Details

Time bar (total: 5.7s)

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 29.211426%

Results
13.0ms79×body1280valid
6.0ms52×body640valid
2.0ms33×body320valid
2.0ms88×body80overflowed
2.0ms76×body80valid
1.0ms16×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: 44.9b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.9b
(- (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)

series11.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune80.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

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:
6.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series10.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms
(+ (* 1/12 x) (/ 1 x))
2.0ms
(* 1/12 x)

simplify101.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune60.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh044
Picked011
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
3.9b
(- 1 (/ 1.0 (exp x)))

rewrite21.0ms

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:
8.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 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
25001618

prune87.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh224
Picked101
Done011
Total1084112

Merged error: 0.0b

Counts
112 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1 (exp (- (log 1.0) x))))
3.9b
(- 1 (exp (- (log 1.0) x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
18×times-frac
13×add-cube-cbrt
10×difference-of-squares
6×add-exp-log associate-/r*
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 → 60
Calls
2 calls:
9.0ms
(/ 1 (- 1 (exp (- (log 1.0) x))))
7.0ms
(- 1 (exp (- (log 1.0) x)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- 1 (exp (- (log 1.0) x))))
4.0ms
(- 1 (exp (- (log 1.0) x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0200548
1858466
23483452
35002452

prune69.0ms

Filtered
35 candidates to 66 candidates (-88.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh022
Picked101
Done011
Total66470

Merged error: 0.0b

Counts
70 → 4

regimes88.0ms

Accuracy

96.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample2.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 29.211426%

Results
386.0ms2249×body1280valid
182.0ms1629×body640valid
68.0ms2889×body80valid
59.0ms792×body320valid
55.0ms2591×body80overflowed
22.0ms441×body160valid
0.0ms3×body1280invalid

Profiling

Loading profile data...