Details

Time bar (total: 8.7s)

sample193.0ms

Algorithm
intervals
Results
88.0ms91×body2560valid
58.0ms102×body1280valid
12.0ms36×body640valid
7.0ms329×pre80true
5.0ms73×body80overflowed
2.0ms7×body320valid
1.0ms8×body160valid
1.0ms12×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04013
110113
224513
369713
4346313
5500113

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.0b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.8b
(- (exp (* a eps)) 1.0)
3.0b
(- (exp (* b eps)) 1.0)
3.6b
(- (exp (* (+ a b) eps)) 1.0)

rewrite26.0ms

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×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
12.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
4.0ms
(- (exp (* a eps)) 1.0)
4.0ms
(- (exp (* b eps)) 1.0)
5.0ms
(- (exp (* (+ a b) eps)) 1.0)

series161.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
37.0ms
(- (exp (* a eps)) 1.0)
31.0ms
(- (exp (* b eps)) 1.0)
45.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0346733
11449673
25001673

prune304.0ms

Filtered
88 candidates to 66 candidates (75.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 50.3b

Counts
89 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

3.0b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
3.6b
(- (exp (* (+ a b) eps)) 1.0)
10.9b
(* (pow a 2) (pow eps 2))
12.3b
(* (pow a 3) (pow eps 3))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
40×add-exp-log
32×unswap-sqr
28×unpow-prod-down
22×prod-exp
20×associate-*r* associate-*l* add-cbrt-cube sqr-pow
16×*-un-lft-identity
14×add-cube-cbrt cube-prod
12×pow-to-exp pow-exp
10×unpow2
8×associate-/r/
6×cbrt-unprod add-log-exp
5×flip3-- flip--
4×pow1 cbrt-undiv frac-times associate-*r/ div-exp
3×flip3-+ flip-+
2×cube-mult unpow3 pow-prod-down associate-*l/ *-commutative associate-/l/
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 155
Calls
4 calls:
22.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
5.0ms
(- (exp (* (+ a b) eps)) 1.0)
7.0ms
(* (pow a 2) (pow eps 2))
12.0ms
(* (pow a 3) (pow eps 3))

series908.0ms

Counts
4 → 12
Calls
4 calls:
761.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
49.0ms
(- (exp (* (+ a b) eps)) 1.0)
32.0ms
(* (pow a 2) (pow eps 2))
66.0ms
(* (pow a 3) (pow eps 3))

simplify149.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
08151795
146651494
250021458

prune599.0ms

Filtered
167 candidates to 91 candidates (54.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1652167
Fresh325
Picked101
Done000
Total1694173

Merged error: 0.1b

Counts
173 → 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))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ (/ 1 b) (/ 1 a))

simplify67.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0101104
134594
2115391
3277590
4500190

prune36.0ms

Filtered
22 candidates to 14 candidates (63.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh123
Picked011
Done000
Total22426

Merged error: 0.1b

Counts
26 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (+ 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))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (+ b a) (* b a))

simplify48.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0145134
1519113
22023113
35001113

prune34.0ms

Filtered
28 candidates to 19 candidates (67.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh022
Picked011
Done011
Total27532

Merged error: 0.1b

Counts
32 → 5

regimes81.0ms

Accuracy

0% (3.2b remaining)

Error of 3.4b against oracle of 0.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.7s2571×body2560valid
1.9s3429×body1280valid
356.0ms1052×body640valid
212.0ms9950×pre80true
137.0ms1949×body80overflowed
87.0ms381×body320valid
32.0ms454×body80valid
17.0ms114×body160valid