Details

Time bar (total: 1.0m)

sample356.0ms

Algorithm
intervals
Results
232.0ms1623×body80nan
37.0ms257×body80valid

simplify531.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
531.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 3 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)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
29×add-sqr-sqrt
28×associate-+l+
27×pow1
23×add-cube-cbrt
22×log-pow
21×prod-diff distribute-lft-out
19×log-prod
13×fma-def
10×add-log-exp
9×associate-+r+
6×distribute-rgt-in distribute-lft-in associate-*l/ distribute-lft-out--
5×sum-log flip3-- add-cbrt-cube associate-*l* add-exp-log flip--
4×associate-*r* frac-add
3×expm1-log1p-u flip3-+ associate-+l- flip-+ insert-posit16 log1p-expm1-u
2×+-commutative log-div diff-log difference-of-squares
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
3 → 123
Calls
3 calls:
Slowest
183.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
26.0ms
(* (- a 0.5) (log t))
16.0ms
(+ (log (+ x y)) (log z))

series470.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
300.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
91.0ms
(+ (log (+ x y)) (log z))
79.0ms
(* (- a 0.5) (log t))

simplify9.1s

Counts
90 → 132
Calls
90 calls:
Slowest
627.0ms
(+ (* (- (* (+ (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))))
617.0ms
(+ (* (- (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))))
563.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 1.5 (log -1)))) (+ (* a (log (/ -1 t))) (+ (log (/ -1 z)) (+ t (log (/ -1 x))))))
509.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
471.0ms
(+ (* (- (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))))

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite64.0ms

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
47.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series738.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
199.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
189.0ms
(cbrt (+ x y))
179.0ms
(cbrt (+ x y))
171.0ms
(cbrt (+ x y))

simplify4.6s

Counts
94 → 119
Calls
94 calls:
Slowest
406.0ms
(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
388.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))
286.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))
238.0ms
(* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))
209.0ms
(- (+ (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))))

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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

rewrite943.0ms

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
867.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
37.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
21.0ms
(* (- a 0.5) (log t))
10.0ms
(+ (log (sqrt (+ x y))) (log z))

series823.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
409.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
162.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
155.0ms
(+ (log (sqrt (+ x y))) (log z))
97.0ms
(* (- a 0.5) (log t))

simplify14.9s

Counts
143 → 208
Calls
143 calls:
Slowest
980.0ms
(+ (* (- (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))))
718.0ms
(+ (* (- (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))))
582.0ms
(+ (* (- (* (+ (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))))
582.0ms
(* (+ (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (+ a 0.5))
567.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune3.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
22×cbrt-prod
17×add-cube-cbrt
16×pow1
8×pow1/3
7×log-prod
6×swap-sqr associate-*r* associate-*l* add-exp-log
5×log-pow distribute-lft-out
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×associate-+r+
2×log-div flip3-+ pow-prod-down pow-sqr pow-prod-up associate-+l- flip-+
1×pow2 +-commutative sum-log pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
Slowest
9.0ms
(+ (log (+ x y)) (log z))
8.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series996.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
315.0ms
(cbrt t)
305.0ms
(* (cbrt t) (cbrt t))
281.0ms
(cbrt t)
94.0ms
(+ (log (+ x y)) (log z))

simplify1.5s

Counts
76 → 114
Calls
76 calls:
Slowest
325.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
153.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
144.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
119.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
98.0ms
(log (+ (pow x 3) (pow y 3)))

prune2.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample14.4s

Algorithm
intervals
Results
10.0s56509×body80nan
1.9s8034×body80valid