Details

Time bar (total: 11.7s)

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

sample205.0ms

Algorithm
intervals
Results
89.0ms89×body2560valid
66.0ms109×body1280valid
10.0ms30×body640valid
8.0ms20×body1280overflowed
6.0ms301×pre80true
4.0ms15×body320valid
3.0ms10×body640overflowed
2.0ms3×body2560overflowed
1.0ms5×body160valid
1.0ms8×body80valid
1.0ms8×body80overflowed
0.0ms2×body320overflowed
0.0ms2×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: 61.7b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.9b
(- (exp (* b eps)) 1.0)
3.9b
(- (exp (* a eps)) 1.0)
5.3b
(- (exp (* (+ a b) eps)) 1.0)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
10×add-log-exp
9×flip3-- flip--
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
5×sub-neg associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
4×frac-times
3×diff-log
2×associate-*r/ associate-*l/
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
11.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
4.0ms
(- (exp (* b eps)) 1.0)
3.0ms
(- (exp (* a eps)) 1.0)
4.0ms
(- (exp (* (+ a b) eps)) 1.0)

series40.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
7.0ms
(- (exp (* b eps)) 1.0)
7.0ms
(- (exp (* a eps)) 1.0)
14.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049671144
149671144

prune149.0ms

Filtered
70 candidates to 83 candidates (-18.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New78583
Fresh011
Picked101
Done000
Total79685

Merged error: 50.6b

Counts
85 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (exp (* a eps)) 1.0)
3.9b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2)))))))
5.3b
(- (exp (* (+ a b) eps)) 1.0)
13.4b
(* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×pow1 *-un-lft-identity
8×associate-/r/ add-log-exp
7×prod-exp cbrt-unprod
6×flip3-- associate-*r/ flip--
5×add-cube-cbrt
4×cbrt-undiv frac-times flip3-+ div-exp flip-+
3×associate-*r* pow-prod-down
2×sub-neg diff-log associate-*l/ associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (exp (* a eps)) 1.0)
16.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2)))))))
4.0ms
(- (exp (* (+ a b) eps)) 1.0)
10.0ms
(* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (exp (* a eps)) 1.0)
643.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2)))))))
13.0ms
(- (exp (* (+ a b) eps)) 1.0)
21.0ms
(* (* b b) (+ (* b (* 1/6 (pow eps 3))) (* eps (* eps 1/2))))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
059182417

prune195.0ms

Filtered
69 candidates to 92 candidates (-33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh235
Picked101
Done000
Total94498

Merged error: 0.0b

Counts
98 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(+ (/ 1 b) (/ 1 a))

series3.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ (/ 1 b) (/ 1 a))

simplify78.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04936196
14936196

prune38.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh033
Picked011
Done000
Total21526

Merged error: 0.0b

Counts
26 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ (+ b a) (* b a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/l*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (+ b a) (* b a))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (+ b a) (* b a))

simplify56.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05427241

prune22.0ms

Filtered
18 candidates to 28 candidates (-55.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh033
Picked011
Done011
Total28533

Merged error: 0.0b

Counts
33 → 5

regimes157.0ms

Accuracy

0% (3.1b remaining)

Error of 3.3b against oracle of 0.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

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

sample6.3s

Algorithm
intervals
Results
2.7s2549×body2560valid
2.0s3533×body1280valid
353.0ms1021×body640valid
302.0ms698×body1280overflowed
200.0ms9775×pre80true
111.0ms373×body640overflowed
110.0ms161×body2560overflowed
78.0ms324×body320valid
43.0ms207×body320overflowed
32.0ms435×body80valid
21.0ms138×body160valid
19.0ms258×body80overflowed
10.0ms73×body160overflowed
2.0ms2×body2560invalid
1.0ms3×body1280invalid

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