Details

Time bar (total: 4.6s)

analyze29.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.3%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0129
1129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.0b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

16.7b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
cbrt-div_binary64 add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
Counts
1 → 16
Calls

1 calls:

4.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series148.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

148.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify75.0ms (1.6%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04790244
14790244

prune80.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New11819
Fresh000
Picked011
Done000
Total11920

Merged error: 0.2b

Counts
20 → 9
Compiler

Compiled 962 to 813 computations (15.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64
24×times-frac_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/l*_binary64
add-exp-log_binary64
associate-/r*_binary64
add-log-exp_binary64 pow1_binary64 add-cbrt-cube_binary64
pow1/3_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 66
Calls

3 calls:

5.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series535.0ms (11.6%)

Counts
3 → 9
Calls

3 calls:

202.0ms
(cbrt.f64 (*.f64 2 a))
173.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
159.0ms
(cbrt.f64 g)

simplify55.0ms (1.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049401128
149401128

prune512.0ms (11.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New631275
Fresh347
Picked011
Done011
Total661884

Merged error: 0.1b

Counts
84 → 18
Compiler

Compiled 6872 to 5525 computations (19.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.4b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
28×times-frac_binary64
26×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
17×cbrt-prod_binary64
16×associate-*r*_binary64
14×add-exp-log_binary64
pow1_binary64 add-cbrt-cube_binary64
associate-*l*_binary64 unswap-sqr_binary64
associate-/r*_binary64 add-log-exp_binary64
pow1/3_binary64 prod-exp_binary64 associate-/l*_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 pow-flip_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 *-commutative_binary64
Counts
4 → 99
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
4.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series711.0ms (15.4%)

Counts
4 → 12
Calls

4 calls:

213.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
179.0ms
(cbrt.f64 (*.f64 2 a))
165.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
153.0ms
(cbrt.f64 g)

simplify66.0ms (1.4%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049201366
149201366

prune229.0ms (5%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1074111
Fresh41115
Picked011
Done022
Total11118129

Merged error: 0.1b

Counts
129 → 18
Compiler

Compiled 3278 to 2587 computations (21.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.5b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
20×times-frac_binary64
16×associate-*r*_binary64
associate-*l*_binary64 unswap-sqr_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
cbrt-div_binary64 pow-prod-down_binary64 div-inv_binary64
cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 74
Calls

3 calls:

12.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)

series509.0ms (11%)

Counts
3 → 9
Calls

3 calls:

178.0ms
(cbrt.f64 (/.f64 1/2 a))
172.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
159.0ms
(cbrt.f64 g)

simplify88.0ms (1.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048311068
148311068

prune499.0ms (10.8%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New75883
Fresh5914
Picked011
Done033
Total8021101

Merged error: 0.0b

Counts
101 → 21
Compiler

Compiled 6515 to 5407 computations (17% saved)

regimes211.0ms (4.6%)

Compiler

Compiled 1490 to 1308 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample745.0ms (16.2%)

Algorithm
intervals
Results
231.0ms8000×body128valid
Compiler

Compiled 290 to 256 computations (11.7% saved)

Profiling

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