Details

Time bar (total: 22.9s)

sample125.0ms

Algorithm
intervals
Results
44.0ms739×body80nan
12.0ms183×body80valid
10.0ms29×body640valid
5.0ms7×body1280valid
4.0ms19×body320valid
3.0ms19×body160valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12617
24917
311717
434617
5139117
6473117
done500017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize34.0ms

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))
7.8b
(log (- 1.0 y))

rewrite242.0ms

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:
119.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
51.0ms
(* (- z 1.0) (log (- 1.0 y)))
56.0ms
(* (- x 1.0) (log y))
10.0ms
(log (- 1.0 y))

series443.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
65.0ms
(* (- z 1.0) (log (- 1.0 y)))
77.0ms
(* (- x 1.0) (log y))
63.0ms
(log (- 1.0 y))

simplify1.0s

Counts
106 → 106
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02311491
15311443
220921283
done50001265

prune518.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite289.0ms

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
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
133.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
44.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
31.0ms
(* (- x 1.0) (log y))

series450.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
70.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
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)))))))
95.0ms
(* (- x 1.0) (log y))

simplify874.0ms

Counts
235 → 235
Iterations

Useful iterations: done (862.0ms)

IterNodesCost
04965887
114525329
done50014925

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

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)

rewrite17.0ms

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:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt y) (cbrt y))
292.0ms
(cbrt y)
261.0ms
(cbrt y)
261.0ms
(cbrt y)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune693.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
4.9b
(pow (/ 1 y) -1/3)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×pow-exp add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
23.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
9.0ms
(pow (/ 1 y) -1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (cbrt y) (cbrt y))
264.0ms
(cbrt y)
241.0ms
(cbrt y)
260.0ms
(pow (/ 1 y) -1/3)

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0135788
1375620
21571592
done5002580

prune674.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes454.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03144
14044
done4044

end0.0ms

sample6.8s

Algorithm
intervals
Results
3.3s23659×body80nan
714.0ms5966×body80valid
411.0ms747×body640valid
255.0ms243×body1280valid
227.0ms647×body320valid
113.0ms432×body160valid