Details

Time bar (total: 22.3s)

sample31.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
9.0ms256×body80valid

simplify100.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
100.0ms
(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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
65.0ms
(* a (+ (+ b c) d))

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
19 → 30
Calls
19 calls:
Slowest
401.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
247.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
79.0ms
(+ (* a d) (+ (* a b) (* a c)))
70.0ms
(+ (* a d) (+ (* a b) (* a c)))
67.0ms
(* a (+ (+ b c) d))

prune252.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(+ (* (+ b c) a) (* d a))
0.0b
(* (+ b c) a)

rewrite49.0ms

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
29.0ms
(* (+ b c) a)
19.0ms
(+ (* (+ b c) a) (* d a))

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(+ (* (+ b c) a) (* d a))
32.0ms
(* (+ b c) a)

simplify1.1s

Counts
20 → 46
Calls
20 calls:
Slowest
267.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
222.0ms
(* (- (* b b) (* c c)) a)
179.0ms
(* (+ (pow b 3) (pow c 3)) a)
153.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
97.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune477.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
9×flip3-+ flip-+
8×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log pow-sqr sqrt-prod add-log-exp
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u
2×associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt fma-def pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 107
Calls
4 calls:
Slowest
71.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
51.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
6.0ms
(sqrt (* (+ b c) a))
6.0ms
(sqrt (* (+ b c) a))

series350.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(sqrt (* (+ b c) a))
136.0ms
(sqrt (* (+ b c) a))
51.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
25.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify6.6s

Counts
100 → 119
Calls
100 calls:
Slowest
865.0ms
(* (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))) (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))
290.0ms
(* (exp (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))) (exp (* d a)))
263.0ms
(sqrt (* (- (* b b) (* c c)) a))
258.0ms
(* (* (+ b c) a) (* (+ b c) a))
249.0ms
(sqrt (* (- (* b b) (* c c)) a))

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* 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))

rewrite288.0ms

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
146.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
88.0ms
(* a (sqrt (+ (+ b c) d)))
31.0ms
(sqrt (+ (+ b c) d))
21.0ms
(sqrt (+ (+ b c) d))

series383.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
121.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
121.0ms
(* a (sqrt (+ (+ b c) d)))
71.0ms
(sqrt (+ (+ b c) d))
70.0ms
(sqrt (+ (+ b c) d))

simplify6.5s

Counts
77 → 117
Calls
77 calls:
Slowest
632.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
522.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
423.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
372.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
333.0ms
(* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d)))

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes476.0ms

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
965.0ms8000×pre80true
503.0ms8000×body80valid