Details

Time bar (total: 1.8s)

sample190.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 30.084229%

Guaranteed chance to sample good point: 98.467918%

Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.3b
(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
4.0ms
(+ (exp a) (exp b))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (exp a) (exp b))
12.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune53.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0.2b

Counts
52 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (+ (exp a) (exp b)))
0.3b
(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
12×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 90
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
6.0ms
(/ 1 (+ (exp a) (exp b)))
13.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (exp a) (exp b))
8.0ms
(/ 1 (+ (exp a) (exp b)))
11.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify65.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0279671
11159590
23631550
35002549

prune67.0ms

Filtered
55 candidates to 99 candidates (-80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done000
Total993102

Merged error: 0.2b

Counts
102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp b) 3)
0.2b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.5b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.6b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
55×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
35×distribute-lft-out
33×associate-*l*
31×unpow-prod-down cube-prod
12×add-cbrt-cube
9×add-exp-log associate-/r*
7×pow1 sum-cubes
6×add-log-exp
4×pow-pow flip3-+ associate-/r/ flip-+
3×pow-unpow exp-prod associate-*r* associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×distribute-rgt-in cube-mult pow-to-exp sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log unpow3 pow-prod-down associate-*l/ pow-exp clear-num *-commutative flip-- rem-cube-cbrt sqr-pow
Counts
4 → 150
Calls
4 calls:
3.0ms
(pow (exp b) 3)
13.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
27.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
8.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp b) 3)
22.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
51.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
11.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify115.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
06862076
139791888
250031876

prune211.0ms

Filtered
99 candidates to 162 candidates (-63.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done011
Total1623165

Merged error: 0.2b

Counts
165 → 3

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.2b

Counts
3 → 3

regimes136.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample597.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 30.084229%

Guaranteed chance to sample good point: 98.467918%

Results
225.0ms8000×body80valid
0.0ms14×body80overflowed

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