Details

Time bar (total: 1.1m)

sample307.0ms

Algorithm
intervals
Results
223.0ms1973×body80nan
27.0ms258×body80valid

simplify464.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
464.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b
(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)

rewrite59.0ms

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
40.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
17.0ms
(- (log (+ y x)) t)
1.0ms
(fma (- a 0.5) (log t) (log z))

series447.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
223.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
121.0ms
(- (log (+ y x)) t)
104.0ms
(fma (- a 0.5) (log t) (log z))

simplify5.1s

Counts
74 → 104
Calls
74 calls:
Slowest
426.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
409.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
388.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
330.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))
308.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.1b
(+ (- (+ (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)

rewrite297.0ms

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
210.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms
(- (+ (log (+ x y)) (log z)) t)
27.0ms
(* (- a 0.5) (log t))
9.0ms
(+ (log (+ x y)) (log z))

series706.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
266.0ms
(- (+ (log (+ x y)) (log z)) t)
258.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
105.0ms
(+ (log (+ x y)) (log z))
77.0ms
(* (- a 0.5) (log t))

simplify12.4s

Counts
149 → 188
Calls
149 calls:
Slowest
618.0ms
(+ (* (- (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))))
571.0ms
(+ (* (- (* (+ (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))))
530.0ms
(* (/ (* (+ x y) z) (exp t)) (exp (* (- a 0.5) (log t))))
525.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
466.0ms
(+ (* (- (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))))

prune3.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite986.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
96×distribute-lft-out
80×pow1
76×log-pow
56×associate-+l+
40×add-sqr-sqrt
39×prod-diff
34×add-cube-cbrt
29×log-prod
27×fma-def
15×add-log-exp
12×distribute-lft-out--
11×sum-log
10×associate-+r+
8×sqrt-prod
7×associate-+l-
6×distribute-rgt-in log-div distribute-lft-in flip3-+ add-cbrt-cube sqrt-div associate-*l/ add-exp-log flip-+
5×flip3-- associate-*l* flip--
4×expm1-log1p-u associate-*r* frac-add insert-posit16 log1p-expm1-u
3×+-commutative diff-log
2×associate-+r- sqrt-pow1 pow1/2 difference-of-squares
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 196
Calls
4 calls:
Slowest
911.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
38.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
18.0ms
(* (- a 0.5) (log t))
12.0ms
(+ (log (sqrt (+ x y))) (log z))

series834.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
438.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
164.0ms
(+ (log (sqrt (+ x y))) (log z))
148.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
84.0ms
(* (- a 0.5) (log t))

simplify14.7s

Counts
143 → 208
Calls
143 calls:
Slowest
966.0ms
(+ (* (- (pow (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))) (+ (* t t) (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
741.0ms
(+ (* (- (pow (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))) (+ (* t t) (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))
667.0ms
(+ (* (- (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
580.0ms
(+ (* (- (* (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))) (* t t)) (+ a 0.5)) (* (+ (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- (* a a) (* 0.5 0.5)) (log t))))
523.0ms
(* (+ (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (+ a 0.5))

prune3.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize447.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))

rewrite14.0ms

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
8.0ms
(* (cbrt t) (cbrt t))
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
321.0ms
(* (cbrt t) (cbrt t))
291.0ms
(cbrt t)
262.0ms
(cbrt t)
247.0ms
(cbrt t)

simplify945.0ms

Counts
63 → 97
Calls
63 calls:
Slowest
171.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
149.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
112.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
102.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
79.0ms
(* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t))))

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 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

bsearch6.0ms

end0.0ms

sample13.5s

Algorithm
intervals
Results
10.4s56900×body80nan
1.3s8024×body80valid