Details

Time bar (total: 3.8s)

sample45.0ms

Algorithm
intervals
Results
9.0ms190×body80valid
5.0ms23×body1280valid
4.0ms22×body640valid
3.0ms19×body1280nan
3.0ms24×body640nan
2.0ms74×body80nan
2.0ms14×body320valid
1.0ms12×body320nan
1.0ms15×body160nan
1.0ms7×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.3b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
2.0b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.6b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 108
Calls
4 calls:
15.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms
(/ (- x y) (- 1.0 y))
12.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms
(/ (- x y) (- 1.0 y))
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0495950
11433898
25002876

prune195.0ms

Filtered
120 candidates to 88 candidates (26.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh000
Picked101
Done000
Total1174121

Merged error: 0.1b

Counts
121 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
4.6b
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
11.9b
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

rewrite12.0ms

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 (- x y))
3.0ms
(cbrt (- x y))
2.0ms
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
3.0ms
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x y))
28.0ms
(cbrt (- x y))
13.0ms
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
10.0ms
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

simplify92.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0315802
1911706
24010669
35002657

prune98.0ms

Filtered
68 candidates to 54 candidates (20.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done000
Total68472

Merged error: 0.1b

Counts
72 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (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)))))))
2.0b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.5b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
12.6b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite170.0ms

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:
63.0ms
(- (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)))))))
42.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
42.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
16.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (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)))))))
52.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
63.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
35.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06143258
118883145
250013064

prune555.0ms

Filtered
169 candidates to 107 candidates (36.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh022
Picked011
Done011
Total1694173

Merged error: 0.1b

Counts
173 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (pow y 2)) (/ 1 y))
3.0b
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
3.7b
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
8.4b
(/ x (pow y 2))

rewrite81.0ms

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))
24.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
26.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
5.0ms
(/ x (pow y 2))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (/ x (pow y 2)) (/ 1 y))
8.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
12.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
5.0ms
(/ x (pow y 2))

simplify70.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05261123
119331013
250011004

prune174.0ms

Filtered
127 candidates to 82 candidates (35.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh011
Picked011
Done022
Total1265131

Merged error: 0.1b

Counts
131 → 5

regimes164.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.8b

bsearch75.0ms

Steps
ItersRangePoint
10
0.9239288319739692
43212209514.887886
53437720.3991662
9
-4616543624.029198
-585.6057384684698
-91569278.76305991

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03722
13722

end0.0ms

sample1.4s

Algorithm
intervals
Results
264.0ms5631×body80valid
201.0ms831×body1280valid
136.0ms781×body640valid
127.0ms707×body1280nan
106.0ms768×body640nan
91.0ms2606×body80nan
61.0ms495×body320valid
46.0ms442×body320nan
21.0ms262×body160valid
17.0ms245×body160nan

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