Details

Time bar (total: 26.1s)

sample33.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
10.0ms256×body80valid

simplify64.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×fma-def associate-*r*
2×expm1-log1p-u pow1 flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in *-commutative
Calls
2 calls:
Slowest
5.0ms
(+ (+ b c) d)
5.0ms
(* a (+ (+ b c) d))

series42.0ms

Calls
2 calls:
Slowest
32.0ms
(* a (+ (+ b c) d))
10.0ms
(+ (+ b c) d)

simplify633.0ms

Calls
15 calls:
Slowest
280.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
122.0ms
(+ (* a d) (+ (* a b) (* a c)))
88.0ms
(+ (* a d) (+ (* a b) (* a c)))
29.0ms
(- (+ b c) d)
22.0ms
(+ (+ b c) d)

prune393.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×expm1-log1p-u pow1 flip3-+ add-cbrt-cube associate-*l/ add-exp-log flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out *-commutative
Calls
2 calls:
Slowest
9.0ms
(* (+ b c) a)
5.0ms
(+ (* (+ b c) a) (* d a))

series37.0ms

Calls
2 calls:
Slowest
22.0ms
(+ (* (+ b c) a) (* d a))
15.0ms
(* (+ b c) a)

simplify705.0ms

Calls
13 calls:
Slowest
233.0ms
(* (- (* b b) (* c c)) a)
173.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
116.0ms
(+ (* a d) (+ (* a b) (* a c)))
73.0ms
(+ (* a d) (+ (* a b) (* a c)))
37.0ms
(* (+ (pow b 3) (pow c 3)) a)

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
0.1b
(sqrt (* (+ b c) a))
0.1b
(sqrt (* (+ b c) a))
0.0b
(* (+ b c) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
16×sqrt-div
9×pow1 flip3-+ flip-+
7×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
6×add-cbrt-cube pow1/2 add-exp-log
4×expm1-log1p-u frac-times associate-*r* sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ *-commutative pow-prod-up
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp cbrt-unprod
Calls
4 calls:
Slowest
11.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
4.0ms
(* (+ b c) a)
2.0ms
(sqrt (* (+ b c) a))
2.0ms
(sqrt (* (+ b c) a))

series175.0ms

Calls
4 calls:
Slowest
76.0ms
(sqrt (* (+ b c) a))
67.0ms
(sqrt (* (+ b c) a))
16.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
15.0ms
(* (+ b c) a)

simplify3.7s

Calls
52 calls:
Slowest
375.0ms
(* (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))) (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))
313.0ms
(* (sqrt (* (- (* b b) (* c c)) a)) (sqrt (* (+ (pow b 3) (pow c 3)) a)))
296.0ms
(* (sqrt (* (+ (pow b 3) (pow c 3)) a)) (sqrt (* (- (* b b) (* c c)) a)))
236.0ms
(* (sqrt (* (- (* b b) (* c c)) a)) (sqrt (* (+ b c) a)))
232.0ms
(* (sqrt (* (- (* b b) (* c c)) a)) (sqrt (* (- (* b b) (* c c)) a)))

prune955.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

6.8b
(/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d))
0.0b
(* (+ b c) (+ b c))
0.0b
(* a (/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d)))
0.0b
(- (* (+ b c) (+ b c)) (* d d))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×associate-*r*
9×pow1
8×add-cbrt-cube add-exp-log difference-of-squares
6×flip3-+ flip-+ add-log-exp
4×expm1-log1p-u frac-times flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- associate-/l*
3×associate-/r* associate-*l* associate-*r/
2×distribute-rgt-in distribute-lft-in associate-*l/ associate--l+ *-commutative div-inv associate-/l/
1×pow2 cbrt-undiv clear-num sub-neg frac-2neg pow-plus fma-neg diff-log div-sub div-exp prod-diff pow-prod-down prod-exp pow-prod-up cbrt-unprod
Calls
4 calls:
Slowest
23.0ms
(/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d))
12.0ms
(- (* (+ b c) (+ b c)) (* d d))
9.0ms
(* a (/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d)))
5.0ms
(* (+ b c) (+ b c))

series211.0ms

Calls
4 calls:
Slowest
104.0ms
(* a (/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d)))
53.0ms
(/ (- (* (+ b c) (+ b c)) (* d d)) (- (+ b c) d))
44.0ms
(- (* (+ b c) (+ b c)) (* d d))
10.0ms
(* (+ b c) (+ b c))

simplify16.1s

Calls
101 calls:
Slowest
660.0ms
(/ (cbrt (- (* (+ b c) (+ b c)) (* d d))) (cbrt (- (+ b c) d)))
584.0ms
(* (- (* b b) (* c c)) (+ (pow b 3) (pow c 3)))
476.0ms
(* (+ (* b b) (- (* c c) (* b c))) (+ (* b b) (- (* c c) (* b c))))
416.0ms
(/ (sqrt (- (* (+ b c) (+ b c)) (* d d))) (* (cbrt (- (+ b c) d)) (cbrt (- (+ b c) d))))
393.0ms
(/ (- (* (+ b c) (+ b c)) (* d d)) (sqrt (- (+ b c) d)))

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
499.0ms8000×pre80true
465.0ms8000×body80valid