Details

Time bar (total: 5.0s)

sample199.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
34.0ms58×body1280valid
25.0ms316×body80valid
17.0ms49×body640valid
7.0ms85×body80overflowed
4.0ms15×body320valid
2.0ms13×body160valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (37.0ms)

IterNodesCost
04616
112216
234716
3129516
4500115

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.5b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x))))
0.0b
(exp (neg (* (- 1.0 eps) x)))
0.0b
(exp (neg (* (+ 1.0 eps) x)))
2.8b
(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
78×exp-neg
76×frac-times
59×neg-sub0 exp-diff
38×associate-*r/ associate-*l/
30×flip3-+ flip-+
28×flip3-- flip--
19×un-div-inv
12×exp-prod
10×add-sqr-sqrt *-un-lft-identity add-log-exp
8×add-cube-cbrt
6×pow1 add-cbrt-cube
5×add-exp-log
4×associate-*l* rem-exp-log
3×associate-*r*
2×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in neg-log
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 155
Calls
4 calls:
15.0ms
(* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x))))
4.0ms
(exp (neg (* (- 1.0 eps) x)))
3.0ms
(exp (neg (* (+ 1.0 eps) x)))
18.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x))))
6.0ms
(exp (neg (* (- 1.0 eps) x)))
6.0ms
(exp (neg (* (+ 1.0 eps) x)))
46.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

simplify142.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
011593849
142323585
250013574

prune337.0ms

Filtered
86 candidates to 167 candidates (-94.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1652167
Fresh101
Picked101
Done000
Total1672169

Merged error: 0.4b

Counts
169 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
7.2b
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log add-log-exp
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- unpow3 pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
6.0ms
(* 0.6666666666666667 (pow x 3))
7.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* 0.6666666666666667 (pow x 3))
5.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

simplify36.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0207270
1894242
25002238

prune91.0ms

Filtered
31 candidates to 51 candidates (-64.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh011
Picked101
Done000
Total49453

Merged error: 0.4b

Counts
53 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 0.6666666666666667 x) x)
0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
7.2b
(- (+ (* (* (* 0.6666666666666667 x) x) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube add-log-exp
6×unpow-prod-down cube-prod
3×pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow-pow pow1/3 diff-log
1×cube-mult pow-to-exp sub-neg flip3-- unpow3 associate-*l* pow-exp associate--l+ sum-log *-commutative flip-- rem-cube-cbrt sqr-pow
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (* 0.6666666666666667 x) x)
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
11.0ms
(- (+ (* (* (* 0.6666666666666667 x) x) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 0.6666666666666667 x) x)
21.0ms
(cbrt x)
34.0ms
(pow (cbrt x) 3)
8.0ms
(- (+ (* (* (* 0.6666666666666667 x) x) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0351412
11878356
25001322

prune116.0ms

Filtered
47 candidates to 85 candidates (-80.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh033
Picked101
Done000
Total85489

Merged error: 0.4b

Counts
89 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
7.2b
(- (+ (* (cbrt (* (pow x 6) (pow 0.6666666666666667 3))) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))
17.8b
(cbrt (* (pow x 6) (pow 0.6666666666666667 3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-log-exp
6×unpow-prod-down cube-prod
5×pow1 add-exp-log
4×add-cbrt-cube
3×pow-unpow pow1/3
2×pow-pow diff-log
1×cube-mult pow-to-exp sub-neg flip3-- unpow3 pow-exp associate--l+ sum-log flip-- rem-cube-cbrt sqr-pow
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
10.0ms
(- (+ (* (cbrt (* (pow x 6) (pow 0.6666666666666667 3))) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))
5.0ms
(cbrt (* (pow x 6) (pow 0.6666666666666667 3)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
29.0ms
(pow (cbrt x) 3)
7.0ms
(- (+ (* (cbrt (* (pow x 6) (pow 0.6666666666666667 3))) (pow (cbrt x) 3)) 2.0) (* 1.0 (pow x 2)))
4.0ms
(cbrt (* (pow x 6) (pow 0.6666666666666667 3)))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0296439
11287390
25002357

prune132.0ms

Filtered
45 candidates to 76 candidates (-68.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0.4b

Counts
80 → 4

regimes126.0ms

Accuracy

97.1% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 16.6b

bsearch103.0ms

Steps
ItersRangePoint
10
0.003262827880282272
13510149154.272478
114.59574835320754

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05328
15928
25928

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
952.0ms1694×body1280valid
821.0ms10141×body80valid
457.0ms1284×body640valid
152.0ms1925×body80overflowed
143.0ms599×body320valid
51.0ms326×body160valid

Profiling

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