Details

Time bar (total: 14.2s)

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

sample380.0ms

Algorithm
intervals
Results
96.0ms85×body2560valid
61.0ms110×body1280valid
11.0ms32×body640valid
2.0ms7×body320valid
1.0ms9×body160valid
1.0ms13×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0485524
1485524

prune14.0ms

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: 59.8b

Counts
2 → 2

localize61.0ms

Local error

Found 4 expressions with local error:

32.1b
(- (exp (* a eps)) 1.0)
34.4b
(- (exp (* b eps)) 1.0)
37.4b
(- (exp (* (+ a b) eps)) 1.0)
40.8b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
10×add-sqr-sqrt flip3-- *-un-lft-identity flip-- add-log-exp
8×associate-/r/
4×pow1 cbrt-undiv frac-times add-cube-cbrt associate-*r/ div-exp prod-exp cbrt-unprod
3×sub-neg diff-log distribute-lft-out-- difference-of-squares
2×associate-*l/ associate-/l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
4.0ms
(- (exp (* a eps)) 1.0)
4.0ms
(- (exp (* b eps)) 1.0)
4.0ms
(- (exp (* (+ a b) eps)) 1.0)
16.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (exp (* a eps)) 1.0)
7.0ms
(- (exp (* b eps)) 1.0)
13.0ms
(- (exp (* (+ a b) eps)) 1.0)
63.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))

simplify27.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
054581421

prune137.0ms

Filtered
67 candidates to 82 candidates (-22.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh101
Picked011
Done000
Total80484

Merged error: 0.1b

Counts
84 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 1 b) (/ 1 a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×distribute-lft-out
6×times-frac
4×div-inv
3×add-sqr-sqrt add-cube-cbrt add-log-exp
1×pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 19
Calls
1 calls:
12.0ms
(+ (/ 1 b) (/ 1 a))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(+ (/ 1 b) (/ 1 a))

simplify65.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04881196
14881196

prune45.0ms

Filtered
14 candidates to 22 candidates (-57.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New19322
Fresh022
Picked011
Done011
Total19726

Merged error: 0.1b

Counts
26 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
0.6b
(cbrt (+ (/ 1 b) (/ 1 a)))
0.6b
(cbrt (+ (/ 1 b) (/ 1 a)))
0.6b
(cbrt (+ (/ 1 b) (/ 1 a)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
114×cbrt-prod
81×distribute-lft-out
60×div-inv
42×times-frac
37×add-sqr-sqrt
33×cbrt-div swap-sqr
29×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-+ frac-add flip-+
9×frac-times pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 159
Calls
4 calls:
34.0ms
(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
12.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))
12.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))
12.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
20.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))
24.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))
21.0ms
(cbrt (+ (/ 1 b) (/ 1 a)))

simplify77.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
061842287

prune261.0ms

Filtered
87 candidates to 171 candidates (-96.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1701171
Fresh134
Picked011
Done022
Total1717178

Merged error: 0.1b

Counts
178 → 7

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ (/ 1 b) (/ 1 a)))
0.0b
(+ (/ 1 b) (/ 1 a))
3.1b
(exp (log (+ (/ 1 b) (/ 1 a))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
21×distribute-lft-out
20×log-prod
18×times-frac
12×add-sqr-sqrt add-cube-cbrt div-inv
10×exp-sum
6×log-div
5×pow1 add-log-exp
4×add-exp-log exp-prod
3×flip3-+ exp-diff frac-add add-cbrt-cube flip-+
2×log-pow
1×+-commutative rem-log-exp sum-log rem-exp-log
Counts
3 → 66
Calls
3 calls:
12.0ms
(log (+ (/ 1 b) (/ 1 a)))
15.0ms
(+ (/ 1 b) (/ 1 a))
13.0ms
(exp (log (+ (/ 1 b) (/ 1 a))))

series13.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(log (+ (/ 1 b) (/ 1 a)))
2.0ms
(+ (/ 1 b) (/ 1 a))
3.0ms
(exp (log (+ (/ 1 b) (/ 1 a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04906725
14906725

prune82.0ms

Filtered
44 candidates to 75 candidates (-70.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New74175
Fresh033
Picked011
Done033
Total74882

Merged error: 0.1b

Counts
82 → 8

regimes287.0ms

Accuracy

78.7% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05186
15186

end0.0ms

sample10.7s

Algorithm
intervals
Results
2.7s2599×body2560valid
1.9s3385×body1280valid
364.0ms1092×body640valid
76.0ms339×body320valid
32.0ms461×body80valid
18.0ms124×body160valid

Profiling

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