Details

Time bar (total: 7.4s)

sample148.0ms

Algorithm
intervals
Results
46.0ms741×body80nan
12.0ms180×body80valid
10.0ms23×body640valid
8.0ms10×body1280valid
8.0ms30×body320valid
3.0ms17×body160valid

simplify32.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize17.0ms

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))
5.9b
(log (- 1.0 y))

rewrite71.0ms

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:
40.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
14.0ms
(* z (log (- 1.0 y)))
8.0ms
(* x (log y))
6.0ms
(log (- 1.0 y))

series209.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
61.0ms
(* z (log (- 1.0 y)))
37.0ms
(* x (log y))
38.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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

rewrite135.0ms

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
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 prod-exp associate--l+
10×associate-+r+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×log-pow distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 195
Calls
4 calls:
35.0ms
(* 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)))))))
64.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
9.0ms
(* x (log y))

series284.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
109.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
90.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
34.0ms
(* x (log y))

simplify90.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08711525
136701354
250011353

prune682.0ms

Pruning

7 alts after pruning (7 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 (* z y)) (* 0.5 (* z (pow y 2))))))
0.0b
(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
0.3b
(* x (log y))
6.1b
(* z (pow y 2))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×log-prod
15×add-cube-cbrt *-un-lft-identity add-log-exp
12×associate-*r*
11×add-exp-log
9×distribute-rgt-in distribute-lft-in
8×associate-+r+ add-cbrt-cube
7×pow1
6×associate-+l+ associate-*l* associate--l+
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
2×+-commutative flip3-+ diff-log *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+r- sub-neg pow-prod-down pow-exp log-pow
Counts
4 → 91
Calls
4 calls:
75.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
17.0ms
(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
8.0ms
(* x (log y))
12.0ms
(* z (pow y 2))

series244.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
83.0ms
(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
34.0ms
(* x (log y))
27.0ms
(* z (pow y 2))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0428753
11694680
25001655

prune337.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series891.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt y) (cbrt y))
166.0ms
(cbrt y)
358.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune389.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes196.0ms

Accuracy

0% (0.3b 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
03819
13819

end0.0ms

sample3.0s

Algorithm
intervals
Results
972.0ms23953×body80nan
266.0ms5588×body80valid
225.0ms404×body1280valid
221.0ms822×body640valid
120.0ms757×body320valid
47.0ms466×body160valid