Details

Time bar (total: 1.3m)

sample570.0ms

Algorithm
intervals
Results
405.0ms2046×body80nan
45.0ms256×body80valid

simplify411.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
410.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (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)

rewrite283.0ms

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
193.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms
(- (+ (log (+ x y)) (log z)) t)
18.0ms
(* (- a 0.5) (log t))
15.0ms
(+ (log (+ x y)) (log z))

series693.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
281.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
227.0ms
(- (+ (log (+ x y)) (log z)) t)
100.0ms
(+ (log (+ x y)) (log z))
86.0ms
(* (- a 0.5) (log t))

simplify19.0s

Counts
133 → 118
Calls
133 calls:
Slowest
664.0ms
(* (* (* (- a 0.5) (log t)) (* (- a 0.5) (log t))) (* (- a 0.5) (log t)))
623.0ms
(+ (* (- (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))))
576.0ms
(* (* (- (+ (log (+ x y)) (log z)) t) (- (+ (log (+ x y)) (log z)) t)) (- (+ (log (+ x y)) (log z)) t))
482.0ms
(+ (* (- (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))))
475.0ms
(cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t))))

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.5b
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

rewrite43.0ms

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
38.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series919.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
295.0ms
(cbrt z)
243.0ms
(cbrt z)
199.0ms
(cbrt z)
181.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify3.7s

Counts
80 → 73
Calls
80 calls:
Slowest
801.0ms
(* (* (+ (log (+ x y)) (log (* (cbrt z) (cbrt z)))) (+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))) (+ (log (+ x y)) (log (* (cbrt z) (cbrt z)))))
415.0ms
(+ (* (log (+ x y)) (log (+ x y))) (- (* (log (* (cbrt z) (cbrt z))) (log (* (cbrt z) (cbrt z)))) (* (log (+ x y)) (log (* (cbrt z) (cbrt z))))))
332.0ms
(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
304.0ms
(+ (pow (log (+ x y)) 3) (pow (log (* (cbrt z) (cbrt z))) 3))
205.0ms
(- (* (log (+ x y)) (log (+ x y))) (* (log (* (cbrt z) (cbrt z))) (log (* (cbrt z) (cbrt z)))))

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite815.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
20×*-un-lft-identity frac-add
18×add-sqr-sqrt
16×pow1 flip3-- flip-- add-log-exp
12×associate-*l*
10×associate-*r* log-pow add-cube-cbrt
9×sum-log
8×add-cbrt-cube add-exp-log
7×associate-+r+ log-prod
6×distribute-rgt-in sub-neg distribute-lft-in
5×associate-+l+ flip3-+ flip-+ distribute-lft-out
4×associate-+l- insert-posit16
2×+-commutative log-div sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 118
Calls
4 calls:
Slowest
728.0ms
(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
34.0ms
(* (log (sqrt t)) (- a 0.5))
33.0ms
(* (log (sqrt t)) (- a 0.5))
18.0ms
(+ (log (+ x y)) (log z))

series667.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
411.0ms
(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
89.0ms
(+ (log (+ x y)) (log z))
85.0ms
(* (log (sqrt t)) (- a 0.5))
81.0ms
(* (log (sqrt t)) (- a 0.5))

simplify24.7s

Counts
152 → 130
Calls
152 calls:
Slowest
1.0s
(+ (* (+ (* (- (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))) (* (log (sqrt t)) (- (* 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))) (+ a 0.5)) (* (log (sqrt t)) (- (* a a) (* 0.5 0.5)))))
895.0ms
(+ (* (+ (pow (- (+ (log (+ x y)) (log z)) t) 3) (pow (* (log (sqrt t)) (- a 0.5)) 3)) (+ a 0.5)) (* (+ (* (- (+ (log (+ x y)) (log z)) t) (- (+ (log (+ x y)) (log z)) t)) (- (* (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))) (* (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))))) (* (log (sqrt t)) (- (* a a) (* 0.5 0.5)))))
766.0ms
(* (* (exp (- (+ (log (+ x y)) (log z)) t)) (exp (* (log (sqrt t)) (- a 0.5)))) (exp (* (log (sqrt t)) (- a 0.5))))
758.0ms
(+ (* (- (* (- (+ (log (+ x y)) (log z)) t) (- (+ (log (+ x y)) (log z)) t)) (* (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5)))) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (- (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- (pow a 3) (pow 0.5 3)))))
727.0ms
(* (* (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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
15.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series978.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(cbrt t)
280.0ms
(cbrt t)
274.0ms
(cbrt t)
127.0ms
(+ (log (+ x y)) (log z))

simplify2.2s

Counts
80 → 73
Calls
80 calls:
Slowest
368.0ms
(+ (pow (log (+ x y)) 3) (pow (log z) 3))
260.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
219.0ms
(* (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (log (+ x y)) (log z)))
134.0ms
(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))
130.0ms
(* (pow (* t -1) 1/3) (cbrt -1))

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample14.2s

Algorithm
intervals
Results
10.2s55732×body80nan
1.6s8027×body80valid