Details

Time bar (total: 4.5s)

analyze23.0ms (0.5%)

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)

sample13.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify8.0ms (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: 16.7b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

16.3b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (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)))

series154.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

154.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify73.0ms (1.6%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04790244
14790244

prune68.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New12719
Fresh000
Picked011
Done000
Total12820

Merged error: 0.2b

Counts
20 → 8
Compiler

Compiled 878 to 733 computations (16.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite15.0ms (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)))
4.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series521.0ms (11.5%)

Counts
3 → 9
Calls

3 calls:

196.0ms
(cbrt.f64 (*.f64 2 a))
164.0ms
(cbrt.f64 g)
161.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

simplify55.0ms (1.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049401128
149401128

prune487.0ms (10.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New631275
Fresh246
Picked011
Done011
Total651883

Merged error: 0.1b

Counts
83 → 18
Compiler

Compiled 7068 to 5614 computations (20.6% 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)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite23.0ms (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:

14.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)

series461.0ms (10.2%)

Counts
3 → 9
Calls

3 calls:

164.0ms
(cbrt.f64 g)
152.0ms
(cbrt.f64 (/.f64 1/2 a))
145.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

simplify87.0ms (1.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
048311068
148311068

prune558.0ms (12.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New711283
Fresh9615
Picked101
Done022
Total8120101

Merged error: 0.0b

Counts
101 → 20
Compiler

Compiled 7838 to 6414 computations (18.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite33.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod_binary64
38×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64 add-cube-cbrt_binary64
22×associate-*l*_binary64
20×times-frac_binary64
11×pow1_binary64 add-exp-log_binary64
pow-prod-down_binary64 associate-*r*_binary64 pow1/3_binary64
unswap-sqr_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
cbrt-div_binary64
div-inv_binary64 associate-*l/_binary64 *-commutative_binary64
associate-*r/_binary64
Counts
4 → 97
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
10.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
3.0ms
(cbrt.f64 (/.f64 -1 a))
1.0ms
(cbrt.f64 g)

series676.0ms (15%)

Counts
4 → 12
Calls

4 calls:

197.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
173.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
154.0ms
(cbrt.f64 (/.f64 -1 a))
152.0ms
(cbrt.f64 g)

simplify56.0ms (1.2%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049371450
149371450

prune234.0ms (5.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1063109
Fresh11617
Picked101
Done022
Total10821129

Merged error: 0.0b

Counts
129 → 21
Compiler

Compiled 3430 to 2765 computations (19.4% saved)

regimes206.0ms (4.6%)

Compiler

Compiled 1495 to 1353 computations (9.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample733.0ms (16.2%)

Algorithm
intervals
Results
225.0ms8000×body128valid
Compiler

Compiled 291 to 265 computations (8.9% saved)

Profiling

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