Details

Time bar (total: 31.6s)

sample250.0ms

Algorithm
intervals
Results
80.0ms776×body80nan
48.0ms186×body80valid
13.0ms22×body640valid
12.0ms11×body1280valid
9.0ms24×body320valid
4.0ms15×body160valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize27.0ms

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

rewrite219.0ms

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 associate-*r* add-cbrt-cube
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×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
113.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
47.0ms
(* (- z 1.0) (log (- 1.0 y)))
44.0ms
(* (- x 1.0) (log y))
9.0ms
(log (- 1.0 y))

series505.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
71.0ms
(* (- z 1.0) (log (- 1.0 y)))
93.0ms
(* (- x 1.0) (log y))
82.0ms
(log (- 1.0 y))

simplify1.0s

Counts
106 → 106
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02311491
14981443
215581279
done50011253

prune496.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))))))) t)
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
(* (- 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))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
126.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
42.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
127.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
45.0ms
(* (- x 1.0) (log y))

series772.0ms

Counts
4 → 12
Calls
4 calls:
378.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
219.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
92.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
82.0ms
(* (- x 1.0) (log y))

simplify2.4s

Counts
141 → 141
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03195151
18884731
243394577
done50004572

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite123.0ms

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:
54.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
61.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* 2 (log (cbrt y))) (- x 1.0))
463.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
319.0ms
(cbrt y)
347.0ms
(cbrt y)

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01541272
14541086
21858896
done5002864

prune729.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 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))))))
0.4b
(* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0))
0.6b
(cbrt (- y))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
27×flip3-- flip--
24×associate-*r/
23×add-sqr-sqrt
20×*-un-lft-identity
16×frac-add
15×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
12×pow1 frac-times log-prod associate--l+
11×associate-*l*
10×cbrt-prod associate-+r+
9×associate-*r*
8×add-exp-log sub-neg add-cbrt-cube
6×associate-*l/ add-log-exp
4×associate-+l+ pow-prod-down log-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 distribute-lft-out--
2×prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative neg-mul-1 flip3-+ sum-log flip-+
Counts
4 → 127
Calls
4 calls:
67.0ms
(+ (* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
130.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
75.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0))
4.0ms
(cbrt (- y))

series1.3s

Counts
4 → 12
Calls
4 calls:
451.0ms
(+ (* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 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))))))
429.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) (- (* 3 x) 3.0))
292.0ms
(cbrt (- y))

simplify2.6s

Counts
139 → 139
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03165184
19024756
244964552
done50004545

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes610.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02640
13540
done3540

end0.0ms

sample7.3s

Algorithm
intervals
Results
3.6s24665×body80nan
859.0ms5964×body80valid
379.0ms761×body640valid
287.0ms265×body1280valid
199.0ms632×body320valid
82.0ms412×body160valid