Details

Time bar (total: 27.6s)

sample178.0ms

Algorithm
intervals
Results
55.0ms799×body80nan
14.0ms193×body80valid
9.0ms25×body640valid
6.0ms22×body320valid
4.0ms5×body1280valid
2.0ms14×body160valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12617
24917
311617
424117
550617
6103917
7161917
8205317
9215817
done215817

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
4.5b
(log (- 1.0 y))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
11×log-prod
8×add-cube-cbrt add-log-exp
7×pow1
6×add-exp-log
5×associate-*l* add-cbrt-cube
4×associate-*r*
3×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
2×log-div diff-log associate-*l/ log-pow
1×sub-neg rem-log-exp pow-prod-down prod-exp associate--l+ sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
112.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
43.0ms
(* (- x 1.0) (log y))
7.0ms
(log (- 1.0 y))

series362.0ms

Counts
3 → 9
Calls
3 calls:
217.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
90.0ms
(* (- x 1.0) (log y))
55.0ms
(log (- 1.0 y))

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0179996
1387959
21138857
34171836
done5000835

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
61.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
48.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
142.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
36.0ms
(* (- x 1.0) (log y))

series512.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
79.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
107.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
101.0ms
(* (- x 1.0) (log y))

simplify847.0ms

Counts
235 → 235
Iterations

Useful iterations: done (834.0ms)

IterNodesCost
04965887
112895333
done50004978

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt
6×cbrt-prod distribute-rgt-in sub-neg distribute-lft-in add-log-exp
5×flip3-- associate-*r* flip--
4×associate-+l+ associate-+r+ frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
38.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
74.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
414.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
273.0ms
(cbrt y)
253.0ms
(cbrt y)

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01541272
14541086
21858896
done5002864

prune599.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity associate-*r/
9×add-cbrt-cube
8×add-cube-cbrt
6×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
5×flip3-- associate-*r* flip--
4×associate-+l+ associate-+r+ frac-add
3×cbrt-prod unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp distribute-rgt-out pow-pow flip3-+ unpow1/3 pow1/3 associate-*l* pow-exp sum-log *-commutative flip-+ distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 79
Calls
4 calls:
64.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
68.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
1.0ms
(cbrt y)
5.0ms
(pow y 1/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
537.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
287.0ms
(cbrt y)
274.0ms
(pow y 1/3)

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01901384
15361187
22094969
done5000947

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes309.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02941
13841
done3841

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.9s24209×body80nan
1.0s5843×body80valid
433.0ms815×body640valid
269.0ms272×body1280valid
239.0ms683×body320valid
76.0ms421×body160valid