Details

Time bar (total: 39.7s)

sample358.0ms

Algorithm
intervals
Results
230.0ms1859×body80nan
68.0ms256×body80valid

simplify393.0ms

Calls
1 calls:
Slowest
393.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (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)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
19×log-prod
18×add-sqr-sqrt
15×pow1
14×add-log-exp
12×add-cube-cbrt
9×associate-+r+ log-pow distribute-lft-out
7×associate-+l+
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- distribute-lft-out--
5×associate-*l* associate-+l-
4×log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16
2×associate--l- +-commutative sub-neg associate--l+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
156.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
41.0ms
(- (+ (log (+ x y)) (log z)) t)
20.0ms
(* (- a 0.5) (log t))
8.0ms
(+ (log (+ x y)) (log z))

series712.0ms

Calls
4 calls:
Slowest
285.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
246.0ms
(- (+ (log (+ x y)) (log z)) t)
93.0ms
(+ (log (+ x y)) (log z))
88.0ms
(* (- a 0.5) (log t))

simplify7.9s

Calls
79 calls:
Slowest
649.0ms
(+ (* (- (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))))
577.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 1.5 (log -1)))) (+ (* a (log (/ -1 t))) (+ (log (/ -1 z)) (+ t (log (/ -1 x))))))
481.0ms
(+ (* (- (* (+ (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))))
428.0ms
(+ (* (- (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))))
411.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))

rewrite10.0ms

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×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Calls
4 calls:
Slowest
299.0ms
(cbrt z)
287.0ms
(* (cbrt z) (cbrt z))
260.0ms
(cbrt z)
252.0ms
(cbrt z)

simplify867.0ms

Calls
63 calls:
Slowest
145.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
123.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
118.0ms
(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))
104.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
85.0ms
(* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (* (cbrt (cbrt z)) (cbrt (cbrt z))))

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

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))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×pow1
7×log-prod
5×distribute-lft-out
4×associate-+l+ add-cbrt-cube add-exp-log log-pow insert-posit16 add-log-exp
3×associate-+r+ pow1/3
2×log-div flip3-+ associate-+l- flip-+
1×+-commutative sum-log
Calls
4 calls:
Slowest
17.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series943.0ms

Calls
4 calls:
Slowest
292.0ms
(cbrt t)
281.0ms
(cbrt t)
261.0ms
(cbrt t)
108.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Calls
35 calls:
Slowest
268.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
145.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
114.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
112.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
90.0ms
(log (- (* x x) (* y y)))

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

5.0b
(pow (/ 1 t) -1/3)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
13×unpow-prod-down
10×pow1
9×times-frac add-exp-log
7×log-prod
6×cbrt-prod
5×distribute-lft-out
4×associate-+l+ add-cbrt-cube pow-exp log-pow insert-posit16 add-log-exp
3×pow-unpow associate-+r+ pow-pow
2×log-div flip3-+ pow1/3 div-exp associate-+l- flip-+
1×pow-to-exp +-commutative rec-exp sum-log 1-exp div-inv pow-flip inv-pow sqr-pow
Calls
4 calls:
Slowest
16.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow (/ 1 t) -1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series955.0ms

Calls
4 calls:
Slowest
331.0ms
(pow (/ 1 t) -1/3)
273.0ms
(cbrt t)
250.0ms
(cbrt t)
101.0ms
(+ (log (+ x y)) (log z))

simplify3.0s

Calls
52 calls:
Slowest
517.0ms
(exp (* -1/3 (+ (log (/ -1 t)) (log -1))))
278.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
268.0ms
(pow (/ 1 (* (cbrt t) (cbrt t))) -1/3)
264.0ms
(pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt t) (cbrt t))) -1/3)
246.0ms
(pow (/ (* (cbrt 1) (cbrt 1)) (sqrt t)) -1/3)

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.7s

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
10.2s57149×body80nan
1.6s8026×body80valid