Details

Time bar (total: 44.8s)

sample376.0ms

Algorithm
intervals
Results
254.0ms1744×body80nan
36.0ms258×body80valid

simplify856.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
856.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (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)

rewrite321.0ms

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
Counts
4 → 176
Calls
4 calls:
Slowest
186.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
80.0ms
(- (+ (log (+ x y)) (log z)) t)
33.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series756.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
273.0ms
(- (+ (log (+ x y)) (log z)) t)
123.0ms
(+ (log (+ x y)) (log z))
81.0ms
(* (- a 0.5) (log t))

simplify12.7s

Counts
149 → 188
Calls
149 calls:
Slowest
702.0ms
(+ (* (- (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))))
536.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
533.0ms
(+ (* (- (* (+ (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))))
492.0ms
(+ (* (- (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))))
387.0ms
(* (* (* (- a 0.5) (- a 0.5)) (- a 0.5)) (* (* (log t) (log t)) (log t)))

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

59.8b
(fma (- (cbrt t)) (* (cbrt t) (cbrt t)) (* (cbrt t) (* (cbrt t) (cbrt t))))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
Slowest
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(fma (- (cbrt t)) (* (cbrt t) (cbrt t)) (* (cbrt t) (* (cbrt t) (cbrt t))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
845.0ms
(fma (- (cbrt t)) (* (cbrt t) (cbrt t)) (* (cbrt t) (* (cbrt t) (cbrt t))))
264.0ms
(cbrt t)
252.0ms
(cbrt t)
250.0ms
(cbrt t)

simplify573.0ms

Counts
21 → 65
Calls
21 calls:
Slowest
166.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
152.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
36.0ms
(pow (/ 1 t) -1/3)
17.0ms
(pow (/ 1 t) -1/3)

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (log (+ x y)) (log z))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite12.0ms

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
Counts
4 → 73
Calls
4 calls:
Slowest
9.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series987.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
324.0ms
(cbrt t)
295.0ms
(cbrt t)
270.0ms
(cbrt t)
99.0ms
(+ (log (+ x y)) (log z))

simplify1.2s

Counts
37 → 85
Calls
37 calls:
Slowest
312.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
172.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
140.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
138.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
99.0ms
(log (- (* x x) (* y y)))

prune1.6s

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 t 1/3)
0.7b
(+ (log (+ x y)) (log z))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
10×pow1
7×log-prod
6×cbrt-prod
5×add-exp-log log-pow distribute-lft-out
4×expm1-log1p-u associate-+l+ fma-def add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-+r+ unpow-prod-down
2×log-div flip3-+ pow1/3 associate-+l- flip-+
1×pow-to-exp +-commutative sum-log pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 80
Calls
4 calls:
Slowest
14.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series906.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
278.0ms
(cbrt t)
266.0ms
(cbrt t)
243.0ms
(pow t 1/3)
120.0ms
(+ (log (+ x y)) (log z))

simplify1.6s

Counts
40 → 92
Calls
40 calls:
Slowest
565.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
289.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
138.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
124.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
84.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample13.2s

Algorithm
intervals
Results
8.7s55469×body80nan
1.3s8027×body80valid