Details

Time bar (total: 51.2s)

sample400.0ms

Algorithm
intervals
Results
302.0ms1934×body80nan
35.0ms257×body80valid

simplify423.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
423.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (- a 0.5) (log t) (log z))
0.1b
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0b
(- (log (+ y x)) t)
0.0b
(log (+ y x))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
27×add-sqr-sqrt
24×prod-diff
23×add-cube-cbrt
18×associate-+l+
15×pow1
12×log-prod
11×log-pow
9×add-log-exp
8×associate--l+
6×fma-def distribute-lft-out distribute-lft-out--
5×add-exp-log
4×expm1-log1p-u log-div add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u
3×flip3-+ flip-+
2×associate--l- sum-log sub-neg diff-log fma-udef difference-of-squares
1×+-commutative associate-+r+ flip3-- rem-log-exp associate-+l- flip--
Counts
4 → 113
Calls
4 calls:
Slowest
42.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
18.0ms
(- (log (+ y x)) t)
7.0ms
(log (+ y x))
0.0ms
(fma (- a 0.5) (log t) (log z))

series611.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
264.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
128.0ms
(- (log (+ y x)) t)
117.0ms
(fma (- a 0.5) (log t) (log z))
101.0ms
(log (+ y x))

simplify5.1s

Counts
84 → 125
Calls
84 calls:
Slowest
447.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
404.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
359.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
330.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
313.0ms
(- (log -1) (+ t (log (/ -1 y))))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- a 0.5) (log t))
0.1b
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
0.1b
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
0.0b
(- (log (+ y x)) t)

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
38×add-sqr-sqrt
30×add-cube-cbrt
24×prod-diff
23×log-prod
19×associate-+l+
17×pow1
14×add-log-exp
11×log-pow
9×associate-+r+ fma-def
8×associate--l+
7×sum-log
6×distribute-rgt-in distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
5×associate-*l* distribute-lft-out--
4×expm1-log1p-u fma-neg associate-*r* frac-add insert-posit16 log1p-expm1-u distribute-lft-out
3×flip3-+ diff-log associate-+l- flip-+ difference-of-squares
2×associate--l- +-commutative log-div sub-neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 148
Calls
4 calls:
Slowest
171.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
52.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
23.0ms
(* (- a 0.5) (log t))
9.0ms
(- (log (+ y x)) t)

series594.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
228.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
173.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
114.0ms
(- (log (+ y x)) t)
79.0ms
(* (- a 0.5) (log t))

simplify10.2s

Counts
119 → 160
Calls
119 calls:
Slowest
711.0ms
(+ (* (- (* (log (+ y x)) (log (+ y x))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (log (+ y x)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
479.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
441.0ms
(* (* (/ (+ y x) (exp t)) (exp (* (- a 0.5) (log t)))) z)
440.0ms
(* (+ (* (log (+ y x)) (log (+ y x))) (+ (* t t) (* (log (+ y x)) t))) (+ a 0.5))
437.0ms
(+ (* (- (pow (log (+ y x)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (log (+ y x)) (log (+ y x))) (+ (* t t) (* (log (+ y x)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))

prune2.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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
33.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))

series700.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
198.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
193.0ms
(cbrt (+ y x))
156.0ms
(cbrt (+ y x))
153.0ms
(cbrt (+ y x))

simplify4.5s

Counts
94 → 119
Calls
94 calls:
Slowest
408.0ms
(- (+ (* 2/3 (* (pow (/ 1 x) 1/3) y)) (pow x 2/3)) (* 1/9 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2))))
333.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ y x)))
285.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (pow y 3) (pow x 3))))
249.0ms
(* (cbrt (- (* y y) (* x x))) (cbrt (+ (pow y 3) (pow x 3))))
213.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (- (* y y) (* x x))))

prune2.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (- a 0.5) (log t) (+ (log z) (- (log (+ x y)) t)))
0.2b
(+ (log z) (- (log (+ x y)) t))
0.0b
(- (log (+ x y)) t)
0.0b
(log (+ x y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
26×add-sqr-sqrt
24×prod-diff add-cube-cbrt
19×pow1
18×associate-+r+
15×log-prod log-pow
9×distribute-lft-out
8×associate--l+
7×add-log-exp
6×distribute-lft-out--
5×add-exp-log
4×expm1-log1p-u log-div fma-def add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u
3×associate-+l+ flip3-+ flip-+
2×associate--l- sum-log sub-neg diff-log
1×+-commutative associate-+r- flip3-- rem-log-exp fma-udef flip-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
Slowest
25.0ms
(+ (log z) (- (log (+ x y)) t))
16.0ms
(- (log (+ x y)) t)
3.0ms
(log (+ x y))
0.0ms
(fma (- a 0.5) (log t) (+ (log z) (- (log (+ x y)) t)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(+ (log z) (- (log (+ x y)) t))
147.0ms
(- (log (+ x y)) t)
122.0ms
(fma (- a 0.5) (log t) (+ (log z) (- (log (+ x y)) t)))
82.0ms
(log (+ x y))

simplify3.9s

Counts
87 → 128
Calls
87 calls:
Slowest
383.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))
329.0ms
(- (log -1) (+ t (log (/ -1 x))))
327.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 1.5 (log -1)))) (+ (* a (log (/ -1 t))) (+ (log (/ -1 z)) (+ t (log (/ -1 x))))))
288.0ms
(- (* 2 (log -1)) (+ t (+ (log (/ -1 x)) (log (/ -1 z)))))
231.0ms
(- (+ (* a (log t)) (+ (log z) (log y))) (+ t (* 0.5 (log t))))

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 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

sample13.6s

Algorithm
intervals
Results
10.1s56567×body80nan
1.7s8028×body80valid