Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms86×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
15×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×expm1-log1p-u flip3-+ sqrt-div associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num hypot-def div-inv
Counts
2 → 54
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series187.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(sqrt (+ x 1.0))
154.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0304400
11151366
25002357

prune107.0ms

Filtered
60 candidates to 45 candidates (75.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56460
Fresh000
Picked101
Done000
Total57461

Merged error: 0b

Counts
61 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
32×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
7×pow1
4×div-exp prod-exp associate-/r* sqrt-prod associate-/r/
3×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative hypot-def inv-pow
Counts
3 → 101
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
13.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
8.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series297.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(sqrt (+ x 1.0))
147.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
113.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0442749
11974650
25001606

prune145.0ms

Filtered
110 candidates to 67 candidates (60.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done000
Total1104114

Merged error: 0b

Counts
114 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
96×*-un-lft-identity
65×add-sqr-sqrt
62×add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg flip3-+ sqrt-div 1-exp clear-num flip-+ associate-/l/
1×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-/r/ hypot-def inv-pow
Counts
3 → 144
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series277.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(sqrt (+ x 1.0))
91.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
154.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify71.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05891343
126421200
250021107

prune168.0ms

Filtered
153 candidates to 84 candidates (54.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done011
Total1534157

Merged error: 0b

Counts
157 → 4

localize9.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series757.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt x) (cbrt x))
181.0ms
(cbrt x)
180.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune175.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497

Merged error: 0b

Counts
97 → 4

regimes19.0ms

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
0135
1135

end0.0ms

sample316.0ms

Algorithm
intervals
Results
159.0ms7998×body80valid
45.0ms2703×body80nan
0.0ms2×body1280valid

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