Details

Time bar (total: 3.0s)

analyze4.0ms (0.1%)

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%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
6.0ms75×body512valid
4.0ms141×body128valid
2.0ms32×body256valid
1.0msbody1024valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify169.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07616
17616

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 15.4b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
4.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite61.0ms (2%)

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity_binary64_2099
72×add-sqr-sqrt_binary64_2120
69×times-frac_binary64_2105
32×add-cube-cbrt_binary64_2131
27×distribute-lft-out--_binary64_2053
17×difference-of-squares_binary64_2068
11×associate-/r*_binary64_2045 add-exp-log_binary64_2134
10×distribute-lft-out_binary64_2052
add-cbrt-cube_binary64_2132
associate-/r/_binary64_2047 associate-/l*_binary64_2046 div-inv_binary64_2096
pow1_binary64_2157 add-log-exp_binary64_2135
div-exp_binary64_2147 difference-of-sqr-1_binary64_2069
flip--_binary64_2074
pow-flip_binary64_2170 cbrt-undiv_binary64_2130 1-exp_binary64_2140 inv-pow_binary64_2181 rec-exp_binary64_2146 frac-2neg_binary64_2110 flip3--_binary64_2103 clear-num_binary64_2098 flip-+_binary64_2073
sub-neg_binary64_2092 flip3-+_binary64_2102 frac-sub_binary64_2108 diff-log_binary64_2188
Counts
3 → 124
Calls

3 calls:

33.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 1 (+.f64 x 1))

series104.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

66.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
19.0ms
(/.f64 1 (-.f64 x 1))
18.0ms
(/.f64 1 (+.f64 x 1))

simplify67.0ms (2.2%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
048492118
148492118

prune141.0ms (4.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1312133
Fresh000
Picked101
Done000
Total1322134

Merged error: 0.4b

Counts
134 → 2
Compiler

Compiled 2339 to 1928 computations (17.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 times-frac_binary64_2105 *-un-lft-identity_binary64_2099
add-cbrt-cube_binary64_2132 associate-/r*_binary64_2045 associate-/l*_binary64_2046 add-exp-log_binary64_2134
associate-/r/_binary64_2047
cbrt-undiv_binary64_2130 flip3-+_binary64_2102 pow1_binary64_2157 div-exp_binary64_2147 frac-2neg_binary64_2110 add-log-exp_binary64_2135 clear-num_binary64_2098 div-inv_binary64_2096 flip-+_binary64_2073
Counts
1 → 29
Calls

1 calls:

5.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series42.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify63.0ms (2.1%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05270557

prune36.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh101
Picked011
Done000
Total29534

Merged error: 0.3b

Counts
34 → 5
Compiler

Compiled 540 to 368 computations (31.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite27.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64_2128
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 flip3-+_binary64_2102 *-un-lft-identity_binary64_2099 cbrt-prod_binary64_2127 flip-+_binary64_2073 add-exp-log_binary64_2134
associate-/r/_binary64_2047
add-cbrt-cube_binary64_2132
pow1_binary64_2157 add-log-exp_binary64_2135 frac-times_binary64_2109
pow1/3_binary64_2178 times-frac_binary64_2105 associate-/l*_binary64_2046
cbrt-undiv_binary64_2130 associate-*r/_binary64_2043 div-exp_binary64_2147 associate-*l/_binary64_2044
frac-2neg_binary64_2110 prod-exp_binary64_2145 associate-/r*_binary64_2045 clear-num_binary64_2098 div-inv_binary64_2096 cbrt-unprod_binary64_2129
Counts
4 → 68
Calls

4 calls:

11.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series390.0ms (13%)

Counts
4 → 12
Calls

4 calls:

128.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
94.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
86.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
82.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify61.0ms (2%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050691523

prune122.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76480
Fresh123
Picked011
Done011
Total77885

Merged error: 0.3b

Counts
85 → 8
Compiler

Compiled 2468 to 1632 computations (33.9% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

16.0b
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
16.2b
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite23.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod_binary64_2127
16×add-sqr-sqrt_binary64_2120
13×*-un-lft-identity_binary64_2099
add-cube-cbrt_binary64_2131 cbrt-div_binary64_2128
difference-of-squares_binary64_2068
pow1/3_binary64_2178 add-cbrt-cube_binary64_2132 pow1_binary64_2157 add-log-exp_binary64_2135 add-exp-log_binary64_2134
sqr-pow_binary64_2071 flip3-+_binary64_2102 unpow-prod-down_binary64_2175 flip3--_binary64_2103 flip--_binary64_2074 flip-+_binary64_2073
distribute-lft-out--_binary64_2053
Counts
4 → 60
Calls

4 calls:

6.0ms
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series681.0ms (22.6%)

Counts
4 → 12
Calls

4 calls:

385.0ms
(cbrt.f64 (-.f64 1 (pow.f64 x 4)))
122.0ms
(cbrt.f64 (-.f64 -1 (*.f64 x x)))
90.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
83.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify110.0ms (3.7%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
048541291
148541291

prune130.0ms (4.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 0.3b

Counts
80 → 8
Compiler

Compiled 2633 to 1796 computations (31.8% saved)

regimes20.0ms (0.7%)

Compiler

Compiled 191 to 137 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample693.0ms (23.1%)

Algorithm
intervals
Results
159.0ms2042×body512valid
138.0ms4519×body128valid
57.0ms1031×body256valid
42.0ms408×body1024valid
Compiler

Compiled 208 to 153 computations (26.4% saved)

Profiling

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