Details

Time bar (total: 51.5s)

sample336.0ms

Algorithm
intervals
Results
225.0ms1638×body80nan
35.0ms257×body80valid

simplify527.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
527.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma (- a 0.5) (log t) (log z))
0.2b
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0b
(- (log (+ y x)) t)

rewrite62.0ms

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
41.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
18.0ms
(- (log (+ y x)) t)
0.0ms
(fma (- a 0.5) (log t) (log z))

series443.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
214.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
130.0ms
(- (log (+ y x)) t)
98.0ms
(fma (- a 0.5) (log t) (log z))

simplify5.4s

Counts
74 → 104
Calls
74 calls:
Slowest
660.0ms
(- (+ (* a (log t)) (+ (log z) (log x))) (+ t (* 0.5 (log t))))
467.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
391.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
353.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))
315.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.2b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b
(* (- a 0.5) (log t))
0.0b
(- (+ (log (+ x y)) (log z)) t)

rewrite304.0ms

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
207.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
51.0ms
(- (+ (log (+ x y)) (log z)) t)
34.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series691.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
287.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
204.0ms
(- (+ (log (+ x y)) (log z)) t)
104.0ms
(+ (log (+ x y)) (log z))
96.0ms
(* (- a 0.5) (log t))

simplify12.2s

Counts
149 → 188
Calls
149 calls:
Slowest
660.0ms
(+ (* (- (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))))
556.0ms
(+ (* (- (* (+ (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))))
551.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
527.0ms
(+ (* (- (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))))
385.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune2.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
Slowest
31.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series804.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
221.0ms
(cbrt (+ x y))
184.0ms
(cbrt (+ x y))
158.0ms
(cbrt (+ x y))

simplify4.3s

Counts
94 → 119
Calls
94 calls:
Slowest
469.0ms
(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
373.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))
241.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))
208.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (- (* x x) (* y y))))
195.0ms
(- (+ (pow y 1/3) (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3)))) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))

prune2.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×cbrt-prod pow1
7×log-prod
5×log-pow distribute-lft-out
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×associate-+r+ pow1/3
2×log-div flip3-+ associate-+l- flip-+
1×+-commutative sum-log
Counts
4 → 73
Calls
4 calls:
Slowest
18.0ms
(+ (log (+ x y)) (log z))
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series939.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
298.0ms
(cbrt t)
273.0ms
(cbrt t)
265.0ms
(cbrt t)
103.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
37 → 85
Calls
37 calls:
Slowest
311.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
125.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
114.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
110.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
91.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 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

bsearch3.0ms

end0.0ms

sample14.2s

Algorithm
intervals
Results
8.7s56347×body80nan
1.4s8030×body80valid