Details

Time bar (total: 7.4s)

sample105.0ms

Algorithm
intervals
Results
35.0ms847×body80nan
10.0ms197×body80valid
7.0ms26×body640valid
5.0ms9×body1280valid
3.0ms16×body320valid
1.0ms8×body160valid

simplify27.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.2b
(log (- 1.0 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×expm1-log1p-u log-pow log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 76
Calls
3 calls:
14.0ms
(* z (log (- 1.0 y)))
8.0ms
(* x (log y))
6.0ms
(log (- 1.0 y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (log (- 1.0 y)))
35.0ms
(* x (log y))
44.0ms
(log (- 1.0 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0353439
11262387
25001373

prune221.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×prod-diff
56×*-un-lft-identity
51×add-cube-cbrt
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
24×log-prod
22×pow1
14×log-pow
13×associate--l+
11×add-log-exp
10×associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×sub-neg
4×expm1-log1p-u log1p-expm1-u
3×fma-neg distribute-lft-out--
2×flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative fma-def flip3-+ flip-+
Counts
4 → 170
Calls
4 calls:
47.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
27.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
73.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
8.0ms
(* x (log y))

series413.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
119.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
92.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
35.0ms
(* x (log y))

simplify94.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06443156
123912185
250032156

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
76×add-sqr-sqrt
72×associate-*r*
56×unpow-prod-down
40×add-cube-cbrt *-un-lft-identity
27×add-exp-log
24×unpow2 sqr-pow
18×unswap-sqr
11×prod-exp
9×div-exp add-cbrt-cube
7×pow1
6×pow-to-exp log-prod associate-*l* pow-exp
3×distribute-rgt-in distribute-lft-in cbrt-unprod
2×expm1-log1p-u pow-prod-down *-commutative log1p-expm1-u add-log-exp
1×cbrt-undiv associate-*r/ log-pow div-inv
Counts
2 → 139
Calls
2 calls:
39.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
8.0ms
(* x (log y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
35.0ms
(* x (log y))

simplify66.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0626769
12656641
25001640

prune552.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite43.0ms

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:
9.0ms
(* x (log (cbrt y)))
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series521.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* x (log (cbrt y)))
92.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
171.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify59.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0384753
11636640
25001570

prune897.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03119
13119

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.0s23974×body80nan
275.0ms5564×body80valid
250.0ms861×body640valid
229.0ms389×body1280valid
129.0ms753×body320valid
48.0ms464×body160valid