Details

Time bar (total: 46.5s)

sample411.0ms

Algorithm
intervals
Results
295.0ms1859×body80nan
44.0ms256×body80valid

simplify563.0ms

Calls
1 calls:
Slowest
563.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize53.0ms

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)

rewrite272.0ms

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
Calls
4 calls:
Slowest
157.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms
(- (+ (log (+ x y)) (log z)) t)
32.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series707.0ms

Calls
4 calls:
Slowest
282.0ms
(- (+ (log (+ x y)) (log z)) t)
244.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
104.0ms
(+ (log (+ x y)) (log z))
77.0ms
(* (- a 0.5) (log t))

simplify11.7s

Calls
149 calls:
Slowest
656.0ms
(+ (* (- (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))))
559.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
483.0ms
(+ (* (- (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))))
454.0ms
(+ (* (- (* (+ (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))))
401.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune2.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

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))

rewrite21.0ms

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
Calls
4 calls:
Slowest
16.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Calls
4 calls:
Slowest
318.0ms
(* (cbrt z) (cbrt z))
279.0ms
(cbrt z)
256.0ms
(cbrt z)
244.0ms
(cbrt z)

simplify933.0ms

Calls
63 calls:
Slowest
149.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
123.0ms
(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))
111.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
109.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
82.0ms
(* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (* (cbrt (cbrt z)) (cbrt (cbrt z))))

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×cbrt-prod pow1
7×log-prod
5×log-pow distribute-lft-out
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×associate-+r+ pow1/3
2×log-div flip3-+ associate-+l- flip-+
1×+-commutative sum-log
Calls
4 calls:
Slowest
27.0ms
(+ (log (+ x y)) (log z))
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series933.0ms

Calls
4 calls:
Slowest
278.0ms
(cbrt t)
275.0ms
(cbrt t)
268.0ms
(cbrt t)
112.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Calls
37 calls:
Slowest
251.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
143.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
132.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
70.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
13×unpow-prod-down
11×pow1
9×times-frac add-exp-log
7×log-prod
6×cbrt-prod
5×log-pow distribute-lft-out
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube pow-exp insert-posit16 log1p-expm1-u 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
9.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow (/ 1 t) -1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series922.0ms

Calls
4 calls:
Slowest
282.0ms
(cbrt t)
282.0ms
(cbrt t)
251.0ms
(pow (/ 1 t) -1/3)
105.0ms
(+ (log (+ x y)) (log z))

simplify3.2s

Calls
54 calls:
Slowest
543.0ms
(exp (* -1/3 (+ (log (/ -1 t)) (log -1))))
304.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
277.0ms
(pow (/ (sqrt 1) (* (cbrt t) (cbrt t))) -1/3)
247.0ms
(pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt t) (cbrt t))) -1/3)
236.0ms
(pow (/ (* (cbrt 1) (cbrt 1)) (sqrt t)) -1/3)

prune2.1s

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

bsearch3.0ms

end0.0ms

sample13.7s

Algorithm
intervals
Results
10.6s57149×body80nan
1.4s8026×body80valid