Details

Time bar (total: 2.0s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 25.356625%

Space saved by search: 50.12689%

Guaranteed chance to sample good point: 99.995433%

sample37.0ms

Algorithm
intervals
Results
16.0ms108×body1280valid
8.0ms81×body640valid
3.0ms256×pre80true
3.0ms44×body320valid
1.0ms14×body160valid
0.0ms9×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.6b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.9b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune37.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r*
5×pow1 add-log-exp unswap-sqr
4×unpow-prod-down prod-exp
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×+-commutative pow-to-exp pow-prod-down pow-exp sum-log
Counts
3 → 62
Calls
3 calls:
7.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
6.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0310355
11545327
25001326

prune88.0ms

Filtered
47 candidates to 71 candidates (-51.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done000
Total71374

Merged error: 0.0b

Counts
74 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.0b
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b
(* (exp x) (exp x))
5.9b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
26×add-sqr-sqrt
24×add-cube-cbrt
18×exp-prod
16×times-frac
11×pow1
8×add-cbrt-cube add-log-exp
6×add-exp-log distribute-lft-out difference-of-squares
4×pow-prod-down associate-/r* pow-sqr pow-prod-up associate-/l*
3×swap-sqr associate-*r* associate-*l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow2 sub-neg frac-2neg pow-plus diff-log div-sub div-exp prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 100
Calls
4 calls:
4.0ms
(+ (exp x) 1.0)
11.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
6.0ms
(* (exp x) (exp x))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp x) 1.0)
9.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
3.0ms
(* (exp x) (exp x))
4.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0376823
11712737
25001719

prune123.0ms

Filtered
78 candidates to 112 candidates (-43.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh011
Picked101
Done011
Total1123115

Merged error: 0.0b

Counts
115 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (* (exp x) (exp x)) (* 1.0 1.0)))
5.9b
(- (* (exp x) (exp x)) (* 1.0 1.0))
5.9b
(- (* (exp x) (exp x)) (* 1.0 1.0))
5.9b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-prod flip3-- add-cbrt-cube flip-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 53
Calls
4 calls:
6.0ms
(cbrt (- (* (exp x) (exp x)) (* 1.0 1.0)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series34.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (* (exp x) (exp x)) (* 1.0 1.0)))
4.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))
4.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))
4.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0172552
1489482
21668458
35001454

prune138.0ms

Filtered
55 candidates to 65 candidates (-18.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New63265
Fresh101
Picked101
Done011
Total65368

Merged error: 0.0b

Counts
68 → 3

regimes84.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 25.356625%

Space saved by search: 50.12689%

Guaranteed chance to sample good point: 99.995433%

sample1.1s

Algorithm
intervals
Results
540.0ms3361×body1280valid
242.0ms2498×body640valid
88.0ms8000×pre80true
83.0ms1308×body320valid
25.0ms642×body160valid
4.0ms191×body80valid

Profiling

Loading profile data...