Details

Time bar (total: 29.3s)

sample182.0ms

Algorithm
intervals
Results
53.0ms691×body80nan
47.0ms204×body80valid
10.0ms21×body640valid
6.0ms7×body1280valid
4.0ms14×body320valid
2.0ms10×body160valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
5.2b
(log (- 1.0 y))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×add-sqr-sqrt
31×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
12×associate-*l/
11×pow1
10×associate-+r+ associate-*l*
9×add-exp-log
8×associate-*r* add-cbrt-cube
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×associate-+l+ add-log-exp
4×frac-add
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 109
Calls
4 calls:
56.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
64.0ms
(* (- z 1.0) (log (- 1.0 y)))
46.0ms
(* (- x 1.0) (log y))
9.0ms
(log (- 1.0 y))

series389.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
50.0ms
(* (- z 1.0) (log (- 1.0 y)))
80.0ms
(* (- x 1.0) (log y))
68.0ms
(log (- 1.0 y))

simplify1.5s

Counts
121 → 121
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02531844
16211748
221511592
done50001583

prune514.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 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
(+ (* (- 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))

rewrite280.0ms

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:
110.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
64.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
38.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
56.0ms
(* (- x 1.0) (log y))

series546.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
99.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
240.0ms
(+ (* (- x 1.0) (log y)) (* (- 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))

simplify935.0ms

Counts
235 → 235
Iterations

Useful iterations: done (924.0ms)

IterNodesCost
04965887
112895333
done50004924

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
77.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
25.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
22.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
28.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
583.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
339.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
314.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
348.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify1.0s

Counts
174 → 174
Iterations

Useful iterations: done (993.0ms)

IterNodesCost
033713389
163112118
2174711813
done500111537

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.6b
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.6b
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.9b
(pow (cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (+ 3 1))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
20×cbrt-prod
18×flip3-- flip--
12×frac-times *-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
7×unpow-prod-down
6×associate-*r/ associate-*l/
5×pow1 add-exp-log
4×pow-unpow pow1/3 add-cbrt-cube add-log-exp
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 84
Calls
4 calls:
13.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
6.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
6.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
13.0ms
(pow (cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (+ 3 1))

series1.8s

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
406.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
380.0ms
(cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
648.0ms
(pow (cbrt (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (+ 3 1))

simplify967.0ms

Counts
96 → 96
Iterations

Useful iterations: done (961.0ms)

IterNodesCost
02214361
15393833
215663688
done50003656

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

regimes534.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
034130
147128
done47128

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.9s24276×body80nan
708.0ms5904×body80valid
417.0ms770×body640valid
324.0ms273×body1280valid
307.0ms664×body320valid
131.0ms422×body160valid