Details

Time bar (total: 38.6s)

sample455.0ms

Algorithm
intervals
Results
306.0ms1760×body80nan
45.0ms256×body80valid

simplify453.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
453.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.2b
(* (- a 0.5) (log t))
0.1b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.0b
(- (+ (log (+ x y)) (log z)) t)

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
19×log-prod
18×add-sqr-sqrt
15×pow1
14×add-log-exp
12×add-cube-cbrt
9×associate-+r+ log-pow distribute-lft-out
7×associate-+l+
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- distribute-lft-out--
5×associate-*l* associate-+l-
4×log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16
2×associate--l- +-commutative sub-neg associate--l+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
Slowest
137.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
36.0ms
(- (+ (log (+ x y)) (log z)) t)
16.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series611.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
233.0ms
(- (+ (log (+ x y)) (log z)) t)
231.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
86.0ms
(+ (log (+ x y)) (log z))
61.0ms
(* (- a 0.5) (log t))

simplify7.8s

Counts
79 → 118
Calls
79 calls:
Slowest
588.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
484.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
432.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))
400.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
396.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.5b
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×pow1
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
7×log-pow distribute-lft-out
5×log-prod
4×associate-+l+ add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3
2×log-div flip3-+ pow-prod-down associate-+l- flip-+
1×+-commutative associate-+r+ sum-log
Counts
4 → 61
Calls
4 calls:
Slowest
24.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series871.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
230.0ms
(cbrt z)
225.0ms
(cbrt z)
214.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
202.0ms
(cbrt z)

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
220.0ms
(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
121.0ms
(- (log (pow (/ 1 z) -2/3)) (log (/ 1 x)))
117.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
108.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
100.0ms
(* (cbrt -1) (pow (* z -1) 1/3))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×pow1
7×log-prod
5×distribute-lft-out
4×associate-+l+ add-cbrt-cube add-exp-log log-pow insert-posit16 add-log-exp
3×associate-+r+ pow1/3
2×log-div flip3-+ associate-+l- flip-+
1×+-commutative sum-log
Counts
4 → 61
Calls
4 calls:
Slowest
25.0ms
(+ (log (+ x y)) (log z))
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series972.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
310.0ms
(cbrt t)
285.0ms
(cbrt t)
275.0ms
(cbrt t)
102.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
274.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
159.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
122.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
103.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))
99.0ms
(* (pow (* t -1) 1/3) (cbrt -1))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

5.1b
(pow t 1/3)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
7×log-prod
6×cbrt-prod
5×add-exp-log distribute-lft-out
4×associate-+l+ add-cbrt-cube log-pow insert-posit16 add-log-exp
3×pow-unpow associate-+r+ unpow-prod-down
2×log-div flip3-+ pow1/3 associate-+l- flip-+
1×pow-to-exp +-commutative sum-log pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
Slowest
14.0ms
(+ (log (+ x y)) (log z))
2.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series870.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(cbrt t)
260.0ms
(pow t 1/3)
229.0ms
(cbrt t)
119.0ms
(+ (log (+ x y)) (log z))

simplify1.5s

Counts
38 → 80
Calls
38 calls:
Slowest
545.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
222.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
140.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
81.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune2.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample14.3s

Algorithm
intervals
Results
9.5s56499×body80nan
1.4s8025×body80valid