Details

Time bar (total: 38.7s)

sample39.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms256×pre80true

simplify56.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
56.0ms
(* a (+ (+ b c) d))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

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-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
Slowest
53.0ms
(* a (+ (+ b c) d))

series38.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
38.0ms
(* a (+ (+ b c) d))

simplify2.7s

Counts
32 → 30
Calls
32 calls:
Slowest
348.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
315.0ms
(* a (+ (pow (+ b c) 3) (pow d 3)))
266.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
260.0ms
(* (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* a (+ (+ b c) d)))
174.0ms
(exp (* a (+ (+ b c) d)))

prune263.0ms

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) (* 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-+ insert-posit16 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 → 40
Calls
2 calls:
Slowest
15.0ms
(* (+ b c) a)
12.0ms
(+ (* (+ b c) a) (* d a))

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(+ (* (+ b c) a) (* d a))
27.0ms
(* (+ b c) a)

simplify3.2s

Counts
46 → 46
Calls
46 calls:
Slowest
293.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
257.0ms
(exp (+ (* (+ b c) a) (* d a)))
217.0ms
(* (- (* b b) (* c c)) a)
215.0ms
(* (* (+ (* (+ b c) a) (* d a)) (+ (* (+ b c) a) (* d a))) (+ (* (+ b c) a) (* d a)))
182.0ms
(+ (* (* (+ b c) a) (* (+ b c) a)) (- (* (* d a) (* d a)) (* (* (+ b c) a) (* d a))))

prune432.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

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))

rewrite205.0ms

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
9×distribute-rgt-in distribute-lft-in
8×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×expm1-log1p-u frac-times flip3-- insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff 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 fma-neg diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 131
Calls
4 calls:
Slowest
101.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))
51.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
28.0ms
(- (* (+ b c) (+ b c)) (* d d))
22.0ms
(* (+ b c) (+ b c))

series393.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
135.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))
78.0ms
(- (* (+ b c) (+ b c)) (* d d))
16.0ms
(* (+ b c) (+ b c))

simplify27.8s

Counts
175 → 143
Calls
175 calls:
Slowest
642.0ms
(/ (* (* (* 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)))
626.0ms
(/ (* (* (* 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)))
621.0ms
(* (+ b c) (- (* b b) (* c c)))
522.0ms
(* (- (+ b c) d) (+ (* (+ b c) (+ b c)) (* d d)))
436.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (+ (sqrt (+ b c)) (sqrt d)))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes352.0ms

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
898.0ms8000×pre80true
560.0ms8000×body80valid