Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

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 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
13×add-sqr-sqrt
12×add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* sqrt-prod add-cbrt-cube
3×pow1 associate-/l*
2×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0412473
11774450
25002447

prune100.0ms

Filtered
42 candidates to 55 candidates (-31.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log *-un-lft-identity
12×pow1 cbrt-prod
9×add-sqr-sqrt add-cube-cbrt pow-flip flip3-+ pow1/3 flip-+
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp distribute-lft-out associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 85
Calls
4 calls:
15.0ms
(/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
6.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
7.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
5.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
22.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
20.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
20.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012812168
150021887

prune429.0ms

Filtered
75 candidates to 97 candidates (-29.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
55×add-sqr-sqrt
52×times-frac
39×sqrt-prod
38×add-cube-cbrt
30×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×pow1 associate-*l* associate-/l* unswap-sqr
4×associate-/r* associate-/r/
3×flip3-+ flip-+ add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 120
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
16.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series49.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
30.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
15.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08081382
140051273
250011249

prune174.0ms

Filtered
80 candidates to 129 candidates (-61.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done022
Total1294133

Merged error: 0b

Counts
133 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))
0.2b
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
33.2b
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×times-frac
49×add-sqr-sqrt
48×add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×pow1 flip3-+ flip-+
5×div-inv
4×associate-/r* sqrt-prod add-log-exp
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult sqrt-div unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp rem-sqrt-square cbrt-div pow-pow frac-2neg sqrt-pow1 pow1/2 pow1/3 clear-num rem-cbrt-cube
Counts
4 → 157
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
11.0ms
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
9.0ms
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

series75.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
15.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
35.0ms
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
20.0ms
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

simplify114.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09651758
147661639
250011639

prune225.0ms

Filtered
91 candidates to 169 candidates (-85.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1690169
Fresh000
Picked011
Done033
Total1694173

Merged error: 0b

Counts
173 → 4

regimes68.0ms

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

analyze2.0ms

Algorithm
search

sample292.0ms

Algorithm
intervals
Results
207.0ms7997×body80valid
0.0ms3×body1280valid

Profiling

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