Details

Time bar (total: 7.8s)

sample99.0ms

Algorithm
intervals
Results
34.0ms772×body80nan
10.0ms35×body640valid
9.0ms171×body80valid
5.0ms9×body1280valid
4.0ms23×body320valid
2.0ms18×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

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)))
0.2b
(* x (log y))
4.8b
(log (- 1.0 y))

rewrite30.0ms

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:
15.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
2.0ms
(log (- 1.0 y))

series225.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
64.0ms
(* z (log (- 1.0 y)))
39.0ms
(* x (log y))
41.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0436628
11539553
25002530

prune241.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
51×*-un-lft-identity
46×add-cube-cbrt
31×add-exp-log
24×unpow2 sqr-pow
19×unswap-sqr
13×add-cbrt-cube
12×pow1 log-prod prod-exp
9×div-exp associate-*l* add-log-exp
8×distribute-rgt-in distribute-lft-in
7×associate--l+
6×pow-to-exp pow-exp
4×cbrt-unprod
3×sub-neg associate-*r/ pow-prod-down *-commutative distribute-lft-out--
2×flip3-- diff-log log-pow flip-- difference-of-squares
1×cbrt-undiv sum-log div-inv
Counts
4 → 184
Calls
4 calls:
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
15.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
25.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series397.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
199.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
98.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
35.0ms
(* x (log y))

simplify89.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08621507
136361307
250011306

prune615.0ms

Filtered
196 candidates to 121 candidates (61.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
53×*-un-lft-identity
50×add-cube-cbrt
31×add-exp-log
24×log-prod unpow2 sqr-pow
22×associate--l+
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 associate-+r+ prod-exp
9×div-exp associate-*l* add-log-exp
6×pow-to-exp associate-+l+ pow-exp
5×sub-neg
4×cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×sum-log log-pow distribute-lft-out--
1×cbrt-undiv +-commutative associate-+r- flip3-- flip3-+ diff-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 199
Calls
4 calls:
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
25.0ms
(+ (* 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))))))
4.0ms
(* x (log y))

series348.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
168.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
95.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
35.0ms
(* x (log y))

simplify88.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09001613
137121421
250021420

prune679.0ms

Filtered
211 candidates to 135 candidates (64.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
0.2b
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b
(* x (log y))
0.3b
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
20×associate-*r*
17×pow1
15×sqrt-prod
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt
10×associate-*r/
7×associate-*l*
6×distribute-rgt-in log-prod distribute-lft-in
5×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
4×frac-times add-log-exp difference-of-squares
3×flip3-- log-pow *-commutative flip-- distribute-lft-out distribute-lft-out--
2×sub-neg sqrt-div associate-*l/ unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 102
Calls
4 calls:
3.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
37.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms
(* x (log y))
65.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
187.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
41.0ms
(* x (log y))
437.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06881792
134251492
250011471

prune451.0ms

Filtered
114 candidates to 75 candidates (65.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s23975×body80nan
285.0ms5569×body80valid
249.0ms421×body1280valid
246.0ms831×body640valid
134.0ms758×body320valid
49.0ms446×body160valid