Details

Time bar (total: 30.6s)

sample200.0ms

Algorithm
intervals
Results
88.0ms812×body80nan
20.0ms188×body80valid
16.0ms27×body640valid
8.0ms21×body320valid
7.0ms5×body1280valid
3.0ms16×body160valid

simplify4.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize27.0ms

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))

rewrite158.0ms

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:
24.0ms
(* (- z 1.0) (log (- 1.0 y)))
94.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
34.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- z 1.0) (log (- 1.0 y)))
224.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
104.0ms
(* (- x 1.0) (log y))
65.0ms
(log (- 1.0 y))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5001
21534
1532
0231

prune850.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite585.0ms

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:
27.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
69.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) t)
444.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
35.0ms
(* (- x 1.0) (log y))

series642.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
322.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))) t)
84.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
69.0ms
(* (- x 1.0) (log y))

simplify3.2s

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
(log (sqrt y))
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 (sqrt y)))
0.1b
(* (- x 1.0) (log (sqrt y)))

rewrite461.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt log-prod
31×*-un-lft-identity
22×add-cube-cbrt
18×associate-*r*
17×distribute-rgt-in pow1 distribute-lft-in
15×associate-*l* sqrt-prod
11×add-exp-log
10×add-cbrt-cube log-pow
8×flip3-- flip--
6×associate-*l/ associate--l+
5×distribute-lft-out--
4×frac-times add-log-exp difference-of-squares
3×sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sub-neg associate-*r/
1×rem-log-exp
Counts
4 → 132
Calls
4 calls:
2.0ms
(log (sqrt y))
408.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
26.0ms
(* (- x 1.0) (log (sqrt y)))
22.0ms
(* (- x 1.0) (log (sqrt y)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(log (sqrt y))
81.0ms
(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y))))
86.0ms
(* (- x 1.0) (log (sqrt y)))
66.0ms
(* (- x 1.0) (log (sqrt y)))

simplify1.8s

Counts
144 → 144
Iterations
IterNodes
done5000
21866
1542
0220

prune1.1s

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
(* (- x 1.0) (log (sqrt y)))
0.1b
(* (- x 1.0) (log (sqrt y)))
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
39×add-sqr-sqrt
35×*-un-lft-identity
32×frac-times
28×associate-*r*
24×log-prod sqrt-prod
23×flip3-- flip--
21×pow1
20×associate-*l/
19×add-cube-cbrt
16×associate-*l*
15×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
12×flip3-+ flip-+
10×associate-*r/
8×log-pow
7×difference-of-squares
6×pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×*-commutative add-log-exp
3×distribute-lft-out unswap-sqr
2×sub-neg sqrt-pow1 pow1/2
Counts
4 → 162
Calls
4 calls:
524.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
25.0ms
(* (- x 1.0) (log (sqrt y)))
30.0ms
(* (- x 1.0) (log (sqrt y)))
804.0ms
(* (* (- 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)))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* 1.0 y)))))
86.0ms
(* (- x 1.0) (log (sqrt y)))
80.0ms
(* (- x 1.0) (log (sqrt y)))
345.0ms
(* (* (- 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)))))

simplify2.9s

Counts
174 → 174
Iterations
IterNodes
done5000
24004
1882
0285

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes717.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.9s24301×body80nan
770.0ms763×body640valid
687.0ms5868×body80valid
251.0ms731×body320valid
227.0ms260×body1280valid
106.0ms406×body160valid