Details

Time bar (total: 56.4s)

sample671.0ms

Algorithm
intervals
Results
544.0ms1934×body80nan
34.0ms257×body80valid

simplify396.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
396.0ms
(+ (- (+ (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

localize39.0ms

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)

rewrite236.0ms

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
167.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
42.0ms
(- (+ (log (+ x y)) (log z)) t)
15.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series704.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
276.0ms
(- (+ (log (+ x y)) (log z)) t)
264.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
87.0ms
(+ (log (+ x y)) (log z))
77.0ms
(* (- a 0.5) (log t))

simplify7.5s

Counts
79 → 118
Calls
79 calls:
Slowest
643.0ms
(+ (* (- (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))))
458.0ms
(+ (* (- (* (+ (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))))
423.0ms
(+ (* (- (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))
361.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

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
86.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
56.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
32.0ms
(* (- a 0.5) (log t))
11.0ms
(- (log z) t)

series521.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
128.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
95.0ms
(- (log z) t)
60.0ms
(* (- a 0.5) (log t))

simplify8.5s

Counts
75 → 114
Calls
75 calls:
Slowest
726.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
459.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
439.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
389.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
370.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (* a (log (/ 1 t))))))

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
29×log-prod
19×add-sqr-sqrt associate-+l+ add-log-exp
16×sum-log
15×add-cube-cbrt
14×distribute-lft-out
13×pow1
9×associate-+l-
8×associate-+r+ sqrt-prod
7×log-pow
6×distribute-rgt-in log-div distribute-lft-in flip3-+ add-cbrt-cube sqrt-div associate-*l/ add-exp-log flip-+
5×associate-+r- flip3-- associate-*l* flip--
4×associate-*r* frac-add insert-posit16
3×+-commutative diff-log associate--l+
1×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 120
Calls
4 calls:
Slowest
220.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
81.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
55.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
31.0ms
(* (- a 0.5) (log t))

series861.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
364.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
317.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
115.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
65.0ms
(* (- a 0.5) (log t))

simplify11.4s

Counts
93 → 132
Calls
93 calls:
Slowest
727.0ms
(- (log (sqrt (- x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
651.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
461.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
430.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
411.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune2.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

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))

rewrite15.0ms

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
11.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series965.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
318.0ms
(cbrt t)
309.0ms
(cbrt t)
261.0ms
(cbrt t)
76.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
256.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
147.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
129.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
89.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
89.0ms
(log (- (* x x) (* y y)))

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch5.0ms

end0.0ms

sample14.0s

Algorithm
intervals
Results
10.0s56567×body80nan
2.2s8028×body80valid