Details

Time bar (total: 20.0s)

sample112.0ms

Algorithm
intervals
Results
32.0ms706×body80nan
13.0ms26×body640valid
9.0ms179×body80valid
7.0ms11×body1280valid
5.0ms25×body320valid
2.0ms17×body160valid

simplify4.5s

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: 9.5b

localize13.0ms

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))
6.2b
(log (- 1.0 y))

rewrite140.0ms

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:
29.0ms
(* (- z 1.0) (log (- 1.0 y)))
78.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
26.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series314.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- z 1.0) (log (- 1.0 y)))
162.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
60.0ms
(* (- x 1.0) (log y))
45.0ms
(log (- 1.0 y))

simplify743.0ms

Counts
106 → 106
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
02311491
14981443
215561279
done50001253

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

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

rewrite214.0ms

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:
28.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
81.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
75.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
25.0ms
(* (- x 1.0) (log y))

series552.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
261.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
67.0ms
(* (- 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))

simplify1.7s

Counts
141 → 141
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03195151
18884731
243334577
done50014572

prune604.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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)

rewrite19.0ms

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)
4.0ms
(cbrt y)

series747.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt y) (cbrt y))
185.0ms
(cbrt y)
181.0ms
(cbrt y)
182.0ms
(cbrt y)

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: done (3.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune440.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log (pow (/ 1 y) -2/3)))
0.2b
(+ (* (- x 1.0) (log (pow (/ 1 y) -2/3))) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.7b
(cbrt y)
6.1b
(pow (/ 1 y) -2/3)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
68×log-prod frac-add
65×unpow-prod-down
59×flip3-- flip--
51×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
46×associate-*l/
45×times-frac
40×associate-*r/
34×distribute-rgt-in associate-+l+ distribute-lft-in
16×frac-times
11×add-exp-log
9×add-log-exp
8×pow1
6×add-cbrt-cube
5×associate-*l* div-inv sqr-pow
4×associate-*r* pow-exp
3×cbrt-prod pow-unpow pow-pow flip3-+ sum-log flip-+
2×div-exp
1×+-commutative pow-to-exp rec-exp associate-+r+ pow-flip pow1/3 1-exp pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 183
Calls
4 calls:
30.0ms
(* (- x 1.0) (log (pow (/ 1 y) -2/3)))
60.0ms
(+ (* (- x 1.0) (log (pow (/ 1 y) -2/3))) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms
(cbrt y)
7.0ms
(pow (/ 1 y) -2/3)

series762.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (- x 1.0) (log (pow (/ 1 y) -2/3)))
296.0ms
(+ (* (- x 1.0) (log (pow (/ 1 y) -2/3))) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
178.0ms
(cbrt y)
174.0ms
(pow (/ 1 y) -2/3)

simplify653.0ms

Counts
195 → 195
Iterations

Useful iterations: done (642.0ms)

IterNodesCost
057310660
118579447
done50009155

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes402.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03041
14141
done4141

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s24249×body80nan
304.0ms5840×body80valid
233.0ms780×body640valid
174.0ms291×body1280valid
120.0ms667×body320valid
52.0ms459×body160valid