Details

Time bar (total: 49.1s)

sample393.0ms

Algorithm
intervals
Results
270.0ms1623×body80nan
39.0ms257×body80valid

simplify373.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
373.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune11.0ms

Pruning

1 alts after pruning (1 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)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
19×log-prod *-un-lft-identity
15×add-sqr-sqrt
11×add-cube-cbrt
10×pow1 add-log-exp
9×associate-+r+
7×associate-+l+
6×distribute-rgt-in distribute-lft-in associate-*l/
5×sum-log flip3-- add-cbrt-cube associate-*l* add-exp-log log-pow flip-- distribute-lft-out
4×associate-*r* frac-add
3×flip3-+ associate-+l- flip-+ insert-posit16
2×+-commutative log-div diff-log
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 83
Calls
3 calls:
Slowest
161.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
18.0ms
(+ (log (+ x y)) (log z))
17.0ms
(* (- a 0.5) (log t))

series474.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
286.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
99.0ms
(+ (log (+ x y)) (log z))
89.0ms
(* (- a 0.5) (log t))

simplify7.2s

Counts
64 → 92
Calls
64 calls:
Slowest
666.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
640.0ms
(+ (* (- (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))))
469.0ms
(+ (* (- (* (+ (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))))
453.0ms
(+ (* (- (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))))
451.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×pow1
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
7×log-pow distribute-lft-out
5×log-prod
4×associate-+l+ add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3
2×log-div flip3-+ pow-prod-down associate-+l- flip-+
1×+-commutative associate-+r+ sum-log
Counts
4 → 61
Calls
4 calls:
Slowest
25.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
5.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
308.0ms
(cbrt z)
303.0ms
(cbrt z)
272.0ms
(cbrt z)
230.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify1.8s

Counts
35 → 73
Calls
35 calls:
Slowest
526.0ms
(- (log (pow (/ 1 z) -2/3)) (log (/ 1 x)))
243.0ms
(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
175.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
153.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
145.0ms
(* (cbrt -1) (pow (* z -1) 1/3))

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

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)))

rewrite74.0ms

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×frac-times add-cbrt-cube insert-posit16 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 → 99
Calls
4 calls:
Slowest
56.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series767.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
206.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
200.0ms
(cbrt (+ x y))
185.0ms
(cbrt (+ x y))
176.0ms
(cbrt (+ x y))

simplify4.1s

Counts
94 → 111
Calls
94 calls:
Slowest
430.0ms
(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
310.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))
292.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))
206.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (- (* x x) (* y y))))
174.0ms
(- (+ (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))))

prune2.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

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)))

rewrite724.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
29×log-prod
24×pow1 distribute-lft-out
19×add-sqr-sqrt
18×log-pow
17×associate-+l+
15×add-cube-cbrt add-log-exp
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×associate-*r* frac-add insert-posit16
3×+-commutative diff-log
2×associate-+r-
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 122
Calls
4 calls:
Slowest
625.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
47.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
33.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (sqrt (+ x y))) (log z))

series809.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
415.0ms
(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
177.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
138.0ms
(+ (log (sqrt (+ x y))) (log z))
79.0ms
(* (- a 0.5) (log t))

simplify8.1s

Counts
95 → 134
Calls
95 calls:
Slowest
998.0ms
(+ (* (- (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))))
669.0ms
(+ (* (- (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))))
578.0ms
(+ (* (- (* (+ (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))))
513.0ms
(* (+ (* (+ (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) (* a 0.5))))
428.0ms
(* (+ (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (+ a 0.5))

prune2.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample14.2s

Algorithm
intervals
Results
9.4s56509×body80nan
1.4s8034×body80valid