Details

Time bar (total: 47.0s)

sample402.0ms

Algorithm
intervals
Results
293.0ms1739×body80nan
44.0ms258×body80valid

simplify380.0ms

Calls
1 calls:
Slowest
379.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
41×distribute-lft-out
35×add-log-exp
33×log-prod
27×pow1 distribute-lft-out--
23×associate-+l+
22×add-sqr-sqrt
21×log-pow
18×sum-log associate--l+
17×associate-*l*
16×add-cube-cbrt
15×associate-+r+
10×diff-log
9×associate-+l-
6×distribute-rgt-in log-div distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
5×flip3-+ flip-+
4×associate--l- +-commutative associate-*r* frac-add insert-posit16
2×sub-neg difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
247.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
36.0ms
(- (+ (log (+ x y)) (log z)) t)
32.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series665.0ms

Calls
4 calls:
Slowest
259.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
227.0ms
(- (+ (log (+ x y)) (log z)) t)
99.0ms
(+ (log (+ x y)) (log z))
79.0ms
(* (- a 0.5) (log t))

simplify16.1s

Calls
124 calls:
Slowest
793.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
598.0ms
(+ (* (- (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))))
472.0ms
(+ (* (- (* (+ (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))))
466.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
431.0ms
(+ (* (- (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))))

prune2.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))

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
8×add-cbrt-cube
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Calls
4 calls:
Slowest
330.0ms
(cbrt z)
299.0ms
(* (cbrt z) (cbrt z))
264.0ms
(cbrt z)
263.0ms
(cbrt z)

simplify1.1s

Calls
66 calls:
Slowest
146.0ms
(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))
142.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
142.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
112.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
85.0ms
(* (* (* (cbrt z) (cbrt z)) (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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

series914.0ms

Calls
4 calls:
Slowest
299.0ms
(cbrt t)
293.0ms
(cbrt t)
231.0ms
(cbrt t)
92.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Calls
38 calls:
Slowest
262.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
147.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
114.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
108.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
72.0ms
(log (+ (pow x 3) (pow y 3)))

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.9b
(pow t 1/3)
0.6b
(+ (log (+ x y)) (log z))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
8×add-log-exp
7×log-prod
6×cbrt-prod
5×add-exp-log distribute-lft-out
4×associate-+l+ sum-log add-cbrt-cube log-pow insert-posit16
3×pow-unpow associate-+r+ unpow-prod-down
2×log-div flip3-+ pow1/3 associate-+l- flip-+
1×pow-to-exp +-commutative pow-pow unpow1/3 pow-exp sqr-pow
Calls
4 calls:
Slowest
16.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series974.0ms

Calls
4 calls:
Slowest
323.0ms
(cbrt t)
276.0ms
(pow t 1/3)
253.0ms
(cbrt t)
122.0ms
(+ (log (+ x y)) (log z))

simplify1.6s

Calls
41 calls:
Slowest
544.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
265.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
149.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
145.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
65.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch6.0ms

end0.0ms

sample13.5s

Algorithm
intervals
Results
10.5s56806×body80nan
1.3s8033×body80valid