Details

Time bar (total: 4.8s)

sample96.0ms

Algorithm
intervals
Results
28.0ms51×body1280valid
25.0ms346×body80valid
13.0ms29×body640valid
5.0ms25×body320valid
5.0ms77×body80overflowed
1.0ms8×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (35.0ms)

IterNodesCost
04616
112216
234716
3129516
4500115

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 27.0b

Counts
2 → 1

localize17.0ms

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)))
2.4b
(- (* (+ 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:
12.0ms
(* (+ 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)))
20.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x))))
30.0ms
(exp (neg (* (- 1.0 eps) x)))
26.0ms
(exp (neg (* (+ 1.0 eps) x)))
197.0ms
(- (* (+ 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 (106.0ms)

IterNodesCost
011593849
142323585
250013574

prune371.0ms

Filtered
167 candidates to 86 candidates (51.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1634167
Fresh000
Picked101
Done000
Total1644168

Merged error: 0.2b

Counts
168 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
6.8b
(- (+ (* 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)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 0.6666666666666667 (pow x 3))
38.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

simplify34.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0207270
1894242
25002238

prune101.0ms

Filtered
51 candidates to 31 candidates (60.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh033
Picked101
Done000
Total50555

Merged error: 0.2b

Counts
55 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
6.8b
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

rewrite14.0ms

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 associate-+r+ sum-log sqr-pow
1×+-commutative cube-mult pow-to-exp associate-+r- sub-neg flip3-+ diff-log unpow3 pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 46
Calls
2 calls:
6.0ms
(* 0.6666666666666667 (pow x 3))
6.0ms
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

series79.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 0.6666666666666667 (pow x 3))
38.0ms
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0203264
1840241
25001240

prune102.0ms

Filtered
52 candidates to 32 candidates (61.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51152
Fresh044
Picked101
Done000
Total52557

Merged error: 0.2b

Counts
57 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
0.6b
(log (exp (* 0.6666666666666667 (pow x 3))))
6.8b
(- (+ (log (exp (* 0.6666666666666667 (pow x 3)))) 2.0) (* 1.0 (pow x 2)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
8×add-exp-log add-cube-cbrt *-un-lft-identity add-log-exp
5×add-cbrt-cube
4×pow1 unpow-prod-down cube-prod unswap-sqr
3×log-prod associate-*l* prod-exp log-pow
2×diff-log sqr-pow
1×cube-mult pow-to-exp sub-neg exp-prod flip3-- exp-to-pow unpow3 rem-log-exp pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
3 → 59
Calls
3 calls:
6.0ms
(* 0.6666666666666667 (pow x 3))
2.0ms
(log (exp (* 0.6666666666666667 (pow x 3))))
11.0ms
(- (+ (log (exp (* 0.6666666666666667 (pow x 3)))) 2.0) (* 1.0 (pow x 2)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* 0.6666666666666667 (pow x 3))
40.0ms
(log (exp (* 0.6666666666666667 (pow x 3))))
39.0ms
(- (+ (log (exp (* 0.6666666666666667 (pow x 3)))) 2.0) (* 1.0 (pow x 2)))

simplify36.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0232370
1960314
25001307

prune137.0ms

Filtered
68 candidates to 43 candidates (63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done000
Total68573

Merged error: 0.2b

Counts
73 → 5

regimes101.0ms

Accuracy

96.1% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 15.9b

bsearch159.0ms

Steps
ItersRangePoint
9
0.23412953424089325
32407.745953778784
10.147626966380223

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05438
16238
26238

end0.0ms

sample2.8s

Algorithm
intervals
Results
933.0ms1738×body1280valid
743.0ms10107×body80valid
430.0ms1292×body640valid
147.0ms656×body320valid
143.0ms1997×body80overflowed
45.0ms313×body160valid

Profiling

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