Details

Time bar (total: 16.1s)

sample59.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
19.0ms256×pre80true

simplify64.0ms

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

prune11.0ms

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))

rewrite97.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
96.0ms
(* a (+ (+ b c) d))

series36.0ms

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

simplify950.0ms

Counts
19 → 28
Calls
19 calls:
Slowest
313.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
224.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
64.0ms
(+ (* a d) (+ (* a b) (* a c)))
60.0ms
(+ (* a d) (+ (* a b) (* a c)))
52.0ms
(* a (+ (+ b c) d))

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
Slowest
14.0ms
(* (+ b c) a)
10.0ms
(+ (* (+ b c) a) (* d a))

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ (* (+ b c) a) (* d a))
39.0ms
(* (+ b c) a)

simplify1.8s

Counts
19 → 41
Calls
19 calls:
Slowest
609.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
607.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
195.0ms
(* (- (* b b) (* c c)) a)
165.0ms
(* (+ (pow b 3) (pow c 3)) a)
71.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune456.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ flip-+ insert-posit16
2×*-commutative unswap-sqr
1×+-commutative sum-log distribute-lft-out
Counts
3 → 62
Calls
3 calls:
Slowest
54.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))
44.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
16.0ms
(* (+ b c) (sqrt a))

series179.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
70.0ms
(* (+ b c) (sqrt a))
35.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify2.5s

Counts
42 → 71
Calls
42 calls:
Slowest
525.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* (sqrt a) (sqrt a)) (sqrt a)))
332.0ms
(* (* (+ (pow b 3) (pow c 3)) (sqrt a)) (sqrt a))
315.0ms
(* (exp (* (* (+ b c) (sqrt a)) (sqrt a))) (exp (* d a)))
294.0ms
(* (* (- (* b b) (* c c)) (sqrt a)) (sqrt a))
181.0ms
(* (* (* (* (+ b c) (sqrt a)) (* (+ b c) (sqrt a))) (* (+ b c) (sqrt a))) (* (* (sqrt a) (sqrt a)) (sqrt a)))

prune754.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a))) (sqrt a))
0.4b
(* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a)))
0.2b
(* (+ b c) (sqrt (sqrt a)))
0.1b
(sqrt (sqrt a))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*r*
23×add-sqr-sqrt
22×pow1
20×add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×sqrt-pow1 insert-posit16 add-log-exp
3×flip3-+ *-commutative flip-+ unswap-sqr
2×rem-sqrt-square pow1/2
1×distribute-lft-out
Counts
4 → 104
Calls
4 calls:
Slowest
129.0ms
(* (* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a))) (sqrt a))
67.0ms
(* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a)))
25.0ms
(* (+ b c) (sqrt (sqrt a)))
1.0ms
(sqrt (sqrt a))

series424.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
199.0ms
(sqrt (sqrt a))
111.0ms
(* (+ b c) (sqrt (sqrt a)))
66.0ms
(* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a)))
48.0ms
(* (* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a))) (sqrt a))

simplify4.6s

Counts
79 → 116
Calls
79 calls:
Slowest
377.0ms
(* (* (- (* b b) (* c c)) (sqrt (sqrt a))) (sqrt (sqrt a)))
312.0ms
(* (* (+ (pow b 3) (pow c 3)) (sqrt (sqrt a))) (sqrt (sqrt a)))
281.0ms
(* (* (* (* (* (+ b c) (sqrt (sqrt a))) (* (+ b c) (sqrt (sqrt a)))) (* (+ b c) (sqrt (sqrt a)))) (* (* (sqrt (sqrt a)) (sqrt (sqrt a))) (sqrt (sqrt a)))) (* (* (sqrt a) (sqrt a)) (sqrt a)))
278.0ms
(* (* (* (+ b c) (sqrt (sqrt a))) (sqrt (sqrt a))) (sqrt a))
258.0ms
(+ (* (pow a 1/4) b) (* (pow a 1/4) c))

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes418.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
610.0ms8000×pre80true
561.0ms8000×body80valid