Details

Time bar (total: 32.4s)

sample181.0ms

Algorithm
intervals
Results
68.0ms812×body80nan
16.0ms188×body80valid
12.0ms27×body640valid
6.0ms21×body320valid
4.0ms5×body1280valid
3.0ms16×body160valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
72731
61183
5592
4287
3116
249
126
014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
4.7b
(log (- 1.0 y))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*r*
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sum-log sub-neg rem-log-exp associate--l+
Counts
4 → 94
Calls
4 calls:
25.0ms
(* (- z 1.0) (log (- 1.0 y)))
82.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
20.0ms
(* (- x 1.0) (log y))
7.0ms
(log (- 1.0 y))

series491.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (- z 1.0) (log (- 1.0 y)))
236.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
104.0ms
(* (- x 1.0) (log y))
71.0ms
(log (- 1.0 y))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5001
21534
1532
0231

prune880.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) t)
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
0.1b
(* (- x 1.0) (log y))

rewrite729.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in distribute-lft-in frac-add add-cube-cbrt
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-cbrt-cube add-exp-log
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×sum-log diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
22.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
107.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) t)
567.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
27.0ms
(* (- x 1.0) (log y))

series737.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
323.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) t)
77.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
101.0ms
(* (- x 1.0) (log y))

simplify3.4s

Counts
141 → 141
Iterations
IterNodes
done5000
24187
1926
0319

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
0.0b
(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
0.1b
(* (log (sqrt y)) (- x 1.0))
0.1b
(* (log (sqrt y)) (- x 1.0))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
26×associate-*r/
23×*-un-lft-identity
17×associate-*l*
16×distribute-rgt-in distribute-lft-in associate-*r* frac-add
15×pow1
14×add-cube-cbrt
12×frac-times log-prod associate--l+
10×associate-+r+ sub-neg add-cbrt-cube add-exp-log
7×log-pow
6×associate-*l/ add-log-exp
5×distribute-lft-out--
4×associate-+l+ difference-of-squares
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sqrt-pow1 pow1/2
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 140
Calls
4 calls:
358.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
22.0ms
(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
18.0ms
(* (log (sqrt y)) (- x 1.0))
19.0ms
(* (log (sqrt y)) (- x 1.0))

series498.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
237.0ms
(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
81.0ms
(* (log (sqrt y)) (- x 1.0))
81.0ms
(* (log (sqrt y)) (- x 1.0))

simplify2.9s

Counts
152 → 152
Iterations
IterNodes
done5000
24199
1872
0279

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
0.1b
(* (log (sqrt y)) (- x 1.0))
0.1b
(* (log (sqrt y)) (- x 1.0))
0.4b
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) (- (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
32×frac-times
31×add-sqr-sqrt
27×*-un-lft-identity
26×associate-*r*
23×flip3-- flip--
21×pow1
18×associate-*l*
16×associate-*l/
15×add-cbrt-cube add-exp-log
14×associate-*r/
12×flip3-+ sqrt-prod flip-+
11×add-cube-cbrt
8×log-pow
7×distribute-rgt-in distribute-lft-in difference-of-squares
6×sub-neg pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×*-commutative add-log-exp
3×distribute-lft-out unswap-sqr
2×sqrt-pow1 pow1/2
Counts
4 → 146
Calls
4 calls:
512.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
34.0ms
(* (log (sqrt y)) (- x 1.0))
37.0ms
(* (log (sqrt y)) (- x 1.0))
841.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) (- (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
103.0ms
(* (log (sqrt y)) (- x 1.0))
82.0ms
(* (log (sqrt y)) (- x 1.0))
307.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) (- (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))

simplify2.8s

Counts
158 → 158
Iterations
IterNodes
done5001
23918
1850
0259

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes679.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.8s24301×body80nan
966.0ms5868×body80valid
443.0ms763×body640valid
267.0ms731×body320valid
223.0ms260×body1280valid
72.0ms406×body160valid