Details

Time bar (total: 1.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms102×body80overflowed

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite17.0ms

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))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (exp a) (exp b))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify93.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune56.0ms

Filtered
51 candidates to 37 candidates (27.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452

Merged error: 0.2b

Counts
52 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
0.7b
(- a (log (+ (exp a) (exp b))))
2.5b
(log (+ (exp a) (exp b)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow distribute-lft-out
2×sub-neg diff-log rem-exp-log difference-of-squares
1×+-commutative flip3-- exp-diff rem-log-exp sum-log flip--
Counts
4 → 68
Calls
4 calls:
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (exp a) (exp b))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
5.0ms
(+ (exp a) (exp b))
9.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

simplify93.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (85.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune82.0ms

Filtered
80 candidates to 55 candidates (31.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done000
Total80484

Merged error: 0.2b

Counts
84 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp a) (exp b)))
0.0b
(sqrt (+ (exp a) (exp b)))
0.3b
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
0.9b
(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-cbrt-cube
10×div-inv
9×add-exp-log
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 317
Calls
4 calls:
4.0ms
(sqrt (+ (exp a) (exp b)))
4.0ms
(sqrt (+ (exp a) (exp b)))
18.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
8.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ (exp a) (exp b)))
9.0ms
(sqrt (+ (exp a) (exp b)))
11.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
17.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify85.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
06895914
123915360
250025157

prune150.0ms

Filtered
329 candidates to 145 candidates (55.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3290329
Fresh022
Picked011
Done011
Total3294333

Merged error: 0.2b

Counts
333 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp b) (exp a))
0.0b
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.4b
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
0.5b
(/ (exp a) (+ (exp b) (exp a)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube
7×add-exp-log
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
4×associate-/r*
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
4.0ms
(+ (exp b) (exp a))
9.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
9.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms
(/ (exp a) (+ (exp b) (exp a)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp b) (exp a))
19.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
11.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
11.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04331586
118791472
250011455

prune112.0ms

Filtered
165 candidates to 82 candidates (50.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1641165
Fresh101
Picked011
Done022
Total1654169

Merged error: 0.2b

Counts
169 → 4

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample587.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
95.0ms3435×body80overflowed

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