Details

Time bar (total: 1.6s)

analyze2.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
7.0ms255×body80valid
0.0ms1×body1280valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(sqrt (+ x 1.0))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-/r* sqrt-prod
3×flip3-+ flip-+ associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
3.0ms
(sqrt (+ x 1.0))
15.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0460585
11938554
25002551

prune128.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(sqrt (+ x 1.0))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
99×*-un-lft-identity
64×add-sqr-sqrt
63×add-cube-cbrt
19×associate-/r*
18×distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×pow1 div-inv add-log-exp
4×cbrt-undiv sqrt-prod
3×flip3-+ flip-+
2×rec-exp frac-2neg sqrt-div 1-exp clear-num associate-/l/
1×+-commutative rem-sqrt-square pow-flip sqrt-pow1 pow1/2 sum-log associate-/r/ inv-pow
Counts
4 → 149
Calls
4 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
15.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07681530
135981400
250011316

prune194.0ms

Filtered
91 candidates to 161 candidates (-76.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh044
Picked011
Done011
Total1616167

Merged error: 0b

Counts
167 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
24.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune89.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.2b
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
0.2b
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
6.6b
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
70×cbrt-prod
51×times-frac
46×add-sqr-sqrt
45×add-cube-cbrt
24×unpow-prod-down cube-prod
17×associate-/r*
13×distribute-lft-out
7×add-exp-log
6×pow1 cube-div cube-mult unpow3 add-cbrt-cube sqr-pow
4×cbrt-div flip3-+ sqrt-prod flip-+ add-log-exp
3×pow-unpow associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv pow-to-exp rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 pow1/3 div-exp pow-exp clear-num rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 153
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
6.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
10.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
7.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
17.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
15.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
5.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

simplify90.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08191626
136461508
250011484

prune206.0ms

Filtered
84 candidates to 165 candidates (-96.4%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh022
Picked011
Done033
Total1656171

Merged error: 0b

Counts
171 → 6

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

analyze3.0ms

Algorithm
search

sample298.0ms

Algorithm
intervals
Results
212.0ms7997×body80valid
0.0ms3×body1280valid

Profiling

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