Details

Time bar (total: 7.5s)

sample95.0ms

Algorithm
intervals
Results
35.0ms797×body80nan
8.0ms181×body80valid
7.0ms26×body640valid
7.0ms12×body1280valid
3.0ms15×body320valid
2.0ms24×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

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))
5.4b
(log (- 1.0 y))

rewrite31.0ms

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:
7.0ms
(* 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))

series239.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* z (log (- 1.0 y)))
86.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
37.0ms
(* x (log y))
47.0ms
(log (- 1.0 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0436628
11539553
25002530

prune273.0ms

Pruning

8 alts after pruning (8 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 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
6.6b
(* z (pow y 2))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-log-exp
13×*-un-lft-identity
12×associate-*r*
11×add-exp-log add-cube-cbrt
8×add-cbrt-cube
7×pow1
6×log-prod diff-log associate-*l*
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
3×distribute-rgt-in distribute-lft-in
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×+-commutative associate--l- pow-to-exp associate-+r- sub-neg flip3-- flip3-+ pow-prod-down pow-exp associate--l+ log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
279.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series362.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
110.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
40.0ms
(* x (log y))
29.0ms
(* z (pow y 2))

simplify62.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0424822
11769732
25002705

prune358.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
6.6b
(* z (pow y 2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
24×cbrt-prod associate-+l+
21×add-cube-cbrt *-un-lft-identity
12×associate-+r+
9×add-exp-log
8×associate-*r*
6×add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp
2×pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
16.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* z (pow y 2))

series503.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
191.0ms
(cbrt y)
183.0ms
(cbrt y)
31.0ms
(* z (pow y 2))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0402637
11429528
25001467

prune597.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)
6.6b
(* z (pow y 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
31×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt
24×associate-+l+
22×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
14×associate-+r+
13×unpow-prod-down
10×add-exp-log
8×associate-*r*
6×add-cbrt-cube add-log-exp
5×pow1 sqr-pow
4×unswap-sqr
3×pow-unpow associate-*l* prod-exp
2×pow-to-exp pow-exp unpow2
1×+-commutative pow-pow flip3-+ unpow1/3 pow1/3 sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 106
Calls
4 calls:
14.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)
6.0ms
(* z (pow y 2))

series718.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
384.0ms
(cbrt y)
178.0ms
(pow y 1/3)
29.0ms
(* z (pow y 2))

simplify64.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0491668
11703573
25002442

prune653.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes136.0ms

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
04021
14021

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.0s24371×body80nan
264.0ms5526×body80valid
251.0ms872×body640valid
239.0ms410×body1280valid
124.0ms747×body320valid
49.0ms468×body160valid