Details

Time bar (total: 34.3s)

sample60.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
17.0ms256×body80valid

simplify64.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
64.0ms
(* a (+ (+ b c) d))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite93.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
93.0ms
(* a (+ (+ b c) d))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
35.0ms
(* a (+ (+ b c) d))

simplify2.3s

Counts
30 → 28
Calls
30 calls:
Slowest
369.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
310.0ms
(* a (+ (pow (+ b c) 3) (pow d 3)))
264.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
247.0ms
(* (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* a (+ (+ b c) d)))
180.0ms
(exp (* a (+ (+ b c) d)))

prune264.0ms

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

rewrite51.0ms

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
28.0ms
(* (+ b c) a)
22.0ms
(+ (* (+ b c) a) (* d a))

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(+ (* (+ b c) a) (* d a))
25.0ms
(* (+ b c) a)

simplify4.6s

Counts
42 → 41
Calls
42 calls:
Slowest
738.0ms
(* (* (* (+ b c) a) (* (+ b c) a)) (* (+ b c) a))
640.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
535.0ms
(+ (pow (* (+ b c) a) 3) (pow (* d a) 3))
434.0ms
(- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a)))
318.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))

prune360.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))
0.5b
(* a (- (* (+ b c) (+ b c)) (* d d)))
0.0b
(- (* (+ b c) (+ b c)) (* d d))
0.0b
(* (+ b c) (+ b c))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate--l+ associate-*r/ flip-+ add-log-exp
4×frac-times flip3-- insert-posit16 flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 119
Calls
4 calls:
Slowest
92.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
85.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))
34.0ms
(* (+ b c) (+ b c))
15.0ms
(- (* (+ b c) (+ b c)) (* d d))

series510.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
207.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
172.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))
107.0ms
(- (* (+ b c) (+ b c)) (* d d))
23.0ms
(* (+ b c) (+ b c))

simplify22.4s

Counts
160 → 131
Calls
160 calls:
Slowest
727.0ms
(/ (* (* (* a (- (* (+ b c) (+ b c)) (* d d))) (* a (- (* (+ b c) (+ b c)) (* d d)))) (* a (- (* (+ b c) (+ b c)) (* d d)))) (* (* (- (+ b c) d) (- (+ b c) d)) (- (+ b c) d)))
644.0ms
(log (* a (- (* (+ b c) (+ b c)) (* d d))))
612.0ms
(/ (* (* (* a a) a) (* (* (- (* (+ b c) (+ b c)) (* d d)) (- (* (+ b c) (+ b c)) (* d d))) (- (* (+ b c) (+ b c)) (* d d)))) (* (* (- (+ b c) d) (- (+ b c) d)) (- (+ b c) d)))
473.0ms
(* (+ b c) (- (* b b) (* c c)))
426.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (+ (sqrt (+ b c)) (sqrt d)))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes380.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
548.0ms8000×pre80true
488.0ms8000×body80valid