Details

Time bar (total: 9.1s)

sample157.0ms

Algorithm
intervals
Results
73.0ms786×body80nan
18.0ms173×body80valid
15.0ms36×body640valid
8.0ms11×body1280valid
8.0ms27×body320valid
2.0ms9×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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b
(* x (log y))
4.4b
(log (- 1.0 y))

rewrite34.0ms

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:
9.0ms
(* z (log (- 1.0 y)))
16.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
2.0ms
(log (- 1.0 y))

series235.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (log (- 1.0 y)))
87.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
44.0ms
(* x (log y))
41.0ms
(log (- 1.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0436628
11539553
25002530

prune263.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite62.0ms

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:
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
17.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
32.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series445.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
180.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
105.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms
(* x (log y))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04351202
116501138
250021111

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
10.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series569.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* x (* 2 (log (cbrt y))))
95.0ms
(* x (log (cbrt y)))
185.0ms
(cbrt y)
192.0ms
(cbrt y)

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0291642
11173565
25001541

prune629.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
31×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1 add-exp-log
11×add-cbrt-cube
9×unpow-prod-down
6×associate-*l*
5×associate-*r*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-unpow sqr-pow
2×*-commutative
1×pow-to-exp pow-pow unpow1/3 pow1/3 pow-exp log-pow unswap-sqr
Counts
4 → 104
Calls
4 calls:
12.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (pow y 1/3)))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series531.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (* 2 (log (cbrt y))))
81.0ms
(* x (log (pow y 1/3)))
181.0ms
(cbrt y)
173.0ms
(pow y 1/3)

simplify54.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0386656
11554517
25001476

prune484.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes257.0ms

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
04126
14126

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.2s23401×body80nan
614.0ms5518×body80valid
372.0ms843×body640valid
328.0ms421×body1280valid
231.0ms781×body320valid
92.0ms464×body160valid