Details

Time bar (total: 2.0s)

analyze489.0ms (24.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.3%24.4%11
31.4%44.3%24.4%12
31.4%44%24.5%13
31.5%43.8%24.8%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample60.0ms (3%)

Algorithm
intervals
Results
25.0ms55×body1280valid
14.0ms56×body640valid
6.0ms37×body320valid
5.0ms101×body80valid
1.0msbody160valid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify228.0ms (11.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
048198
148198

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite200.0ms (9.9%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 sqrt-prod_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 insert-posit16 flip-+_binary64
Counts
1 → 17
Calls

1 calls:

198.0ms
(sqrt.f64 (+.f64 1 (exp.f64 x)))

series48.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify159.0ms (7.9%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
04931234
14931234

prune16.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh000
Picked011
Done000
Total19221

Merged error: 0.2b

Counts
21 → 2
Compiler

Compiled 201 to 146 computations (27.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/2 (*.f64 x 3/16))
0.0b
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16))))
0.1b
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))
0.4b
(/.f64 x (sqrt.f64 2))

rewrite32.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
38×times-frac_binary64
33×*-un-lft-identity_binary64 add-cube-cbrt_binary64
22×associate-*l*_binary64 sqrt-prod_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
associate-/r*_binary64 pow1_binary64
flip3-+_binary64 insert-posit16 flip-+_binary64
associate-*r*_binary64 unswap-sqr_binary64 associate-/l*_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 associate-+r+_binary64 frac-times_binary64 sum-log_binary64
pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 115
Calls

4 calls:

12.0ms
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))
6.0ms
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16))))
5.0ms
(/.f64 x (sqrt.f64 2))
4.0ms
(+.f64 1/2 (*.f64 x 3/16))

series365.0ms (18.1%)

Counts
4 → 12
Calls

4 calls:

169.0ms
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))
82.0ms
(/.f64 x (sqrt.f64 2))
67.0ms
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16))))
47.0ms
(+.f64 1/2 (*.f64 x 3/16))

simplify154.0ms (7.6%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
049482087
149482087

prune186.0ms (9.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh000
Picked101
Done011
Total1272129

Merged error: 0.2b

Counts
129 → 2
Compiler

Compiled 2467 to 2040 computations (17.3% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (sqrt.f64 2) (posit16->binary64 (binary64->posit16 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16))))))
0.1b
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))
0.4b
(/.f64 x (sqrt.f64 2))
49.2b
(posit16->binary64 (binary64->posit16 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))))

rewrite29.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
38×times-frac_binary64
35×*-un-lft-identity_binary64
33×add-cube-cbrt_binary64
22×associate-*l*_binary64 sqrt-prod_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64
insert-posit16
flip3-+_binary64 associate-*r*_binary64 unswap-sqr_binary64 associate-/l*_binary64 flip-+_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64
pow-prod-down_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 remove-posit16 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 111
Calls

4 calls:

13.0ms
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))
5.0ms
(/.f64 x (sqrt.f64 2))
5.0ms
(+.f64 (sqrt.f64 2) (posit16->binary64 (binary64->posit16 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16))))))
1.0ms
(posit16->binary64 (binary64->posit16 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x 3/16)))))

series17.0ms (0.9%)

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