Details

Time bar (total: 12.8s)

sample34.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
9.0ms256×body80valid

simplify87.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
87.0ms
(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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-+ insert-posit16
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 41
Calls
2 calls:
Slowest
69.0ms
(* a (+ (+ b c) d))
23.0ms
(+ (+ b c) d)

series69.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(* a (+ (+ b c) d))
26.0ms
(+ (+ b c) d)

simplify1.1s

Counts
26 → 47
Calls
26 calls:
Slowest
367.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
224.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
69.0ms
(+ (* a d) (+ (* a b) (* a c)))
62.0ms
(* (* (exp b) (exp c)) (exp d))
57.0ms
(* a (+ (+ b c) d))

prune475.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
Slowest
27.0ms
(* (+ b c) a)
22.0ms
(+ (* (+ b c) a) (* d a))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(+ (* (+ b c) a) (* d a))
25.0ms
(* (+ b c) a)

simplify1.4s

Counts
19 → 41
Calls
19 calls:
Slowest
527.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
289.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
204.0ms
(* (- (* b b) (* c c)) a)
151.0ms
(* (+ (pow b 3) (pow c 3)) a)
77.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
11×add-cbrt-cube add-exp-log
8×add-cube-cbrt add-log-exp
6×pow1
5×associate-/r* times-frac
4×flip3-- associate-*l* associate-*l/ insert-posit16 flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg flip3-+ diff-log pow-prod-down *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 78
Calls
4 calls:
Slowest
57.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* d a))
28.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))
27.0ms
(* (- (* b b) (* c c)) a)
14.0ms
(- (* b b) (* c c))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* d a))
81.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))
56.0ms
(* (- (* b b) (* c c)) a)
36.0ms
(- (* b b) (* c c))

simplify5.5s

Counts
52 → 90
Calls
52 calls:
Slowest
600.0ms
(/ (* (* (* (- (* b b) (* c c)) a) (* (- (* b b) (* c c)) a)) (* (- (* b b) (* c c)) a)) (* (* (- b c) (- b c)) (- b c)))
501.0ms
(- (+ (log (- (* b b) (* c c))) (log a)) (log (- b c)))
341.0ms
(* (- (pow (* b b) 3) (pow (* c c) 3)) a)
333.0ms
(/ (* (* (* (- (* b b) (* c c)) (- (* b b) (* c c))) (- (* b b) (* c c))) (* (* a a) a)) (* (* (- b c) (- b c)) (- b c)))
325.0ms
(* (- (pow (* b b) 3) (pow (* c c) 3)) a)

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
610.0ms8000×pre80true
440.0ms8000×body80valid