Details

Time bar (total: 16.7s)

sample109.0ms

Algorithm
intervals
Results
42.0ms867×body80nan
10.0ms33×body640valid
10.0ms185×body80valid
6.0ms9×body1280valid
3.0ms15×body320valid
2.0ms17×body160valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12617
24817
38617
419017
541317
695317
7199017
8256917
9267017
done267017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

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
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
5.6b
(log (- 1.0 y))

rewrite72.0ms

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:
41.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series296.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
58.0ms
(* (- x 1.0) (log y))
42.0ms
(log (- 1.0 y))

simplify601.0ms

Counts
106 → 106
Iterations

Useful iterations: done (598.0ms)

IterNodesCost
02311491
14981443
215811283
done50011258

prune309.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite108.0ms

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:
39.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
12.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms
(* (- x 1.0) (log y))

series512.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
150.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
67.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms
(* (- x 1.0) (log y))

simplify1.1s

Counts
141 → 141
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03195151
18804731
241084577
done50004573

prune634.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
20×add-sqr-sqrt
18×cbrt-prod *-un-lft-identity
16×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
12×associate-+r+
7×pow1
6×add-exp-log associate-*l/ add-cbrt-cube add-log-exp
5×flip3-- associate-*r* associate-*l* flip--
4×associate-+l+ associate-*r/ frac-add
3×pow1/3
2×sub-neg log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
12.0ms
(* (- x 1.0) (log (cbrt y)))
17.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series766.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (- x 1.0) (log (cbrt y)))
297.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
175.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify811.0ms

Counts
101 → 101
Iterations

Useful iterations: done (808.0ms)

IterNodesCost
01731509
14451366
217361099
done50011095

prune529.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))) (- x 1.0)) (* (log (sqrt (cbrt y))) (- x 1.0)))
0.4b
(* 2/3 (log y))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×frac-add
14×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×frac-times
7×pow1 distribute-rgt-in distribute-lft-in flip3-+ flip-+
6×add-exp-log cbrt-prod log-prod add-cbrt-cube add-log-exp
4×sub-neg associate-+l+ associate-+r+ associate-*r* associate-*l/
3×associate-*l*
2×pow1/3
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 83
Calls
4 calls:
15.0ms
(+ (* (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))) (- x 1.0)) (* (log (sqrt (cbrt y))) (- x 1.0)))
4.0ms
(* 2/3 (log y))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
532.0ms
(+ (* (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))) (- x 1.0)) (* (log (sqrt (cbrt y))) (- x 1.0)))
144.0ms
(* 2/3 (log y))
180.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify950.0ms

Counts
95 → 95
Iterations

Useful iterations: done (946.0ms)

IterNodesCost
02502501
18302247
229342127
done50012123

prune632.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02640
13540
done3540

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s23984×body80nan
334.0ms5893×body80valid
234.0ms748×body640valid
152.0ms243×body1280valid
132.0ms705×body320valid
52.0ms443×body160valid