Details

Time bar (total: 7.3s)

sample102.0ms

Algorithm
intervals
Results
39.0ms826×body80nan
9.0ms188×body80valid
6.0ms22×body640valid
6.0ms11×body1280valid
4.0ms23×body320valid
2.0ms15×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

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))
5.5b
(log (- 1.0 y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×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 → 86
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))

series244.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
64.0ms
(* z (log (- 1.0 y)))
45.0ms
(* x (log y))
43.0ms
(log (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0436628
11539553
25002530

prune475.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

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

rewrite60.0ms

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:
16.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
27.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
6.0ms
(* x (log y))

series450.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
130.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
42.0ms
(* x (log y))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04351202
116501138
250021111

prune390.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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)

rewrite24.0ms

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*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series544.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (log (cbrt y)))
103.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms
(cbrt y)
171.0ms
(cbrt y)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0345729
11431634
25001547

prune593.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
0.3b
(* (* x 1/3) (log y))
0.4b
(* x 1/3)
0.7b
(cbrt y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
7×associate-*r*
6×associate-+r+ add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative
1×+-commutative flip3-+ pow1/3 sum-log log-pow flip-+ unswap-sqr
Counts
4 → 95
Calls
4 calls:
12.0ms
(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
10.0ms
(* (* x 1/3) (log y))
3.0ms
(* x 1/3)
1.0ms
(cbrt y)

series382.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
48.0ms
(* (* x 1/3) (log y))
13.0ms
(* x 1/3)
175.0ms
(cbrt y)

simplify74.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0421677
11947555
25001453

prune496.0ms

Filtered
107 candidates to 81 candidates (75.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes209.0ms

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
03719
13719

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24591×body80nan
272.0ms5529×body80valid
257.0ms437×body1280valid
252.0ms887×body640valid
125.0ms749×body320valid
45.0ms432×body160valid