Details

Time bar (total: 2.3s)

analyze307.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14

sample30.0ms

Algorithm
intervals
Results
12.0ms67×body1280valid
7.0ms63×body640valid
2.0ms28×body320valid
2.0ms81×body80valid
1.0ms17×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
157

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
4.7b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04925575
14925575

prune75.0ms

Filtered
41 candidates to 56 candidates (-36.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1/12) (/ 1 x))
0.3b
(* x 1/12)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* x 1/12) (/ 1 x))
3.0ms
(* x 1/12)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x 1/12) (/ 1 x))
2.0ms
(* x 1/12)

simplify38.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05537225

prune43.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh022
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x 1/12) (/ 1 x)))
0.2b
(* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))
0.3b
(* x 1/12)
0.3b
(* x 1/12)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×pow1
21×sqrt-prod
17×add-cube-cbrt *-un-lft-identity
14×sqrt-div
12×associate-*r* associate-*l*
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2
8×swap-sqr
7×flip3-+ flip-+
6×unswap-sqr
5×pow-prod-down pow-prod-up
4×frac-times add-log-exp
3×prod-exp pow-sqr *-commutative cbrt-unprod
2×associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 108
Calls
4 calls:
5.0ms
(sqrt (+ (* x 1/12) (/ 1 x)))
15.0ms
(* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))
3.0ms
(* x 1/12)
3.0ms
(* x 1/12)

series12.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ (* x 1/12) (/ 1 x)))
5.0ms
(* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))
2.0ms
(* x 1/12)
2.0ms
(* x 1/12)

simplify75.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048921104
148921104

prune139.0ms

Filtered
67 candidates to 120 candidates (-79.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done011
Total1204124

Merged error: 0.0b

Counts
124 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
4.7b
(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 96
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051141131

prune93.0ms

Filtered
65 candidates to 105 candidates (-61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1041105
Fresh101
Picked101
Done022
Total1063109

Merged error: 0.0b

Counts
109 → 3

regimes32.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.7b

bsearch20.0ms

Steps
ItersRangePoint
10
-66523853434.74489
-2.0634241421081868e-08
-0.0023147181705364885

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02122
12122

end0.0ms

analyze307.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14

sample853.0ms

Algorithm
intervals
Results
398.0ms2237×body1280valid
185.0ms1593×body640valid
66.0ms2879×body80valid
62.0ms827×body320valid
24.0ms464×body160valid
0.0ms1×body1280invalid

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