Details

Time bar (total: 1.8s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
088
188

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

rewrite22.0ms

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:
3.0ms
(sqrt (+ x 1.0))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
12.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series24.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
15.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify23.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
049631021
149631021

prune118.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571

Merged error: 0b

Counts
71 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
0.2b
(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
13×cbrt-prod
10×associate-*r*
9×times-frac sqrt-prod
8×add-exp-log add-cbrt-cube
6×pow1 cbrt-div
4×flip3-+ flip-+ add-log-exp
3×associate-*l* associate-/r* distribute-lft-out associate-/l* unswap-sqr
2×pow1/3 sqrt-div associate-*r/ associate-/r/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 86
Calls
4 calls:
8.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
4.0ms
(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
35.0ms
(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
047661713
147661713

prune259.0ms

Filtered
79 candidates to 98 candidates (-24.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done011
Total985103

Merged error: 0b

Counts
103 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (sqrt (+ x 1.0)))
0.2b
(cbrt (sqrt (+ x 1.0)))
0.2b
(cbrt (sqrt (+ x 1.0)))
0.2b
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 120
Calls
4 calls:
4.0ms
(cbrt (sqrt (+ x 1.0)))
4.0ms
(cbrt (sqrt (+ x 1.0)))
4.0ms
(cbrt (sqrt (+ x 1.0)))
13.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x 1.0)))
8.0ms
(cbrt (sqrt (+ x 1.0)))
6.0ms
(cbrt (sqrt (+ x 1.0)))
6.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050181490

prune231.0ms

Filtered
78 candidates to 132 candidates (-69.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done022
Total1325137

Merged error: 0b

Counts
137 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
42×times-frac
37×add-sqr-sqrt add-cube-cbrt
33×cbrt-prod
28×sqrt-prod
7×associate-/r* distribute-lft-out
6×add-exp-log associate-/l*
5×add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3
2×sqrt-div associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 102
Calls
4 calls:
9.0ms
(/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series105.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify32.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
052351796

prune224.0ms

Filtered
79 candidates to 114 candidates (-44.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done033
Total1145119

Merged error: 0b

Counts
119 → 5

regimes75.0ms

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
088
188

end0.0ms

sample317.0ms

Algorithm
intervals
Results
225.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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