Details

Time bar (total: 7.6s)

sample102.0ms

Algorithm
intervals
Results
35.0ms765×body80nan
13.0ms44×body640valid
9.0ms15×body1280valid
8.0ms164×body80valid
4.0ms24×body320valid
1.0ms9×body160valid

simplify25.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b
(* x (log y))
4.2b
(log (- 1.0 y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
23×add-sqr-sqrt
21×*-un-lft-identity
13×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+
8×pow1
7×add-exp-log
6×associate-+l+ add-cbrt-cube
4×associate-*r* distribute-lft-out-- difference-of-squares
3×associate-*l*
2×log-div flip3-- diff-log sum-log log-pow flip--
1×+-commutative sub-neg flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 84
Calls
4 calls:
8.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
16.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series242.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
83.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
37.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0454670
11434621
25001590

prune276.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
80×times-frac
72×associate-*r*
56×unpow-prod-down
48×*-un-lft-identity
46×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
18×log-prod unswap-sqr
11×distribute-rgt-in distribute-lft-in prod-exp add-cbrt-cube add-log-exp
10×associate-+r+
9×pow1 div-exp
7×associate--l+
6×pow-to-exp associate-+l+ associate-*l* pow-exp
3×sub-neg cbrt-unprod
2×diff-log pow-prod-down sum-log *-commutative
1×cbrt-undiv +-commutative flip3-- flip3-+ associate-*r/ log-pow flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 178
Calls
4 calls:
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
16.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
27.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
4.0ms
(* x (log y))

series394.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
179.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
41.0ms
(* x (log y))

simplify86.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08341445
133731292
250011291

prune647.0ms

Filtered
190 candidates to 126 candidates (66.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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)))
16.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series549.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (log (cbrt y)))
105.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
174.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0345729
11431634
25001547

prune584.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.7b
(cbrt y)
5.2b
(pow y 1/3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
66×log-prod
59×distribute-rgt-in distribute-lft-in
31×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×associate-+r+
24×associate-+l+
21×unpow-prod-down
15×cbrt-prod
7×pow1 add-exp-log sqr-pow
6×add-cbrt-cube add-log-exp
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 125
Calls
4 calls:
5.0ms
(* x (log (pow y 1/3)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series567.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (log (pow y 1/3)))
139.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
175.0ms
(cbrt y)
173.0ms
(pow y 1/3)

simplify71.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0527955
12161765
25002632

prune691.0ms

Filtered
137 candidates to 106 candidates (77.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
14320
24320

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.0s24204×body80nan
276.0ms5584×body80valid
258.0ms901×body640valid
217.0ms379×body1280valid
115.0ms684×body320valid
48.0ms475×body160valid