Details

Time bar (total: 19.0s)

sample52.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
15.0ms256×body80valid

simplify60.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
60.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite82.0ms

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
82.0ms
(* a (+ (+ b c) d))

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(* a (+ (+ b c) d))

simplify1.0s

Counts
19 → 28
Calls
19 calls:
Slowest
419.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
242.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
67.0ms
(+ (* a d) (+ (* a b) (* a c)))
48.0ms
(+ (* a d) (+ (* a b) (* a c)))
48.0ms
(* a (+ (+ b c) d))

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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
28.0ms
(* (+ b c) a)
12.0ms
(+ (* (+ b c) a) (* d a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
39.0ms
(+ (* (+ b c) a) (* d a))
30.0ms
(* (+ b c) a)

simplify1.4s

Counts
19 → 41
Calls
19 calls:
Slowest
565.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
272.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
186.0ms
(* (- (* b b) (* c c)) a)
128.0ms
(* (+ (pow b 3) (pow c 3)) a)
79.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune441.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
0.1b
(sqrt (* (+ b c) a))
0.1b
(sqrt (* (+ b c) a))
0.0b
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))

rewrite182.0ms

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×frac-times swap-sqr associate-*r* associate-*l* insert-posit16
2×associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
Slowest
80.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
80.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))
10.0ms
(sqrt (* (+ b c) a))
10.0ms
(sqrt (* (+ b c) a))

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(sqrt (* (+ b c) a))
118.0ms
(sqrt (* (+ b c) a))
43.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
24.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify5.7s

Counts
99 → 110
Calls
99 calls:
Slowest
820.0ms
(* (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))) (* (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))
294.0ms
(* (exp (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))) (exp (* d a)))
216.0ms
(* (sqrt (* (- (* b b) (* c c)) a)) (sqrt (* (+ (pow b 3) (pow c 3)) a)))
216.0ms
(sqrt (* (+ (pow b 3) (pow c 3)) a))
214.0ms
(* (* (+ b c) a) (* (+ b c) a))

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
0.2b
(* (sqrt (+ b c)) a)
0.0b
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.0b
(sqrt (+ b c))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*l/ add-cube-cbrt
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 86
Calls
4 calls:
Slowest
47.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
36.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
25.0ms
(* (sqrt (+ b c)) a)
4.0ms
(sqrt (+ b c))

series244.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(* (sqrt (+ b c)) a)
67.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
50.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
41.0ms
(sqrt (+ b c))

simplify4.6s

Counts
62 → 98
Calls
62 calls:
Slowest
881.0ms
(* (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))) (* (* (* (sqrt (+ b c)) a) (* (sqrt (+ b c)) a)) (* (sqrt (+ b c)) a)))
800.0ms
(* (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))) (* (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))) (* (* a a) a)))
353.0ms
(* (sqrt (+ (pow b 3) (pow c 3))) (* (sqrt (+ b c)) a))
295.0ms
(* (exp (* (sqrt (+ b c)) (* (sqrt (+ b c)) a))) (exp (* d a)))
270.0ms
(* (sqrt (+ (pow b 3) (pow c 3))) a)

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes393.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
549.0ms8000×pre80true
444.0ms8000×body80valid