Details

Time bar (total: 5.5s)

sample36.0ms

Algorithm
intervals
Results
8.0ms198×body80valid
5.0ms27×body1280valid
3.0ms98×body80nan
2.0ms16×body640valid
2.0ms15×body640nan
2.0ms10×body1280nan
1.0ms11×body320valid
1.0ms8×body320nan
0.0ms4×body160valid
0.0ms4×body160nan

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 1

localize9.0ms

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))))

rewrite45.0ms

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:
13.0ms
(/ (- x y) (- 1.0 y))
14.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series202.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- x y) (- 1.0 y))
58.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
98.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0397707
11115663
25001658

prune244.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New91394
Fresh000
Picked101
Done000
Total92395

Merged error: 0.1b

Counts
95 → 3

localize15.0ms

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)))))

rewrite15.0ms

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:
3.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
3.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
3.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (- 1.0 y))
106.0ms
(cbrt (- 1.0 y))
103.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
66.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0338876
11019796
25001759

prune209.0ms

Filtered
68 candidates to 57 candidates (83.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done000
Total68371

Merged error: 0.1b

Counts
71 → 3

localize28.0ms

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))))))

rewrite194.0ms

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:
72.0ms
(- (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)))))))
43.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
49.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
20.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
444.0ms
(- (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)))))))
224.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
419.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
197.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify97.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06003250
117953141
250023065

prune550.0ms

Filtered
169 candidates to 107 candidates (63.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1681169
Fresh011
Picked011
Done011
Total1684172

Merged error: 0.1b

Counts
172 → 4

localize14.0ms

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))

rewrite92.0ms

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:
22.0ms
(- (/ x (pow y 2)) (/ 1 y))
32.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
27.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
6.0ms
(/ x (pow y 2))

series190.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (/ x (pow y 2)) (/ 1 y))
39.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
80.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
28.0ms
(/ x (pow y 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05191121
118961014
250021005

prune295.0ms

Filtered
127 candidates to 82 candidates (64.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh011
Picked011
Done022
Total1265131

Merged error: 0.1b

Counts
131 → 5

regimes138.0ms

Accuracy

99.8% (0.0b remaining)

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

bsearch167.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823
13823

end0.0ms

sample1.1s

Algorithm
intervals
Results
237.0ms5736×body80valid
173.0ms804×body1280valid
116.0ms771×body640valid
109.0ms3704×body80nan
60.0ms361×body1280nan
56.0ms377×body640nan
52.0ms453×body320valid
19.0ms212×body320nan
17.0ms236×body160valid
7.0ms119×body160nan