Details

Time bar (total: 15.4s)

sample65.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
22.0ms256×pre80true

simplify114.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
114.0ms
(* 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 1 expressions with local error:

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

rewrite64.0ms

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
64.0ms
(* a (+ (+ b c) d))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
19 → 30
Calls
19 calls:
Slowest
350.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
240.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
123.0ms
(+ (* a d) (+ (* a b) (* a c)))
103.0ms
(* a (+ (+ b c) d))
73.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
28.0ms
(* a (+ b c))
21.0ms
(+ (* a (+ b c)) (* a d))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ (* a (+ b c)) (* a d))
41.0ms
(* a (+ b c))

simplify895.0ms

Counts
25 → 50
Calls
25 calls:
Slowest
317.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
142.0ms
(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
116.0ms
(+ (* b b) (- (* c c) (* b c)))
104.0ms
(+ (* a d) (+ (* a b) (* a c)))
81.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune423.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×add-sqr-sqrt expm1-log1p-u pow1 +-commutative fma-def *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u
1×associate-+r+
Counts
2 → 34
Calls
2 calls:
Slowest
32.0ms
(+ (* a b) (+ (* a c) (* a d)))
15.0ms
(+ (* a c) (* a d))

series107.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
59.0ms
(+ (* a c) (* a d))
48.0ms
(+ (* a b) (+ (* a c) (* a d)))

simplify1.4s

Counts
12 → 40
Calls
12 calls:
Slowest
641.0ms
(* (exp (* a b)) (exp (+ (* a c) (* a d))))
217.0ms
(* (exp (* a b)) (* (exp (* a c)) (exp (* a d))))
216.0ms
(* (exp (* a c)) (exp (* a d)))
122.0ms
(+ (* a d) (+ (* a b) (* a c)))
97.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune445.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
0.3b
(* a (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 105
Calls
4 calls:
Slowest
152.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
47.0ms
(* a (sqrt (+ (+ b c) d)))
25.0ms
(sqrt (+ (+ b c) d))
22.0ms
(sqrt (+ (+ b c) d))

series403.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(* a (sqrt (+ (+ b c) d)))
111.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
92.0ms
(sqrt (+ (+ b c) d))
68.0ms
(sqrt (+ (+ b c) d))

simplify6.6s

Counts
77 → 117
Calls
77 calls:
Slowest
916.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
646.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
486.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
338.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
308.0ms
(sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
624.0ms8000×pre80true
556.0ms8000×body80valid