Details

Time bar (total: 12.0s)

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%49.9%50.1%0
0%49.9%50.1%1
0%49.9%50.1%2
0%49.9%50.1%3
0%49.9%50.1%4
0%49.9%50.1%5
0%49.9%50.1%6
0%49.9%50.1%7
0%49.9%50.1%8
0.4%49.5%50.1%9
0.4%49.3%50.3%10
0.6%48.9%50.5%11
1.1%48.1%50.9%12
1.5%47.3%51.2%13
1.7%46.9%51.5%14

sample203.0ms

Algorithm
intervals
Results
92.0ms88×body2560valid
59.0ms102×body1280valid
13.0ms39×body640valid
7.0ms16×body1280overflowed
6.0ms308×pre80true
3.0ms15×body320overflowed
3.0ms12×body320valid
2.0ms4×body2560overflowed
2.0ms7×body640overflowed
1.0ms8×body160valid
0.0ms7×body80overflowed
0.0ms7×body80valid
0.0ms3×body160overflowed

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0502124

prune13.0ms

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: 61.8b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (pow (exp (+ a b)) eps) 1.0)
0.2b
(- (pow (exp a) eps) 1.0)
0.2b
(pow (exp b) eps)
0.7b
(pow (exp a) eps)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
10×add-cube-cbrt
8×unpow-prod-down pow-pow add-log-exp
6×pow1 pow-unpow exp-prod difference-of-squares
4×add-exp-log add-cbrt-cube sqr-pow
2×pow-to-exp sub-neg flip3-- diff-log pow-exp flip-- distribute-lft-out--
Counts
4 → 70
Calls
4 calls:
8.0ms
(- (pow (exp (+ a b)) eps) 1.0)
5.0ms
(- (pow (exp a) eps) 1.0)
3.0ms
(pow (exp b) eps)
5.0ms
(pow (exp a) eps)

series49.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (pow (exp (+ a b)) eps) 1.0)
10.0ms
(- (pow (exp a) eps) 1.0)
9.0ms
(pow (exp b) eps)
9.0ms
(pow (exp a) eps)

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04951686
14951686

prune112.0ms

Filtered
60 candidates to 82 candidates (-36.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh011
Picked101
Done000
Total80484

Merged error: 53.7b

Counts
84 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (pow (exp (+ a b)) eps) 1.0)
0.2b
(pow (exp b) eps)
4.1b
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))))
4.9b
(* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×associate-*r*
23×add-exp-log add-cbrt-cube
17×*-un-lft-identity associate-*r/
12×pow1
11×add-cube-cbrt
10×prod-exp cbrt-unprod
9×difference-of-squares
8×frac-times associate-/r/
7×flip3-- times-frac flip--
6×unpow-prod-down flip3-+ flip-+ add-log-exp
4×pow-pow associate-*l* pow-prod-down associate-*l/ sqr-pow
3×cbrt-undiv sub-neg pow-unpow exp-prod div-exp distribute-lft-out--
2×*-commutative
1×distribute-rgt-in pow-to-exp distribute-lft-in diff-log pow-exp div-inv unswap-sqr
Counts
4 → 108
Calls
4 calls:
7.0ms
(- (pow (exp (+ a b)) eps) 1.0)
3.0ms
(pow (exp b) eps)
22.0ms
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))))
13.0ms
(* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))

series509.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (pow (exp (+ a b)) eps) 1.0)
9.0ms
(pow (exp b) eps)
447.0ms
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))))
33.0ms
(* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050392771

prune324.0ms

Filtered
89 candidates to 120 candidates (-34.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1137120
Fresh123
Picked101
Done000
Total1159124

Merged error: 48.4b

Counts
124 → 9

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (pow (exp b) eps) 1.0)
0.2b
(- (pow (exp (+ a b)) eps) 1.0)
0.2b
(pow (exp b) eps)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×*-un-lft-identity
7×add-log-exp
6×add-cube-cbrt difference-of-squares
5×unpow-prod-down
4×pow1 pow-pow
3×add-exp-log pow-unpow exp-prod add-cbrt-cube sqr-pow
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×pow-to-exp pow-exp
Counts
3 → 50
Calls
3 calls:
7.0ms
(- (pow (exp b) eps) 1.0)
7.0ms
(- (pow (exp (+ a b)) eps) 1.0)
3.0ms
(pow (exp b) eps)

series40.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (pow (exp b) eps) 1.0)
20.0ms
(- (pow (exp (+ a b)) eps) 1.0)
9.0ms
(pow (exp b) eps)

simplify69.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04958552
14958552

prune134.0ms

Filtered
42 candidates to 59 candidates (-40.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh358
Picked011
Done000
Total60868

Merged error: 48.2b

Counts
68 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (pow (exp (+ a b)) eps) 1.0)
0.2b
(pow (exp b) eps)
0.2b
(pow (exp b) eps)
0.2b
(pow (exp b) eps)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
12×pow-pow
10×unpow-prod-down
9×pow-unpow exp-prod
7×pow1
6×add-log-exp
4×add-exp-log add-cbrt-cube sqr-pow
3×pow-to-exp pow-exp difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 75
Calls
4 calls:
7.0ms
(- (pow (exp (+ a b)) eps) 1.0)
3.0ms
(pow (exp b) eps)
3.0ms
(pow (exp b) eps)
3.0ms
(pow (exp b) eps)

series47.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (pow (exp (+ a b)) eps) 1.0)
9.0ms
(pow (exp b) eps)
9.0ms
(pow (exp b) eps)
9.0ms
(pow (exp b) eps)

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04990619
14990619

prune352.0ms

Filtered
58 candidates to 87 candidates (-50.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh066
Picked011
Done011
Total87895

Merged error: 48.2b

Counts
95 → 8

regimes334.0ms

Accuracy

0% (4.0b remaining)

Error of 49.6b against oracle of 45.6b and baseline of 49.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031
13031

end0.0ms

analyze1.6s

Algorithm
search
Search
TrueOtherFalseIter
0%49.9%50.1%0
0%49.9%50.1%1
0%49.9%50.1%2
0%49.9%50.1%3
0%49.9%50.1%4
0%49.9%50.1%5
0%49.9%50.1%6
0%49.9%50.1%7
0%49.9%50.1%8
0.4%49.5%50.1%9
0.4%49.3%50.3%10
0.6%48.9%50.5%11
1.1%48.1%50.9%12
1.5%47.3%51.2%13
1.7%46.9%51.5%14

sample6.2s

Algorithm
intervals
Results
2.7s2541×body2560valid
1.9s3417×body1280valid
368.0ms1076×body640valid
282.0ms672×body1280overflowed
195.0ms9714×pre80true
105.0ms373×body640overflowed
92.0ms140×body2560overflowed
82.0ms363×body320valid
39.0ms179×body320overflowed
33.0ms464×body80valid
21.0ms139×body160valid
19.0ms250×body80overflowed
14.0ms99×body160overflowed
2.0ms1×body2560invalid

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