Details

Time bar (total: 56.7s)

sample480.0ms

Algorithm
intervals
Results
361.0ms2186×body80nan
39.0ms256×body80valid

simplify499.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
499.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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)

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
48×pow1
43×add-sqr-sqrt
42×prod-diff log-pow
41×distribute-lft-out
35×add-cube-cbrt
28×associate-+l+
19×log-prod
14×add-log-exp
13×fma-def
11×distribute-lft-out--
9×associate-+r+
7×fma-neg
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
5×associate-*l* associate-+l-
4×expm1-log1p-u log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16 log1p-expm1-u
3×difference-of-squares
2×associate--l- +-commutative sub-neg associate--l+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 176
Calls
4 calls:
Slowest
209.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
42.0ms
(- (+ (log (+ x y)) (log z)) t)
24.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series788.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
309.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
284.0ms
(- (+ (log (+ x y)) (log z)) t)
122.0ms
(+ (log (+ x y)) (log z))
73.0ms
(* (- a 0.5) (log t))

simplify12.0s

Counts
149 → 188
Calls
149 calls:
Slowest
686.0ms
(+ (* (- (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))))
549.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
478.0ms
(+ (* (- (* (+ (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))))
408.0ms
(+ (* (- (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))))
384.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune3.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
36×add-sqr-sqrt
30×add-cube-cbrt
26×pow1
24×prod-diff
23×associate-+r+
22×log-prod
20×log-pow
13×fma-def distribute-lft-out add-log-exp
11×distribute-lft-out--
7×sum-log associate-+l-
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×expm1-log1p-u log-div flip3-- fma-neg associate-*r* frac-add insert-posit16 log1p-expm1-u 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 → 157
Calls
4 calls:
Slowest
128.0ms
(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
24.0ms
(+ (log (+ x y)) (- (log z) t))
16.0ms
(* (- a 0.5) (log t))
7.0ms
(- (log z) t)

series718.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
235.0ms
(+ (log (+ x y)) (- (log z) t))
96.0ms
(* (- a 0.5) (log t))
72.0ms
(- (log z) t)

simplify9.6s

Counts
122 → 169
Calls
122 calls:
Slowest
914.0ms
(+ (* (+ (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))))
568.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
513.0ms
(* (+ (* (log (+ x y)) (log (+ x y))) (- (* (- (log z) t) (- (log z) t)) (* (log (+ x y)) (- (log z) t)))) (+ a 0.5))
487.0ms
(+ (* (- (* (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))))
404.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

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))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×log-pow
7×distribute-lft-out
5×log-prod
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×log-div flip3-+ pow-prod-down associate-+l- flip-+
1×+-commutative associate-+r+ sum-log
Counts
4 → 73
Calls
4 calls:
Slowest
34.0ms
(+ (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
304.0ms
(cbrt z)
281.0ms
(cbrt z)
277.0ms
(cbrt z)
217.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify1.5s

Counts
37 → 85
Calls
37 calls:
Slowest
270.0ms
(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
175.0ms
(- (log (pow (/ 1 z) -2/3)) (log (/ 1 x)))
150.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
146.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
142.0ms
(* (cbrt -1) (pow (* z -1) 1/3))

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.4b
(fma (- a 0.5) (log t) (log z))
0.1b
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0b
(- (log (+ y x)) t)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
25×add-sqr-sqrt
24×prod-diff
21×add-cube-cbrt
18×associate-+l+
13×pow1
10×log-pow
8×log-prod associate--l+ add-log-exp
6×fma-def distribute-lft-out--
5×distribute-lft-out
4×fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×associate--l- log-div sum-log sub-neg flip3-+ diff-log flip-+ fma-udef difference-of-squares
1×+-commutative associate-+r+ flip3-- associate-+l- flip--
Counts
3 → 95
Calls
3 calls:
Slowest
66.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
13.0ms
(- (log (+ y x)) t)
1.0ms
(fma (- a 0.5) (log t) (log z))

series454.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
224.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
125.0ms
(- (log (+ y x)) t)
106.0ms
(fma (- a 0.5) (log t) (log z))

simplify5.1s

Counts
74 → 104
Calls
74 calls:
Slowest
454.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
400.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
378.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
308.0ms
(- (log -1) (+ t (log (/ -1 y))))
279.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

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
10.5s56548×body80nan
1.3s8039×body80valid