Details

Time bar (total: 18.0s)

sample116.0ms

Algorithm
intervals
Results
55.0ms101×body1280valid
25.0ms80×body640valid
13.0ms258×body80nan
10.0ms49×body320valid
3.0ms20×body160valid
0.0ms6×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
6.0b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
11.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
130.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify128.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune186.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×*-un-lft-identity add-log-exp
4×difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg unpow-prod-down flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ unpow2 sqr-pow
Counts
1 → 20
Calls
1 calls:
104.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify56.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0123209
1382192
21701192
35001192

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))
0.0b
(pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)
0.1b
(pow (pow eps 2) 3)
39.2b
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
270×add-sqr-sqrt
186×unpow-prod-down
167×*-un-lft-identity
160×difference-of-squares
159×times-frac
148×cube-prod
92×sqr-pow
70×add-cube-cbrt
53×associate-/l*
36×distribute-lft-out--
34×unpow2
21×distribute-lft-out
9×add-exp-log add-log-exp
8×add-cbrt-cube
6×pow-unpow
5×pow1 pow-exp
4×difference-cubes
3×pow-to-exp flip3-+ associate-/r* sum-log flip-+
2×cube-div cube-mult pow-pow unpow3 associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative associate-+l+ flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 309
Calls
4 calls:
241.0ms
(+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))
70.0ms
(pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)
3.0ms
(pow (pow eps 2) 3)
1.0s
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))
48.0ms
(pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)
43.0ms
(pow (pow eps 2) 3)
657.0ms
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))

simplify210.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
08959579
142229296
250019096

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

12.1b
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))
25.1b
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
25.1b
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
25.2b
(/ (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))

rewrite3.8s

Algorithm
rewrite-expression-head
Rules
4488×times-frac
4014×add-sqr-sqrt
2640×*-un-lft-identity
2256×sqrt-prod
2058×unpow-prod-down
1960×difference-of-squares
1666×cube-prod
1562×add-cube-cbrt
1078×sqr-pow
441×distribute-lft-out--
392×unpow2
377×associate-/l*
196×distribute-lft-out
49×difference-cubes
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 2716
Calls
4 calls:
994.0ms
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))
332.0ms
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
334.0ms
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
1.6s
(/ (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))

series1.3s

Counts
4 → 12
Calls
4 calls:
411.0ms
(/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))
143.0ms
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
145.0ms
(sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))
643.0ms
(/ (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))))

simplify1.5s

Algorithm
egg-herbie
Counts
2728 → 2728
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
03334173322
15002165653

prune3.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.8s3416×body1280valid
803.0ms2534×body640valid
409.0ms8017×body80nan
249.0ms1243×body320valid
81.0ms596×body160valid
15.0ms211×body80valid