Details

Time bar (total: 53.0s)

sample394.0ms

Algorithm
intervals
Results
270.0ms2186×body80nan
35.0ms256×body80valid

simplify349.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
349.0ms
(+ (- (+ (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

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)

rewrite249.0ms

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
174.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
48.0ms
(- (+ (log (+ x y)) (log z)) t)
16.0ms
(* (- a 0.5) (log t))
8.0ms
(+ (log (+ x y)) (log z))

series666.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
249.0ms
(- (+ (log (+ x y)) (log z)) t)
229.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
113.0ms
(+ (log (+ x y)) (log z))
74.0ms
(* (- a 0.5) (log t))

simplify7.9s

Counts
79 → 118
Calls
79 calls:
Slowest
670.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))
466.0ms
(+ (* (- (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))))
456.0ms
(+ (* (- (* (+ (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))))
451.0ms
(+ (* (- (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))))
376.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×log-prod
19×add-sqr-sqrt
13×pow1 add-cube-cbrt add-log-exp
11×associate-+r+
7×sum-log log-pow associate-+l- distribute-lft-out distribute-lft-out--
6×distribute-rgt-in distribute-lft-in flip3-+ add-cbrt-cube associate-*l/ associate--l+ add-exp-log flip-+
5×associate-+l+ associate-*l*
4×log-div flip3-- associate-*r* frac-add insert-posit16 flip--
3×diff-log
2×+-commutative associate-+r- sub-neg difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
Slowest
155.0ms
(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
38.0ms
(* (- a 0.5) (log t))
16.0ms
(+ (log (+ x y)) (- (log z) t))
12.0ms
(- (log z) t)

series661.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
260.0ms
(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
246.0ms
(+ (log (+ x y)) (- (log z) t))
82.0ms
(- (log z) t)
73.0ms
(* (- a 0.5) (log t))

simplify8.2s

Counts
80 → 120
Calls
80 calls:
Slowest
563.0ms
(+ (* (+ (pow (log (+ x y)) 3) (pow (- (log z) t) 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (log (+ x y)) (log (+ x y))) (- (* (- (log z) t) (- (log z) t)) (* (log (+ x y)) (- (log z) t)))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
520.0ms
(* (+ (* (log (+ x y)) (log (+ x y))) (- (* (- (log z) t) (- (log z) t)) (* (log (+ x y)) (- (log z) t)))) (+ a 0.5))
510.0ms
(+ (* (- (* (log (+ x y)) (log (+ x y))) (* (- (log z) t) (- (log z) 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
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
403.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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
36.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(cbrt z)
309.0ms
(cbrt z)
273.0ms
(cbrt z)
178.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify1.9s

Counts
35 → 73
Calls
35 calls:
Slowest
498.0ms
(- (log (pow (/ 1 z) -2/3)) (log (/ 1 x)))
286.0ms
(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
152.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
152.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
143.0ms
(* (cbrt -1) (pow (* z -1) 1/3))

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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
82.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
32.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
22.0ms
(* (- a 0.5) (log t))
11.0ms
(- (log z) t)

series571.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
276.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
138.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
83.0ms
(- (log z) t)
74.0ms
(* (- a 0.5) (log t))

simplify9.5s

Counts
75 → 114
Calls
75 calls:
Slowest
761.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
733.0ms
(* (+ (* (log z) (log z)) (+ (* t t) (* (log z) t))) (+ a 0.5))
518.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
455.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
444.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes972.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample13.5s

Algorithm
intervals
Results
10.1s56548×body80nan
1.7s8039×body80valid