Details

Time bar (total: 1.9s)

sample46.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.32016%

Space saved by search: 50.102526%

Guaranteed chance to sample good point: 99.995433%

Results
18.0ms109×body1280valid
11.0ms73×body640valid
3.0ms256×pre80true
2.0ms38×body320valid
1.0ms28×body160valid
0.0ms8×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: 57.8b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.1b
(- (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 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune36.0ms

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: 0.1b

Counts
18 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series9.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify40.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0247238
11168215
25001215

prune65.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done000
Total55358

Merged error: 0.1b

Counts
58 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

7.1b
(log (exp (- (exp x) 1.0)))
7.1b
(- (exp x) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×log-pow
5×log-prod exp-prod
4×add-cube-cbrt add-log-exp
3×pow1
2×add-exp-log sub-neg exp-sum add-cbrt-cube distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 34
Calls
2 calls:
5.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series4.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0120161
1277146
2652144
31859144
45001144

prune43.0ms

Filtered
27 candidates to 40 candidates (-48.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done011
Total40343

Merged error: 0.1b

Counts
43 → 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))
7.0b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite29.0ms

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))

series20.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp x) 1.0)
11.0ms
(/ (- (* (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))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0376823
11712737
25001719

prune116.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done022
Total1123115

Merged error: 0.0b

Counts
115 → 3

regimes102.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 25.32016%

Space saved by search: 50.102526%

Guaranteed chance to sample good point: 99.995433%

Results
537.0ms3362×body1280valid
265.0ms2546×body640valid
97.0ms8000×pre80true
82.0ms1248×body320valid
27.0ms661×body160valid
4.0ms183×body80valid

Profiling

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