Details

Time bar (total: 5.8s)

sample54.0ms

Algorithm
intervals
Results
13.0ms198×body80valid
11.0ms27×body1280valid
5.0ms98×body80nan
4.0ms16×body640valid
3.0ms15×body640nan
3.0ms10×body1280nan
2.0ms11×body320valid
1.0ms8×body320nan
0.0ms4×body160valid
0.0ms4×body160nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.4b
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
11.0ms
(/ (- x y) (- 1.0 y))
23.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- x y) (- 1.0 y))
53.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0397707
11115663
25001658

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
6.0b
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
8.7b
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
7×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×cbrt-div flip3-- add-cbrt-cube flip--
3×log-prod
2×log-div pow1/3 distribute-lft-out-- difference-of-squares
1×sub-neg diff-log rem-log-exp log-pow
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
2.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
92.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
59.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0338876
11019796
25001759

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.4b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
15.3b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
16.0b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
73×difference-of-squares
72×log-prod
54×unpow-prod-down cube-prod
42×*-un-lft-identity
33×associate--l+
30×sqr-pow
24×times-frac
19×distribute-lft-out--
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log log-pow add-log-exp
4×flip3-- add-cbrt-cube flip--
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 157
Calls
4 calls:
120.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
77.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
76.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
41.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
369.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
183.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
337.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
168.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06003250
117953141
250023065

prune533.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (pow y 2)) (/ 1 y))
2.8b
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
2.9b
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
8.5b
(/ x (pow y 2))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
48×times-frac
34×*-un-lft-identity
22×add-cube-cbrt
15×unpow-prod-down difference-of-squares
10×add-exp-log
8×associate-/r* add-log-exp
7×unpow2 sqr-pow
6×associate-*r/ frac-add add-cbrt-cube
5×pow1 log-div
4×associate-+l+
3×sub-neg log-prod flip3-- div-exp frac-sub flip-- associate-/l* distribute-lft-out--
2×distribute-rgt-in distribute-lft-in flip3-+ flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp frac-2neg diff-log rem-log-exp pow-exp clear-num sum-log log-pow
Counts
4 → 115
Calls
4 calls:
37.0ms
(- (/ x (pow y 2)) (/ 1 y))
38.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
33.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
6.0ms
(/ x (pow y 2))

series157.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ x (pow y 2)) (/ 1 y))
36.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
64.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
26.0ms
(/ x (pow y 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05191121
118961014
250021005

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes127.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 16.4b

bsearch169.0ms

Steps
ItersRangePoint
10
0.000608309806168642
661184882896.0549
28334228.202803146
9
-591661204.423747
-1674.3921567199736
-142834896.66603637

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823
13823

end0.0ms

sample1.6s

Algorithm
intervals
Results
376.0ms5736×body80valid
270.0ms804×body1280valid
201.0ms3704×body80nan
192.0ms771×body640valid
103.0ms361×body1280nan
83.0ms377×body640nan
81.0ms453×body320valid
36.0ms212×body320nan
28.0ms236×body160valid
13.0ms119×body160nan