Details

Time bar (total: 45.4s)

sample381.0ms

Algorithm
intervals
Results
233.0ms1693×body80nan
40.0ms257×body80valid

simplify399.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
399.0ms
(+ (- (+ (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: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.1b
(* (- 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)

rewrite245.0ms

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
155.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
42.0ms
(- (+ (log (+ x y)) (log z)) t)
31.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series698.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
229.0ms
(- (+ (log (+ x y)) (log z)) t)
84.0ms
(+ (log (+ x y)) (log z))
81.0ms
(* (- a 0.5) (log t))

simplify7.3s

Counts
79 → 118
Calls
79 calls:
Slowest
581.0ms
(+ (* (- (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))))
451.0ms
(+ (* (- (* (+ (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))))
394.0ms
(+ (* (- (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))))
346.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
342.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ a 0.5)) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (* a a) (* 0.5 0.5)) (log t))))

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

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))

rewrite14.0ms

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
9.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
354.0ms
(cbrt t)
282.0ms
(cbrt t)
277.0ms
(cbrt t)
106.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
244.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
172.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
145.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
109.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
90.0ms
(log (- (* x x) (* y y)))

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

5.0b
(pow t 1/3)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite24.0ms

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
16.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
446.0ms
(+ (log (+ x y)) (log z))
279.0ms
(cbrt t)
272.0ms
(cbrt t)
261.0ms
(pow t 1/3)

simplify1.7s

Counts
38 → 80
Calls
38 calls:
Slowest
563.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
274.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
172.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
94.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×log-prod
19×add-sqr-sqrt
14×add-log-exp
13×add-cube-cbrt
9×pow1 associate-+l+
7×associate-+r+ sum-log
6×distribute-rgt-in distribute-lft-in flip3-- add-cbrt-cube associate-*l/ associate--l+ add-exp-log flip--
5×associate-*l*
4×associate-*r* frac-add associate-+l- insert-posit16
3×flip3-+ diff-log log-pow flip-+ distribute-lft-out distribute-lft-out--
2×+-commutative log-div sub-neg difference-of-squares
1×associate-+r- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 102
Calls
4 calls:
Slowest
113.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
50.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
32.0ms
(* (- a 0.5) (log t))
12.0ms
(- (log z) t)

series599.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
281.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
139.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
101.0ms
(- (log z) t)
77.0ms
(* (- a 0.5) (log t))

simplify8.4s

Counts
75 → 114
Calls
75 calls:
Slowest
696.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
445.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
415.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
400.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
354.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 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

bsearch6.0ms

end0.0ms

sample14.0s

Algorithm
intervals
Results
9.0s55842×body80nan
1.3s8029×body80valid