Details

Time bar (total: 3.2s)

sample31.0ms

Algorithm
intervals
Results
7.0ms56×body1280valid
6.0ms250×body80nan
4.0ms139×body80valid
4.0ms38×body640valid
1.0ms19×body320valid
0.0ms4×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1104
2104

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: 28.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1.0))
1.5b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
54×*-un-lft-identity
42×add-sqr-sqrt prod-diff
31×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
4×add-log-exp difference-of-squares
3×pow1 distribute-lft-out--
2×add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 diff-log flip-- flip-+ hypot-def
Counts
2 → 89
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
9.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series105.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(sqrt (+ x 1.0))
75.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02991161
1921822
25001744

prune124.0ms

Filtered
95 candidates to 44 candidates (46.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh000
Picked101
Done000
Total93396

Merged error: 0.2b

Counts
96 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.2b
(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
33×distribute-lft-out
32×sqrt-prod
24×times-frac
21×add-sqr-sqrt
18×add-cube-cbrt
7×fma-def
6×associate-/r*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-+ flip-+ associate-/l*
3×expm1-log1p-u log1p-expm1-u
2×sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log hypot-def div-inv
Counts
3 → 94
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
12.0ms
(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
67.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
138.0ms
(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0409789
11675716
25001675

prune195.0ms

Filtered
103 candidates to 68 candidates (66.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New949103
Fresh202
Picked101
Done000
Total979106

Merged error: 0.0b

Counts
106 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
28×sqrt-prod
22×distribute-lft-out
20×add-sqr-sqrt
18×times-frac
17×add-cube-cbrt
7×fma-def
6×associate-/r*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u 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 hypot-def div-inv
Counts
3 → 85
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
8.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
9.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
68.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
148.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0362652
11325588
25001555

prune167.0ms

Filtered
94 candidates to 64 candidates (68.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New88694
Fresh628
Picked011
Done000
Total949103

Merged error: 0.0b

Counts
103 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (+ x 1.0))
90.0ms
(cbrt (+ x 1.0))
105.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify171.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (161.0ms)

IterNodesCost
0321818
11071769
24756694
35001692

prune332.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1132115
Fresh077
Picked101
Done011
Total11410124

Merged error: 0.0b

Counts
124 → 10

regimes37.0ms

Accuracy

0% (0.1b 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
095
195

end0.0ms

sample875.0ms

Algorithm
intervals
Results
207.0ms1717×body1280valid
205.0ms8106×body80nan
117.0ms1209×body640valid
107.0ms4106×body80valid
44.0ms625×body320valid
16.0ms343×body160valid

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