Details

Time bar (total: 2.4s)

analyze343.0ms (14.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06052
16052
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
31.2%68.6%0.1%8
39%56.2%4.8%9
50.7%43.7%5.6%10
60.3%33.7%6%11
64.6%26.5%8.9%12
70.5%20.3%9.2%13
74.6%16.1%9.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02013
12013

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 x 2) (*.f64 y x))
0.0b
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7278
*-un-lft-identity_binary64_7239 sum-log_binary64_7330
flip-+_binary64_7213 flip3-+_binary64_7242 add-exp-log_binary64_7277 +-commutative_binary64_7169 pow1_binary64_7300 add-cbrt-cube_binary64_7275 add-sqr-sqrt_binary64_7261 add-cube-cbrt_binary64_7274
associate-+l+_binary64_7172 distribute-lft-out_binary64_7190
Counts
2 → 25
Calls

2 calls:

9.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))

series50.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
22.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

simplify65.0ms (2.7%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05010490

prune32.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New28331
Fresh000
Picked011
Done000
Total28432
Error
0.0b
Counts
32 → 4
Compiler

Compiled 487 to 279 computations (42.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y 1/2))
0.0b
(+.f64 z (*.f64 x (+.f64 y 1/2)))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_7239 add-sqr-sqrt_binary64_7261
add-exp-log_binary64_7277 add-log-exp_binary64_7278 pow1_binary64_7300 associate-*r*_binary64_7179 add-cbrt-cube_binary64_7275 add-cube-cbrt_binary64_7274
associate-*l*_binary64_7180
flip-+_binary64_7213 associate-*r/_binary64_7181 flip3-+_binary64_7242 distribute-lft-in_binary64_7188 distribute-rgt-in_binary64_7189 associate-+r+_binary64_7171
cbrt-unprod_binary64_7272 pow-prod-down_binary64_7310 unswap-sqr_binary64_7207 *-commutative_binary64_7170 prod-exp_binary64_7288 distribute-lft-out_binary64_7190 +-commutative_binary64_7169 sum-log_binary64_7330
Counts
2 → 36
Calls

2 calls:

7.0ms
(*.f64 x (+.f64 y 1/2))
4.0ms
(+.f64 z (*.f64 x (+.f64 y 1/2)))

series52.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(+.f64 z (*.f64 x (+.f64 y 1/2)))
26.0ms
(*.f64 x (+.f64 y 1/2))

simplify57.0ms (2.4%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04976461
14976461

prune34.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh112
Picked011
Done101
Total42446
Error
0b
Counts
46 → 4
Compiler

Compiled 539 to 347 computations (35.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_7270
23×add-sqr-sqrt_binary64_7261
15×*-un-lft-identity_binary64_7239 add-cube-cbrt_binary64_7274
11×pow1_binary64_7300
pow1/3_binary64_7321
add-exp-log_binary64_7277 swap-sqr_binary64_7206 associate-*r*_binary64_7179 associate-*l*_binary64_7180
add-log-exp_binary64_7278 unswap-sqr_binary64_7207 add-cbrt-cube_binary64_7275
pow-prod-down_binary64_7310 pow-sqr_binary64_7212 pow-prod-up_binary64_7309
pow2_binary64_7320 cbrt-unprod_binary64_7272 *-commutative_binary64_7170 prod-exp_binary64_7288 pow-plus_binary64_7302
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series343.0ms (14.3%)

Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
86.0ms
(cbrt.f64 x)
84.0ms
(cbrt.f64 x)
82.0ms
(cbrt.f64 x)

simplify65.0ms (2.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04892563
14892563

prune71.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489
Error
0b
Counts
89 → 4
Compiler

Compiled 1456 to 690 computations (52.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 y 1/2))
0.0b
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))
0.3b
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
0.4b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))

rewrite34.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_7239 sqrt-div_binary64_7256
15×add-sqr-sqrt_binary64_7261
14×associate-*r*_binary64_7179
13×sqrt-prod_binary64_7255
12×pow1_binary64_7300
11×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
10×associate-*r/_binary64_7181 add-cube-cbrt_binary64_7274
flip-+_binary64_7213 flip3-+_binary64_7242
add-log-exp_binary64_7278
cbrt-unprod_binary64_7272 pow-prod-down_binary64_7310 frac-times_binary64_7249 prod-exp_binary64_7288 associate-*l*_binary64_7180
distribute-lft-out_binary64_7190
associate-*l/_binary64_7182 unswap-sqr_binary64_7207 *-commutative_binary64_7170
pow1/2_binary64_7319 rem-sqrt-square_binary64_7252 sqrt-pow1_binary64_7257 +-commutative_binary64_7169 sum-log_binary64_7330
Counts
4 → 82
Calls

4 calls:

13.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
8.0ms
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
4.0ms
(sqrt.f64 (+.f64 y 1/2))
3.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))

series108.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

44.0ms
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
25.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))
24.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
15.0ms
(sqrt.f64 (+.f64 y 1/2))

simplify78.0ms (3.3%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050741396

prune89.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498
Error
0b
Counts
98 → 4
Compiler

Compiled 1660 to 1145 computations (31% saved)

regimes157.0ms (6.5%)

Accuracy

Total 0.0b remaining (83.1%)

Threshold costs 0.0b (83.1%)

Compiler

Compiled 1463 to 1153 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01110
11110

end0.0ms (0%)

sample728.0ms (30.3%)

Algorithm
intervals
Results
236.0ms7999×body128valid
8.0ms303×body128invalid
0.0msbody1024valid
Compiler

Compiled 302 to 240 computations (20.5% saved)

Profiling

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