Details

Time bar (total: 1.9s)

sample39.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.12689%

Space saved by search: 25.356625%

Guaranteed chance to sample good point: 0%

Results
16.0ms105×body1280valid
8.0ms89×body640valid
3.0ms43×body320valid
3.0ms256×pre80true
1.0ms16×body160valid
0.0ms3×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: 59.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (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)

simplify55.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune35.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (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)

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247238
11168215
25001215

prune64.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done000
Total55257

Merged error: 0.0b

Counts
57 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (- (exp x) 1.0))
0.2b
(exp (log (- (exp x) 1.0)))
5.3b
(- (exp x) 1.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×log-prod
6×add-cube-cbrt
5×pow1 exp-sum add-log-exp
4×add-exp-log log-div exp-prod
3×flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
2×exp-diff log-pow
1×sub-neg diff-log rem-log-exp rem-exp-log
Counts
3 → 49
Calls
3 calls:
4.0ms
(log (- (exp x) 1.0))
5.0ms
(exp (log (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series14.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(log (- (exp x) 1.0))
2.0ms
(exp (log (- (exp x) 1.0)))
2.0ms
(- (exp x) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
0145288
1306265
2748258
32120252
45002252

prune68.0ms

Filtered
39 candidates to 58 candidates (-48.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh000
Picked101
Done011
Total58260

Merged error: 0b

Counts
60 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt (exp x)) (sqrt 1.0))
0.0b
(+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0))))
0.2b
(exp (+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0)))))
5.1b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
23×add-sqr-sqrt
16×sqrt-prod
14×log-prod
12×pow1 distribute-lft-out
9×associate-+r+ add-log-exp
8×log-div log-pow difference-of-squares
7×add-cube-cbrt exp-prod
5×associate-+l+
4×add-exp-log associate-+l- associate-+r- flip3-+ exp-diff add-cbrt-cube flip-+ distribute-lft-out--
3×flip3-- sum-log flip--
2×+-commutative rem-exp-log
1×sub-neg diff-log exp-sum
Counts
4 → 85
Calls
4 calls:
8.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
15.0ms
(+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0))))
6.0ms
(exp (+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0)))))
6.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series72.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
28.0ms
(+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0))))
35.0ms
(exp (+ (log (+ (sqrt (exp x)) (sqrt 1.0))) (log (- (sqrt (exp x)) (sqrt 1.0)))))
5.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03991099
112051003
25001937

prune182.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done011
Total97299

Merged error: 0b

Counts
99 → 2

regimes52.0ms

Accuracy

0% (0.4b 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

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 50.12689%

Space saved by search: 25.356625%

Guaranteed chance to sample good point: 0%

Results
546.0ms3427×body1280valid
246.0ms2507×body640valid
85.0ms8000×pre80true
79.0ms1272×body320valid
24.0ms612×body160valid
4.0ms182×body80valid

Profiling

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