Details

Time bar (total: 15.5s)

sample45.0ms

Algorithm
intervals
Results
17.0ms256×pre80true
15.0ms256×body80valid

simplify85.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
85.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
add-sqr-sqrt distribute-lft-out add-log-exp
associate-*r* add-cube-cbrt
pow1 fma-def add-cbrt-cube add-exp-log
sum-log associate-*l*
expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u
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:
Slowest
74.0ms
(* a (+ (+ b c) d))
19.0ms
(+ (+ b c) d)

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(* a (+ (+ b c) d))
27.0ms
(+ (+ b c) d)

simplify1.3s

Counts
28 → 55
Calls
28 calls:
Slowest
377.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
281.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
122.0ms
(+ (* a d) (+ (* a b) (* a c)))
120.0ms
(* a (+ (+ b c) d))
79.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
associate-*r*
expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
Slowest
33.0ms
(* (+ b c) a)
14.0ms
(+ (* (+ b c) a) (* d a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(+ (* (+ b c) a) (* d a))
25.0ms
(* (+ b c) a)

simplify1.2s

Counts
20 → 46
Calls
20 calls:
Slowest
272.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
234.0ms
(* (- (* b b) (* c c)) a)
176.0ms
(* (+ (pow b 3) (pow c 3)) a)
158.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
101.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

15.6b
(/ (* (- (* b b) (* c c)) a) (- b c))
0.6b
(* (- (* b b) (* c c)) a)
0.0b
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* d a))
0.0b
(- (* b b) (* c c))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
11×fma-def add-cbrt-cube add-exp-log
10×times-frac add-cube-cbrt
add-log-exp
pow1
associate-/r* flip3-- flip-- difference-of-squares
expm1-log1p-u associate-*l* associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u
associate-*r* distribute-lft-out--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/
+-commutative clear-num sum-log sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff pow-prod-down *-commutative flip-+ associate-/l* unswap-sqr
Counts
4 → 99
Calls
4 calls:
Slowest
62.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* d a))
42.0ms
(* (- (* b b) (* c c)) a)
41.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))
15.0ms
(- (* b b) (* c c))

series240.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* d a))
65.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))
52.0ms
(* (- (* b b) (* c c)) a)
47.0ms
(- (* b b) (* c c))

simplify7.9s

Counts
64 → 111
Calls
64 calls:
Slowest
604.0ms
(/ (* (* (* (- (* b b) (* c c)) a) (* (- (* b b) (* c c)) a)) (* (- (* b b) (* c c)) a)) (* (* (- b c) (- b c)) (- b c)))
417.0ms
(/ (* (* (* (- (* b b) (* c c)) (- (* b b) (* c c))) (- (* b b) (* c c))) (* (* a a) a)) (* (* (- b c) (- b c)) (- b c)))
417.0ms
(* (- (pow (* b b) 3) (pow (* c c) 3)) a)
410.0ms
(* (- (pow (* b b) 3) (pow (* c c) 3)) a)
320.0ms
(/ (- (* b b) (* c c)) (sqrt (- b c)))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes335.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
993.0ms8000×pre80true
526.0ms8000×body80valid