Details

Time bar (total: 3.1s)

sample31.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms122×body80overflowed

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
075
175

prune5.0ms

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: 0.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp a) (exp b))
32.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify88.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune150.0ms

Filtered
51 candidates to 37 candidates (72.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452

Merged error: 0.4b

Counts
52 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.2b
(- a (log (+ (exp a) (exp b))))
2.8b
(log (+ (exp a) (exp b)))

rewrite21.0ms

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))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(exp (- a (log (+ (exp a) (exp b)))))
18.0ms
(+ (exp a) (exp b))
37.0ms
(- a (log (+ (exp a) (exp b))))
34.0ms
(log (+ (exp a) (exp b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (80.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune235.0ms

Filtered
80 candidates to 55 candidates (68.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done000
Total80484

Merged error: 0.4b

Counts
84 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp b) (exp a))
0.1b
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.3b
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
0.5b
(/ (exp a) (+ (exp b) (exp a)))

rewrite32.0ms

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))
8.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
8.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms
(/ (exp a) (+ (exp b) (exp a)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (exp b) (exp a))
55.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
43.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
39.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04331586
118791472
250011455

prune347.0ms

Filtered
165 candidates to 82 candidates (49.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1641165
Fresh022
Picked011
Done011
Total1645169

Merged error: 0.4b

Counts
169 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
0.6b
(cbrt (+ (exp a) (exp b)))
0.6b
(cbrt (+ (exp a) (exp b)))
0.6b
(cbrt (+ (exp a) (exp b)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
57×*-un-lft-identity
42×times-frac
37×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×cbrt-div
7×associate-/r*
6×add-exp-log associate-/l*
4×pow1 flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 111
Calls
4 calls:
8.0ms
(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
4.0ms
(cbrt (+ (exp a) (exp b)))
4.0ms
(cbrt (+ (exp a) (exp b)))
4.0ms
(cbrt (+ (exp a) (exp b)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
69.0ms
(cbrt (+ (exp a) (exp b)))
64.0ms
(cbrt (+ (exp a) (exp b)))
68.0ms
(cbrt (+ (exp a) (exp b)))

simplify77.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02421363
16761320
223571312
350011274

prune440.0ms

Filtered
123 candidates to 89 candidates (72.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0.4b

Counts
128 → 5

regimes213.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample581.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid
87.0ms3510×body80overflowed

Profiling

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