Details

Time bar (total: 1.6m)

sample404.0ms

Algorithm
intervals
Results
244.0ms1692×body80nan
47.0ms259×body80valid

simplify388.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
388.0ms
(+ (- (+ (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

localize49.0ms

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)

rewrite54.0ms

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
35.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
15.0ms
(- (log (+ y x)) t)
1.0ms
(fma (- a 0.5) (log t) (log z))

series450.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
227.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
121.0ms
(- (log (+ y x)) t)
102.0ms
(fma (- a 0.5) (log t) (log z))

simplify14.6s

Counts
114 → 104
Calls
114 calls:
Slowest
599.0ms
(+ (* (- (log (+ y x)) t) (- (log (+ y x)) t)) (- (* (fma (- a 0.5) (log t) (log z)) (fma (- a 0.5) (log t) (log z))) (* (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))))
509.0ms
(+ (fma (- (cbrt t)) (* (cbrt t) (cbrt t)) (* (cbrt t) (* (cbrt t) (cbrt t)))) (fma (- a 0.5) (log t) (log z)))
460.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
458.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
435.0ms
(- (* (- (log (+ y x)) t) (- (log (+ y x)) t)) (* (fma (- a 0.5) (log t) (log z)) (fma (- a 0.5) (log t) (log z))))

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (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)

rewrite302.0ms

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
196.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms
(- (+ (log (+ x y)) (log z)) t)
30.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series748.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
302.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
236.0ms
(- (+ (log (+ x y)) (log z)) t)
107.0ms
(+ (log (+ x y)) (log z))
102.0ms
(* (- a 0.5) (log t))

simplify28.2s

Counts
211 → 188
Calls
211 calls:
Slowest
815.0ms
(real->posit16 (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t))))
792.0ms
(* (* (* (- a 0.5) (log t)) (* (- a 0.5) (log t))) (* (- a 0.5) (log t)))
711.0ms
(* (* (- (+ (log (+ x y)) (log z)) t) (- (+ (log (+ x y)) (log z)) t)) (- (+ (log (+ x y)) (log z)) t))
614.0ms
(+ (* (- (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))))
540.0ms
(sqrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t))))

prune2.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
34×associate-+l+
23×add-sqr-sqrt log-pow
22×pow1
21×log-prod add-cube-cbrt
20×distribute-lft-out
18×prod-diff
13×add-log-exp
12×fma-def sqrt-prod
8×distribute-lft-out--
7×sum-log associate--l+
5×sqrt-pow1 pow1/2 add-exp-log
4×expm1-log1p-u log-div flip3-+ add-cbrt-cube sqrt-div associate-+l- flip-+ insert-posit16 log1p-expm1-u
2×+-commutative associate-+r+ diff-log fma-udef
1×associate-+r- sub-neg rem-log-exp difference-of-squares
Counts
4 → 128
Calls
4 calls:
Slowest
124.0ms
(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
49.0ms
(+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))
4.0ms
(log (sqrt (+ y x)))
0.0ms
(fma (- a 0.5) (log t) (log z))

series815.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
251.0ms
(+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))
103.0ms
(log (sqrt (+ y x)))
99.0ms
(fma (- a 0.5) (log t) (log z))

simplify23.2s

Counts
138 → 140
Calls
138 calls:
Slowest
1.0s
(+ (pow (log (sqrt (+ y x))) 3) (pow (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))) 3))
622.0ms
(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
613.0ms
(+ (* (- (log (sqrt (+ y x))) t) (- (log (sqrt (+ y x))) t)) (- (* (fma (- a 0.5) (log t) (log z)) (fma (- a 0.5) (log t) (log z))) (* (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))))
439.0ms
(- (* (- (log (sqrt (+ y x))) t) (- (log (sqrt (+ y x))) t)) (* (fma (- a 0.5) (log t) (log z)) (fma (- a 0.5) (log t) (log z))))
415.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.4b
(* (cbrt t) (cbrt t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
14.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
358.0ms
(cbrt t)
314.0ms
(cbrt t)
280.0ms
(cbrt t)
250.0ms
(* (cbrt t) (cbrt t))

simplify1.3s

Counts
111 → 97
Calls
111 calls:
Slowest
128.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
122.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
119.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
118.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
93.0ms
(* (* (* (cbrt t) (cbrt t)) (* (cbrt t) (cbrt t))) (* (cbrt t) (cbrt t)))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample14.4s

Algorithm
intervals
Results
9.5s56222×body80nan
1.8s8034×body80valid