Details

Time bar (total: 2.3s)

analyze317.0ms

Algorithm
search

sample29.0ms

Algorithm
intervals
Results
12.0ms65×body1280valid
5.0ms49×body640valid
2.0ms103×body80valid
2.0ms25×body320valid
1.0ms14×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.8b
(- (exp x) 1.0)

rewrite14.0ms

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)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune78.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
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 3 expressions with local error:

0.0b
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
7.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series11.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
4.0ms
(+ (* 1/12 x) (/ 1 x))
4.0ms
(* 1/12 x)

simplify101.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune58.0ms

Filtered
34 candidates to 52 candidates (-52.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh022
Picked011
Done000
Total51455

Merged error: 0b

Counts
55 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
3.8b
(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0310722
11324620
25002618

prune88.0ms

Filtered
60 candidates to 106 candidates (-76.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (exp x) (log (exp (- (exp x) 1.0))))
3.8b
(log (exp (- (exp x) 1.0)))
3.8b
(- (exp x) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×log-pow
27×times-frac
25×exp-prod
23×add-cube-cbrt
9×associate-/r*
8×pow1
6×distribute-lft-out-- difference-of-squares
5×log-prod add-cbrt-cube add-log-exp
4×add-exp-log
3×associate-/l*
2×sub-neg exp-sum
1×cbrt-undiv log-div flip3-- frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num flip-- div-inv
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
5.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series11.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
2.0ms
(log (exp (- (exp x) 1.0)))
2.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0232668
1632601
22395579
35002575

prune92.0ms

Filtered
63 candidates to 94 candidates (-49.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4

regimes91.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

analyze317.0ms

Algorithm
search

sample851.0ms

Algorithm
intervals
Results
387.0ms2195×body1280valid
182.0ms1621×body640valid
69.0ms860×body320valid
68.0ms2893×body80valid
22.0ms431×body160valid
0.0ms2×body1280invalid

Profiling

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