Details

Time bar (total: 5.2s)

sample38.0ms

Algorithm
intervals
Results
7.0ms183×body80valid
6.0ms29×body1280valid
3.0ms108×body80nan
3.0ms22×body640valid
2.0ms13×body640nan
2.0ms10×body1280nan
1.0ms13×body320valid
1.0ms9×body160valid
0.0ms5×body320nan
0.0ms4×body160nan

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 18.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.5b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite41.0ms

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:
8.0ms
(/ (- x y) (- 1.0 y))
15.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series191.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- x y) (- 1.0 y))
57.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
94.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0397707
11115663
25001658

prune241.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New89594
Fresh000
Picked101
Done000
Total90595

Merged error: 0.2b

Counts
95 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.5b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
4.4b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 y))
14.0ms
(* (- x y) (/ 1 (- 1.0 y)))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
3.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1 (- 1.0 y))
39.0ms
(* (- x y) (/ 1 (- 1.0 y)))
57.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
90.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480836
12036736
25001688

prune235.0ms

Filtered
129 candidates to 82 candidates (63.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done000
Total1295134

Merged error: 0.2b

Counts
134 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (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)))))))
2.5b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
10.8b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
12.0b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite204.0ms

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:
76.0ms
(- (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)))))))
49.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
50.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
19.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
404.0ms
(- (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)))))))
202.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
364.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
192.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06003250
117953141
250023065

prune541.0ms

Filtered
169 candidates to 107 candidates (63.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh033
Picked011
Done011
Total1695174

Merged error: 0.2b

Counts
174 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.5b
(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b
(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
4.4b
(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
50×*-un-lft-identity
28×times-frac
20×add-cube-cbrt
18×difference-of-squares
16×log-prod
15×log-pow distribute-lft-out--
12×exp-prod
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-/r* associate-/l*
3×flip3-- div-sub exp-sum flip--
2×sub-neg rem-log-exp associate-/r/ associate-/l/ associate--r-
1×cbrt-undiv log-div frac-2neg exp-diff diff-log div-exp clear-num div-inv
Counts
4 → 109
Calls
4 calls:
8.0ms
(/ (- x y) (- 1.0 y))
19.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms
(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms
(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (- x y) (- 1.0 y))
61.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
54.0ms
(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
95.0ms
(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0443897
11271817
25001812

prune282.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done022
Total1215126

Merged error: 0.2b

Counts
126 → 5

regimes211.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch140.0ms

Steps
ItersRangePoint
11
4.150842200292333e-05
3.0895353218301726e+30
44557667.85617049
8
-20251402574.662838
-71914824.75180596
-130359106.1396007

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample1.0s

Algorithm
intervals
Results
225.0ms5789×body80valid
161.0ms793×body1280valid
105.0ms733×body640valid
102.0ms3769×body80nan
58.0ms375×body1280nan
44.0ms366×body640nan
44.0ms444×body320valid
19.0ms216×body320nan
16.0ms241×body160valid
7.0ms131×body160nan