Details

Time bar (total: 22.6s)

sample191.0ms

Algorithm
intervals
Results
61.0ms781×body80nan
24.0ms11×body1280valid
16.0ms183×body80valid
13.0ms27×body640valid
6.0ms21×body320valid
3.0ms16×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12617
24917
311717
434617
5139117
6473117
done500017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize35.0ms

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)
0.2b
(* (- x 1.0) (log y))
6.3b
(log (- 1.0 y))

rewrite206.0ms

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:
34.0ms
(* (- z 1.0) (log (- 1.0 y)))
125.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
31.0ms
(* (- x 1.0) (log y))
11.0ms
(log (- 1.0 y))

series459.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- z 1.0) (log (- 1.0 y)))
239.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
90.0ms
(* (- x 1.0) (log y))
65.0ms
(log (- 1.0 y))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02311491
15311443
221491283
done50021265

prune459.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

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
(* (- 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)))))))
0.2b
(* (- x 1.0) (log y))

rewrite356.0ms

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:
117.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
118.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
62.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
49.0ms
(* (- x 1.0) (log y))

series765.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
91.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
207.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
103.0ms
(* (- x 1.0) (log y))

simplify582.0ms

Counts
141 → 141
Iterations

Useful iterations: done (573.0ms)

IterNodesCost
03195151
19254731
done50014578

prune810.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite16.0ms

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)

series1.0s

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (cbrt y) (cbrt y))
258.0ms
(cbrt y)
198.0ms
(cbrt y)
252.0ms
(cbrt y)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
061524
1139417
2735397
done5000383

prune600.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log (* (cbrt 1) (pow y 2/3))))
0.3b
(+ (* (- x 1.0) (log (* (cbrt 1) (pow y 2/3)))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.7b
(cbrt y)
5.9b
(pow y 2/3)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
78×associate-*l/
68×frac-add
59×flip3-- flip--
16×frac-times
13×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt add-log-exp
8×pow1 associate-*r/
7×add-exp-log
6×add-cbrt-cube
5×associate-*l*
4×log-prod associate-*r*
3×cbrt-prod unpow-prod-down pow-unpow flip3-+ sum-log flip-+
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×+-commutative pow-to-exp associate-+r+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 104
Calls
4 calls:
36.0ms
(* (- x 1.0) (log (* (cbrt 1) (pow y 2/3))))
64.0ms
(+ (* (- x 1.0) (log (* (cbrt 1) (pow y 2/3)))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms
(cbrt y)
3.0ms
(pow y 2/3)

series886.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (- x 1.0) (log (* (cbrt 1) (pow y 2/3))))
380.0ms
(+ (* (- x 1.0) (log (* (cbrt 1) (pow y 2/3)))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
193.0ms
(cbrt y)
193.0ms
(pow y 2/3)

simplify658.0ms

Counts
116 → 116
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
04308468
115787391
done50007115

prune1000.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes393.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03051
13851
done3851

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.7s25084×body80nan
778.0ms5849×body80valid
424.0ms696×body320valid
397.0ms752×body640valid
267.0ms274×body1280valid
141.0ms467×body160valid