Details

Time bar (total: 9.1s)

sample116.0ms

Algorithm
intervals
Results
37.0ms802×body80nan
13.0ms185×body80valid
9.0ms29×body640valid
6.0ms10×body1280valid
3.0ms18×body320valid
2.0ms16×body160valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889
done45889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b
(* (- x 1.0) (log y))
5.1b
(log (- 1.0 y))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
25×add-sqr-sqrt
23×*-un-lft-identity
13×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+ associate-*l/
8×pow1
7×add-exp-log flip3-- flip--
6×associate-+l+ add-cbrt-cube
5×associate-*l* distribute-lft-out-- difference-of-squares
4×associate-*r* frac-add
2×log-div diff-log sum-log log-pow
1×+-commutative sub-neg flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 92
Calls
4 calls:
76.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
26.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
24.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series382.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
125.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
55.0ms
(* (- x 1.0) (log y))
45.0ms
(log (- 1.0 y))

simplify64.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0629947
12391888
25001883
done5001883

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
80×times-frac
72×associate-*r*
56×unpow-prod-down
50×*-un-lft-identity
46×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
22×flip3-- associate-*l/ flip--
18×log-prod unswap-sqr
16×frac-add
11×distribute-rgt-in distribute-lft-in prod-exp add-cbrt-cube add-log-exp
10×associate-+r+
9×pow1 div-exp
8×frac-times associate-*l*
7×associate--l+
6×pow-to-exp associate-+l+ pow-exp
5×associate-*r/
3×sub-neg cbrt-unprod
2×diff-log pow-prod-down sum-log *-commutative distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative flip3-+ log-pow flip-+ div-inv
Counts
4 → 198
Calls
4 calls:
29.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
81.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
38.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
22.0ms
(* (- x 1.0) (log y))

series522.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
257.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
50.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
61.0ms
(* (- x 1.0) (log y))

simplify53.0ms

Counts
210 → 210
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013012550
150022423
done50022423

prune873.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube 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 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series743.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt y) (cbrt y))
182.0ms
(cbrt y)
184.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify88.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235
done5003235

prune446.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
13.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series741.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt y) (cbrt y))
181.0ms
(cbrt y)
181.0ms
(cbrt y)
174.0ms
(pow y 1/3)

simplify145.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0173288
1778209
24922194
35003194
done5003194

prune450.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815
done2815

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.2s24165×body80nan
318.0ms5908×body80valid
233.0ms771×body640valid
156.0ms257×body1280valid
120.0ms663×body320valid
49.0ms435×body160valid