Details

Time bar (total: 6.0s)

sample48.0ms

Algorithm
intervals
Results
8.0ms180×body80valid
8.0ms32×body1280valid
5.0ms30×body1280nan
5.0ms27×body640valid
4.0ms28×body640nan
3.0ms90×body80nan
1.0ms13×body320nan
1.0ms10×body320valid
1.0ms7×body160valid
0.0ms7×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

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: 18.9b

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))
2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite57.0ms

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:
16.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms
(/ (- x y) (- 1.0 y))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
36.0ms
(/ (- x y) (- 1.0 y))
51.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
82.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0488942
11388894
25001876

prune253.0ms

Filtered
120 candidates to 88 candidates (73.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh000
Picked101
Done000
Total1174121

Merged error: 0.1b

Counts
121 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.6b
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
13.0b
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
37×cbrt-prod
34×*-un-lft-identity
15×difference-of-squares
14×add-cube-cbrt cbrt-div
12×pow1 times-frac
10×swap-sqr
9×log-prod flip3-- flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×add-exp-log pow1/3
6×add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
2×log-div div-sub associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus diff-log rem-log-exp prod-exp log-pow *-commutative cbrt-unprod associate--r-
Counts
4 → 110
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
65.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
69.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series326.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
103.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
82.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
52.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05111461
116111335
250011234

prune294.0ms

Filtered
122 candidates to 89 candidates (73.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done000
Total1224126

Merged error: 0.1b

Counts
126 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
0.3b
(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
18×cbrt-prod
12×unpow-prod-down cube-prod
11×add-cube-cbrt
10×pow1 distribute-lft-out--
8×difference-of-squares
6×add-exp-log log-prod add-log-exp
5×log-pow add-cbrt-cube
4×cube-div flip3-- flip--
3×pow-unpow
2×cube-mult log-div cbrt-div times-frac unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log div-sub rem-log-exp pow-exp rem-cbrt-cube associate--r- rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
5.0ms
(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
8.0ms
(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series670.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
440.0ms
(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
50.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
08051310
130451226
250011220

prune235.0ms

Filtered
105 candidates to 66 candidates (62.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh022
Picked101
Done011
Total1054109

Merged error: 0.1b

Counts
109 → 4

localize20.0ms

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)))))))
2.1b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.4b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
13.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite182.0ms

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:
68.0ms
(- (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))
18.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
44.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.1s

Counts
4 → 12
Calls
4 calls:
370.0ms
(- (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))
171.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
343.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify76.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06003250
117953141
250023063

prune480.0ms

Filtered
169 candidates to 107 candidates (63.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh022
Picked101
Done011
Total1685173

Merged error: 0.1b

Counts
173 → 5

regimes232.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03125
13125

end0.0ms

sample1.3s

Algorithm
intervals
Results
278.0ms5669×body80valid
205.0ms849×body1280valid
139.0ms777×body640valid
137.0ms757×body1280nan
110.0ms769×body640nan
95.0ms2612×body80nan
58.0ms460×body320valid
48.0ms435×body320nan
21.0ms245×body160valid
15.0ms211×body160nan

Profiling

Loading profile data...