Details

Time bar (total: 2.8s)

sample35.0ms

Algorithm
intervals
Results
12.0ms67×body1280valid
6.0ms52×body640valid
2.0ms31×body320valid
2.0ms89×body80valid
2.0ms78×body80overflowed
1.0ms17×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

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: 41.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
6.2b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series56.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (exp x) (- (exp x) 1.0))
24.0ms
(- (exp x) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune129.0ms

Filtered
57 candidates to 41 candidates (28.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series68.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* 1/12 x) (/ 1 x))
19.0ms
(* 1/12 x)

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune76.0ms

Filtered
35 candidates to 23 candidates (34.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh022
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
6.2b
(- 1 (/ 1.0 (exp x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
35×*-un-lft-identity
34×times-frac
20×difference-of-squares
15×add-cube-cbrt
8×associate-/r*
6×add-exp-log
5×distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×flip3-- div-exp associate-/r/ flip--
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num div-inv inv-pow
Counts
2 → 70
Calls
2 calls:
12.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
45.0ms
(- 1 (/ 1.0 (exp x)))

simplify124.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0241586
11045489
24085487
35001487

prune106.0ms

Filtered
76 candidates to 37 candidates (51.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh112
Picked101
Done011
Total77380

Merged error: 0.0b

Counts
80 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (log (exp (- 1 (/ 1.0 (exp x))))))
0.0b
(exp (- 1 (/ 1.0 (exp x))))
6.2b
(log (exp (- 1 (/ 1.0 (exp x)))))
6.2b
(- 1 (/ 1.0 (exp x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
56×*-un-lft-identity
50×times-frac
48×exp-prod
45×log-pow
28×add-cube-cbrt difference-of-squares
12×associate-/r*
10×pow1
9×add-log-exp
8×add-exp-log
7×distribute-lft-out--
6×add-cbrt-cube
5×log-prod
4×exp-sum
3×sub-neg associate-/l*
2×exp-diff diff-log div-exp rem-exp-log
1×cbrt-undiv log-div rec-exp flip3-- pow-flip frac-2neg 1-exp rem-log-exp clear-num flip-- div-inv inv-pow
Counts
4 → 127
Calls
4 calls:
10.0ms
(/ 1 (log (exp (- 1 (/ 1.0 (exp x))))))
8.0ms
(exp (- 1 (/ 1.0 (exp x))))
8.0ms
(log (exp (- 1 (/ 1.0 (exp x)))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (log (exp (- 1 (/ 1.0 (exp x))))))
92.0ms
(exp (- 1 (/ 1.0 (exp x))))
44.0ms
(log (exp (- 1 (/ 1.0 (exp x)))))
48.0ms
(- 1 (/ 1.0 (exp x)))

simplify139.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
03171046
11172835
24219817
35001817

prune358.0ms

Filtered
139 candidates to 77 candidates (44.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done011
Total1393142

Merged error: 0.0b

Counts
142 → 3

regimes90.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.2b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample982.0ms

Algorithm
intervals
Results
418.0ms2281×body1280valid
186.0ms1617×body640valid
65.0ms859×body320valid
58.0ms2844×body80valid
50.0ms2602×body80overflowed
20.0ms401×body160valid

Profiling

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