Details

Time bar (total: 8.1s)

sample100.0ms

Algorithm
intervals
Results
36.0ms755×body80nan
9.0ms17×body1280valid
9.0ms178×body80valid
8.0ms27×body640valid
4.0ms25×body320valid
1.0ms10×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.6b
(log (- 1.0 y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 106
Calls
4 calls:
19.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series239.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
64.0ms
(* z (log (- 1.0 y)))
44.0ms
(* x (log y))
43.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0519871
11908704
25001676

prune406.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (- (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
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b
(* x (log y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
81×*-un-lft-identity
80×times-frac
78×add-cube-cbrt associate-*r*
56×unpow-prod-down
48×prod-diff
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
31×add-exp-log
24×pow1 log-prod unpow2 sqr-pow
19×unswap-sqr
14×log-pow
13×add-cbrt-cube
12×prod-exp associate--l+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u
3×associate-*r/ pow-prod-down *-commutative
2×distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- fma-def flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 252
Calls
4 calls:
12.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
31.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(* x (log y))

series327.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
105.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
39.0ms
(* x (log y))

simplify128.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
010323139
141952176
250012168

prune872.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
17.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series571.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* x (log (cbrt y)))
103.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
187.0ms
(cbrt y)
185.0ms
(cbrt y)

simplify62.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0384753
11636640
25001570

prune886.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.2b
(* x (log (cbrt y)))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series622.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
95.0ms
(* x (log (cbrt y)))
175.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify79.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0168411
1610367
22425343
35002333

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes149.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13018

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24062×body80nan
295.0ms5594×body80valid
265.0ms884×body640valid
234.0ms389×body1280valid
130.0ms730×body320valid
48.0ms430×body160valid