Details

Time bar (total: 23.9s)

sample111.0ms

Algorithm
intervals
Results
35.0ms761×body80nan
13.0ms182×body80valid
8.0ms27×body640valid
6.0ms10×body1280valid
4.0ms22×body320valid
2.0ms15×body160valid

simplify10.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01417
12716
25716
313016
428116
564916
6137216
7248416
8332916
9355716
10356116
done356116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize20.0ms

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)))
0.2b
(* (- x 1.0) (log y))
4.9b
(log (- 1.0 y))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×fma-neg 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 → 114
Calls
4 calls:
89.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
32.0ms
(* (- z 1.0) (log (- 1.0 y)))
23.0ms
(* (- x 1.0) (log y))
6.0ms
(log (- 1.0 y))

series320.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
49.0ms
(* (- z 1.0) (log (- 1.0 y)))
57.0ms
(* (- x 1.0) (log y))
47.0ms
(log (- 1.0 y))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02632037
15871849
217821611
done50001495

prune361.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* (- x 1.0) (log y))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
80×times-frac
78×associate-*r*
76×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
33×prod-diff
31×add-exp-log
24×unpow2 sqr-pow
20×distribute-rgt-in distribute-lft-in
19×unswap-sqr
18×pow1
13×associate-*l* add-cbrt-cube
12×log-prod prod-exp
9×div-exp add-log-exp
8×flip3-- log-pow flip--
7×associate--l+
6×pow-to-exp pow-exp
5×distribute-lft-out--
4×expm1-log1p-u frac-times associate-*l/ cbrt-unprod log1p-expm1-u difference-of-squares
3×sub-neg fma-neg associate-*r/ pow-prod-down *-commutative
2×diff-log
1×cbrt-undiv sum-log div-inv
Counts
4 → 240
Calls
4 calls:
94.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
45.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
22.0ms
(* (- x 1.0) (log y))

series443.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
58.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
66.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
63.0ms
(* (- x 1.0) (log y))

simplify1.7s

Counts
252 → 252
Iterations

Useful iterations: done (1.6s)

IterNodesCost
05096932
111085527
232694542
done50024329

prune846.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (* 2 (log (cbrt y))))
0.3b
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (- x 1.0)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
59×distribute-rgt-in distribute-lft-in
48×log-prod
37×add-sqr-sqrt *-un-lft-identity
35×add-cube-cbrt
30×cbrt-prod
24×associate-+l+
22×associate-+r+
18×prod-diff
9×pow1 add-exp-log add-cbrt-cube
6×associate-*l/ add-log-exp
5×flip3-- associate-*l* flip--
4×expm1-log1p-u associate-*r/ frac-add log1p-expm1-u
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg pow1/3
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 138
Calls
4 calls:
35.0ms
(* (- x 1.0) (* 2 (log (cbrt y))))
38.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (- x 1.0)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series681.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (- x 1.0) (* 2 (log (cbrt y))))
175.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (- x 1.0)))
189.0ms
(cbrt y)
187.0ms
(cbrt y)

simplify1.1s

Counts
150 → 150
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02742578
17102248
222991746
done50001699

prune784.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
5.0ms
(cbrt (* (cbrt y) (cbrt y)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
200.0ms
(cbrt y)
268.0ms
(cbrt (cbrt y))
292.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify895.0ms

Counts
65 → 65
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
064368
1116354
2228302
3499290
41707290
done5001290

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03560
14360
done4360

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s23838×body80nan
308.0ms5853×body80valid
232.0ms784×body640valid
156.0ms262×body1280valid
130.0ms704×body320valid
47.0ms429×body160valid