Details

Time bar (total: 50.3s)

sample356.0ms

Algorithm
intervals
Results
249.0ms1679×body80nan
34.0ms256×body80valid

simplify398.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
398.0ms
(+ (- (+ (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

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(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)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
25×add-sqr-sqrt
24×prod-diff
21×add-cube-cbrt
18×associate-+l+
13×pow1
10×log-pow
8×log-prod associate--l+ add-log-exp
6×fma-def distribute-lft-out--
5×distribute-lft-out
4×fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×associate--l- log-div sum-log sub-neg flip3-+ diff-log flip-+ fma-udef difference-of-squares
1×+-commutative associate-+r+ flip3-- associate-+l- flip--
Counts
3 → 95
Calls
3 calls:
Slowest
63.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
15.0ms
(- (log (+ y x)) t)
1.0ms
(fma (- a 0.5) (log t) (log z))

series403.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
189.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
117.0ms
(- (log (+ y x)) t)
96.0ms
(fma (- a 0.5) (log t) (log z))

simplify5.0s

Counts
74 → 104
Calls
74 calls:
Slowest
457.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
399.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
359.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
336.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
334.0ms
(- (log -1) (+ t (log (/ -1 y))))

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

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
188.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
45.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
18.0ms
(- (log (+ y x)) t)
17.0ms
(* (- a 0.5) (log t))

series663.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
242.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
189.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
132.0ms
(- (log (+ y x)) t)
100.0ms
(* (- a 0.5) (log t))

simplify10.7s

Counts
119 → 160
Calls
119 calls:
Slowest
515.0ms
(* (* (/ (+ y x) (exp t)) (exp (* (- a 0.5) (log t)))) z)
486.0ms
(* (exp (- (log (+ y x)) t)) (exp (* (- a 0.5) (log t))))
484.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
471.0ms
(+ (* (- (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))))
425.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ y x))
0.6b
(cbrt (+ y x))
0.6b
(cbrt (+ y x))
0.5b
(* (cbrt (+ y x)) (cbrt (+ y x)))

rewrite54.0ms

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
43.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))

series797.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
214.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
200.0ms
(cbrt (+ y x))
199.0ms
(cbrt (+ y x))
184.0ms
(cbrt (+ y x))

simplify4.8s

Counts
94 → 119
Calls
94 calls:
Slowest
658.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ y x)))
415.0ms
(- (+ (* 2/3 (* (pow (/ 1 x) 1/3) y)) (pow x 2/3)) (* 1/9 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2))))
268.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (pow y 3) (pow x 3))))
246.0ms
(* (cbrt (- (* y y) (* x x))) (cbrt (+ (pow y 3) (pow x 3))))
232.0ms
(* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (- (* y y) (* x x))))

prune2.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))

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
Counts
4 → 85
Calls
4 calls:
Slowest
15.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
331.0ms
(* (cbrt t) (cbrt t))
323.0ms
(cbrt t)
302.0ms
(cbrt t)
255.0ms
(cbrt t)

simplify962.0ms

Counts
63 → 97
Calls
63 calls:
Slowest
175.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
144.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
134.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
101.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
59.0ms
(* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t))))

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample15.2s

Algorithm
intervals
Results
9.1s55856×body80nan
1.8s8028×body80valid