Details

Time bar (total: 19.1s)

sample54.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
16.0ms256×body80valid

simplify116.0ms

Calls
1 calls:
Slowest
116.0ms
(* a (+ (+ b c) d))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
4×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Calls
1 calls:
Slowest
79.0ms
(* a (+ (+ b c) d))

series52.0ms

Calls
1 calls:
Slowest
52.0ms
(* a (+ (+ b c) d))

simplify1.3s

Calls
25 calls:
Slowest
359.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
292.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
92.0ms
(+ (* a d) (+ (* a b) (* a c)))
91.0ms
(* a (+ (+ b c) d))
89.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×associate-*l*
13×add-sqr-sqrt
12×fma-def
11×associate-*r* distribute-lft-out
9×add-cube-cbrt
5×+-commutative
4×distribute-rgt-in pow1 associate-+r+ distribute-lft-in add-cbrt-cube add-exp-log *-commutative add-log-exp
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u unswap-sqr
1×sum-log distribute-rgt-out pow-prod-down prod-exp cbrt-unprod
Calls
2 calls:
Slowest
68.0ms
(+ (* a c) (* a (+ b d)))
22.0ms
(* a (+ b d))

series115.0ms

Calls
2 calls:
Slowest
68.0ms
(+ (* a c) (* a (+ b d)))
47.0ms
(* a (+ b d))

simplify1.8s

Calls
50 calls:
Slowest
336.0ms
(* (exp (* a c)) (exp (* a (+ b d))))
155.0ms
(* (* (* a a) a) (* (* (+ b d) (+ b d)) (+ b d)))
134.0ms
(+ (* (cbrt a) c) (* (cbrt a) (+ b d)))
131.0ms
(+ (* a c) (* a (+ b d)))
124.0ms
(+ (* a c) (* a (+ b d)))

prune758.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
30×distribute-lft-out
24×fma-def associate-*l*
20×associate-*r*
17×add-sqr-sqrt
11×distribute-rgt-out
10×add-cube-cbrt
9×add-log-exp
6×*-commutative
4×sum-log
3×+-commutative
2×expm1-log1p-u pow1 associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u unswap-sqr
Calls
2 calls:
Slowest
73.0ms
(+ (* a c) (+ (* b a) (* d a)))
45.0ms
(+ (* b a) (* d a))

series95.0ms

Calls
2 calls:
Slowest
52.0ms
(+ (* b a) (* d a))
43.0ms
(+ (* a c) (+ (* b a) (* d a)))

simplify2.5s

Calls
57 calls:
Slowest
562.0ms
(* (exp (* a c)) (exp (+ (* b a) (* d a))))
183.0ms
(* (exp (* b a)) (exp (* d a)))
175.0ms
(* (exp (* a c)) (* (exp (* b a)) (exp (* d a))))
123.0ms
(+ (* a c) (+ (* b a) (* d a)))
120.0ms
(+ (* a c) (+ (* b a) (* d a)))

prune869.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×*-un-lft-identity
32×sqrt-prod
24×associate-*r* associate-*l*
18×sqrt-div
15×add-cube-cbrt distribute-lft-out
14×unswap-sqr
13×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ hypot-def
Calls
4 calls:
Slowest
319.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
80.0ms
(* a (sqrt (+ (+ b c) d)))
33.0ms
(sqrt (+ (+ b c) d))
33.0ms
(sqrt (+ (+ b c) d))

series367.0ms

Calls
4 calls:
Slowest
111.0ms
(* a (sqrt (+ (+ b c) d)))
97.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
86.0ms
(sqrt (+ (+ b c) d))
72.0ms
(sqrt (+ (+ b c) d))

simplify6.8s

Calls
104 calls:
Slowest
669.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
515.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
445.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
332.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
313.0ms
(* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d)))

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes386.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
589.0ms8000×pre80true
491.0ms8000×body80valid