.6s

Counts
50 → 50
Iterations
IterNodes
34053
2852
1234
078

prune436.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ b c))
0.0b
(sqrt (+ b c))
0.1b
(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.3b
(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
8×pow1 add-cube-cbrt sqrt-prod
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+ hypot-def distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 74
Calls
4 calls:
9.0ms
(sqrt (+ b c))
9.0ms
(sqrt (+ b c))
10.0ms
(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.0ms
(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

series394.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ b c))
45.0ms
(sqrt (+ b c))
149.0ms
(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
160.0ms
(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

simplify930.0ms

Counts
86 → 86
Iterations
IterNodes
32522
2662
1242
0112

prune815.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* a d))
0.6b
(* a (* (+ b c) (- b c)))
11.7b
(/ (* a (* (+ b c) (- b c))) (- b c))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
38×add-sqr-sqrt *-un-lft-identity
36×prod-diff
32×add-cube-cbrt
20×associate-*r/
17×add-cbrt-cube add-exp-log
11×fma-def
10×times-frac
8×frac-times pow1 flip3-- flip-- associate-/l/
7×flip3-+ flip-+
6×prod-exp cbrt-unprod
5×associate-/r* add-log-exp
4×sub-neg associate-*l/ associate-/r/
3×expm1-log1p-u cbrt-undiv div-exp associate-*l* pow-prod-down insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
2×div-inv
1×+-commutative clear-num sum-log frac-2neg associate-*r* *-commutative associate-/l*
Counts
3 → 138
Calls
3 calls:
72.0ms
(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* a d))
52.0ms
(* a (* (+ b c) (- b c)))
46.0ms
(/ (* a (* (+ b c) (- b c))) (- b c))

series183.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* a d))
87.0ms
(* a (* (+ b c) (- b c)))
39.0ms
(/ (* a (* (+ b c) (- b c))) (- b c))

simplify917.0ms

Counts
147 → 147
Iterations
IterNodes
23155
1752
0266

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes267.0ms

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
212
112
08

end0.0ms

sample984.0ms

Algorithm
intervals
Results
449.0ms8000×pre80true
327.0ms8000×body80valid