Details

Time bar (total: 39.5s)

sample58.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
17.0ms256×body80valid

simplify88.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
88.0ms
(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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
47.0ms
(* a (+ (+ b c) d))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(* a (+ (+ b c) d))

simplify927.0ms

Counts
19 → 28
Calls
19 calls:
Slowest
388.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
195.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
48.0ms
(* a (+ (+ b c) d))
48.0ms
(+ (* a d) (+ (* a b) (* a c)))
42.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))
0.3b
(* (sqrt a) (+ (+ b c) d))

rewrite149.0ms

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×flip3-+ *-commutative flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
Slowest
81.0ms
(* (sqrt a) (+ (+ b c) d))
67.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
104.0ms
(* (sqrt a) (+ (+ b c) d))
59.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify2.6s

Counts
45 → 63
Calls
45 calls:
Slowest
474.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d))))
453.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d))) (* (sqrt a) (+ (+ b c) d))))
329.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
220.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
218.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

prune555.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1
41×pow-prod-down
30×add-sqr-sqrt
29×sqrt-prod
28×*-un-lft-identity
21×sqrt-pow1 pow1/2
20×add-cbrt-cube add-exp-log
18×sqrt-div associate-*r/
17×associate-*r*
13×associate-*l* add-cube-cbrt
10×prod-exp cbrt-unprod
9×flip3-+ flip-+ distribute-lft-out
8×pow-prod-up unswap-sqr
7×sqrt-unprod
6×pow-sqr
4×frac-times insert-posit16 add-log-exp
3×*-commutative
2×pow-plus associate-*l/
1×pow2 rem-sqrt-square rem-square-sqrt swap-sqr
Counts
4 → 141
Calls
4 calls:
Slowest
179.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))
78.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
69.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
26.0ms
(sqrt (+ (+ b c) d))

series634.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
230.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
91.0ms
(sqrt (+ (+ b c) d))
63.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify8.6s

Counts
144 → 153
Calls
144 calls:
Slowest
541.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
466.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
399.0ms
(* (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))) (* (* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d)))) (* (sqrt a) (sqrt (+ (+ b c) d)))))
344.0ms
(* (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))) (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))))
326.0ms
(* (* (* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d)))) (* (sqrt a) (sqrt (+ (+ b c) d)))) (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))))

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
0.6b
(* a (+ (pow (+ b c) 3) (pow d 3)))
0.0b
(pow (+ b c) 3)
0.0b
(* (+ b c) (+ b c))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
22×flip3-+ flip-+
21×distribute-lft-out
19×add-sqr-sqrt
18×associate-/r/
17×associate-*r*
16×frac-add
15×add-cube-cbrt
14×pow1 add-cbrt-cube add-exp-log
12×frac-times unpow-prod-down cube-prod
10×associate-*r/
8×flip3-- flip--
7×associate-*l*
6×swap-sqr associate-*l/
4×insert-posit16 add-log-exp
3×pow-unpow associate-/r* times-frac prod-exp cbrt-unprod
2×cube-div distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down *-commutative unswap-sqr associate-/l/
1×pow2 cube-mult pow-to-exp clear-num pow-pow frac-2neg pow-plus unpow3 pow-exp pow-sqr sum-cubes pow-prod-up div-inv associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 144
Calls
4 calls:
Slowest
115.0ms
(* a (+ (pow (+ b c) 3) (pow d 3)))
93.0ms
(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
25.0ms
(* (+ b c) (+ b c))
6.0ms
(pow (+ b c) 3)

series843.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
445.0ms
(* a (+ (pow (+ b c) 3) (pow d 3)))
335.0ms
(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
44.0ms
(pow (+ b c) 3)
18.0ms
(* (+ b c) (+ b c))

simplify18.3s

Counts
126 → 156
Calls
126 calls:
Slowest
726.0ms
(* (* (- b c) (+ (* b b) (- (* c c) (* b c)))) (+ (* d d) (* (+ b c) d)))
635.0ms
(pow (- (* b b) (* c c)) 3)
629.0ms
(* (* (* a a) a) (* (* (+ (pow (+ b c) 3) (pow d 3)) (+ (pow (+ b c) 3) (pow d 3))) (+ (pow (+ b c) 3) (pow d 3))))
618.0ms
(* (* (- b c) (+ (* b b) (- (* c c) (* b c)))) (+ (* (* d d) (* d d)) (+ (* (* (+ b c) d) (* (+ b c) d)) (* (* d d) (* (+ b c) d)))))
470.0ms
(* (* (- b c) (- b c)) (+ (* d d) (* (+ b c) d)))

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes387.0ms

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
613.0ms8000×pre80true
449.0ms8000×body80valid