Details

Time bar (total: 9.5s)

sample61.0ms

Algorithm
intervals
Results
25.0ms256×pre80true
17.0ms256×body80valid

simplify78.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
78.0ms
(* 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))

rewrite51.0ms

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
50.0ms
(* a (+ (+ b c) d))

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
19 → 30
Calls
19 calls:
Slowest
425.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
197.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
91.0ms
(+ (* a d) (+ (* a b) (* a c)))
74.0ms
(* a (+ (+ b c) d))
62.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune243.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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
27.0ms
(* a (+ b c))
14.0ms
(+ (* a (+ b c)) (* a d))

series105.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(+ (* a (+ b c)) (* a d))
42.0ms
(* a (+ b c))

simplify868.0ms

Counts
25 → 50
Calls
25 calls:
Slowest
307.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
152.0ms
(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
107.0ms
(+ (* b b) (- (* c c) (* b c)))
90.0ms
(+ (* a d) (+ (* a b) (* a c)))
61.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×expm1-log1p-u flip3-+ *-commutative flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
Slowest
100.0ms
(* (sqrt a) (+ (+ b c) d))
81.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
146.0ms
(* (sqrt a) (+ (+ b c) d))
78.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify3.4s

Counts
45 → 67
Calls
45 calls:
Slowest
524.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d))) (* (sqrt a) (+ (+ b c) d))))
516.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d))))
370.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
312.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))
309.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))

prune740.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes311.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
870.0ms8000×body80valid
604.0ms8000×pre80true