Details

Time bar (total: 7.3s)

sample104.0ms

Algorithm
intervals
Results
31.0ms790×body80nan
8.0ms183×body80valid
7.0ms27×body640valid
7.0ms13×body1280valid
3.0ms22×body320valid
1.0ms14×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
6.6b
(log (- 1.0 y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
31×add-sqr-sqrt
27×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+
9×add-exp-log
8×associate-*r* add-cbrt-cube
6×associate-+l+ associate-*l* add-log-exp
5×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ rem-log-exp sum-log flip-- flip-+
Counts
4 → 97
Calls
4 calls:
18.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
15.0ms
(* z (log (- 1.0 y)))
9.0ms
(* x (log y))
8.0ms
(log (- 1.0 y))

series218.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
64.0ms
(* z (log (- 1.0 y)))
34.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0449675
11570619
25002588

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt log-prod
21×*-un-lft-identity
16×distribute-rgt-in add-cube-cbrt distribute-lft-in
13×associate--l+
11×add-log-exp
10×pow1 associate-+r+ associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×sub-neg
3×distribute-lft-out--
2×flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 101
Calls
4 calls:
42.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
18.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
66.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
13.0ms
(* x (log y))

series454.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
117.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 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))))))
35.0ms
(* x (log y))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04351202
116501138
250021111

prune383.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
25.0ms
(* x (* 2 (log (cbrt y))))
10.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series538.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (* 2 (log (cbrt y))))
91.0ms
(* x (log (cbrt y)))
182.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0291642
11173565
25001541

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x 1/3)
0.3b
(* (* x 1/3) (log y))
0.6b
(cbrt y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×pow1
16×add-exp-log add-cbrt-cube
15×cbrt-prod
8×associate-*r*
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×*-commutative
1×pow1/3 log-pow unswap-sqr
Counts
4 → 96
Calls
4 calls:
22.0ms
(* x (* 2 (log (cbrt y))))
7.0ms
(* x 1/3)
22.0ms
(* (* x 1/3) (log y))
1.0ms
(cbrt y)

series342.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* x (* 2 (log (cbrt y))))
16.0ms
(* x 1/3)
46.0ms
(* (* x 1/3) (log y))
173.0ms
(cbrt y)

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0405595
11864509
25001481

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes186.0ms

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
04227
14227

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.2s24302×body80nan
266.0ms5552×body80valid
234.0ms848×body640valid
222.0ms394×body1280valid
123.0ms762×body320valid
49.0ms477×body160valid