Details

Time bar (total: 2.8s)

analyze14.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample27.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify714.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
048689
148689

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.6b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

28.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1_binary64
pow-prod-down_binary64 sqrt-pow1_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
Counts
1 → 12
Calls
1 calls:
6.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify211.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (189.0ms)

IterNodesCost
04652120
14652120

prune62.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.2b

Counts
16 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*l*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls
1 calls:
12.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04933270
14933270

prune119.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh202
Picked011
Done011
Total22729

Merged error: 0.0b

Counts
29 → 7

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*l*_binary64 sqrt-prod_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls
2 calls:
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
11.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series147.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
28.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify87.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04905624
14905624

prune189.0ms

Filtered
29 candidates to 54 candidates (-86.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh044
Picked011
Done022
Total54761

Merged error: 0.0b

Counts
61 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls
2 calls:
6.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
34.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04906685
14906685

prune173.0ms

Filtered
32 candidates to 56 candidates (-75.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New55156
Fresh213
Picked011
Done033
Total57663

Merged error: 0b

Counts
63 → 6

regimes88.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01124
11124

end0.0ms

sample582.0ms

Algorithm
intervals
Results
446.0ms8000×body80valid

Profiling

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