Details

Time bar (total: 3.7s)

analyze323.0ms (8.6%)

Algorithm
search
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
25%74.9%0.1%5
25%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample25.0ms (0.7%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify190.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0497446
1497446

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite49.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
18×associate-*r/_binary64_2043
17×pow1_binary64_2157 add-exp-log_binary64_2134
16×add-cbrt-cube_binary64_2132
14×add-sqr-sqrt_binary64_2120
12×*-un-lft-identity_binary64_2099
10×add-cube-cbrt_binary64_2131 associate-*r*_binary64_2041
prod-exp_binary64_2145 pow-prod-down_binary64_2167 cbrt-unprod_binary64_2129
associate-*l*_binary64_2042
flip3-+_binary64_2102 add-log-exp_binary64_2135 flip-+_binary64_2073 frac-add_binary64_2107
unpow-prod-down_binary64_2175 distribute-rgt-in_binary64_2051 *-commutative_binary64_2032 distribute-lft-in_binary64_2050 pow-unpow_binary64_2173 flip3--_binary64_2103 flip--_binary64_2074 unswap-sqr_binary64_2067
sub-neg_binary64_2092
sqr-pow_binary64_2071 distribute-lft-out_binary64_2052 unpow2_binary64_2161 pow-exp_binary64_2164 pow-pow_binary64_2168 pow-to-exp_binary64_2165
Counts
4 → 91
Calls

4 calls:

15.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series247.0ms (6.6%)

Counts
4 → 12
Calls

4 calls:

69.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
64.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
59.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
56.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify64.0ms (1.7%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051322012

prune168.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh000
Picked011
Done000
Total1013104

Merged error: 0b

Counts
104 → 3
Compiler

Compiled 4009 to 2216 computations (44.7% saved)

localize25.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
2.1b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite55.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
44×pow1_binary64_2157
28×add-cbrt-cube_binary64_2132 add-exp-log_binary64_2134
21×pow-prod-down_binary64_2167
18×associate-*r/_binary64_2043
15×prod-exp_binary64_2145 cbrt-unprod_binary64_2129
12×add-sqr-sqrt_binary64_2120
11×associate-*r*_binary64_2041
10×*-un-lft-identity_binary64_2099
add-cube-cbrt_binary64_2131
associate-*l*_binary64_2042
flip3-+_binary64_2102 *-commutative_binary64_2032 add-log-exp_binary64_2135 pow-plus_binary64_2159 unswap-sqr_binary64_2067 pow-prod-up_binary64_2166 flip-+_binary64_2073 frac-add_binary64_2107
distribute-rgt-in_binary64_2051 distribute-lft-in_binary64_2050 flip3--_binary64_2103 flip--_binary64_2074
sub-neg_binary64_2092 pow2_binary64_2177 pow-sqr_binary64_2072
distribute-lft-out_binary64_2052
Counts
4 → 102
Calls

4 calls:

14.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
10.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

series246.0ms (6.6%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
68.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
62.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
43.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

simplify65.0ms (1.8%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051641921

prune230.0ms (6.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117

Merged error: 0b

Counts
117 → 3
Compiler

Compiled 5140 to 3076 computations (40.2% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))
19.6b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
19.6b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
19.6b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))

rewrite57.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod_binary64_2127
52×add-sqr-sqrt_binary64_2120
31×unpow-prod-down_binary64_2175
25×unswap-sqr_binary64_2067
22×add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
17×sqr-pow_binary64_2071 unpow2_binary64_2161
11×associate-*l*_binary64_2042 pow1_binary64_2157 associate-*r*_binary64_2041 swap-sqr_binary64_2066
pow1/3_binary64_2178
add-exp-log_binary64_2134
add-cbrt-cube_binary64_2132 add-log-exp_binary64_2135
pow-prod-down_binary64_2167 pow-prod-up_binary64_2166 pow-sqr_binary64_2072
*-commutative_binary64_2032 prod-exp_binary64_2145 pow2_binary64_2177 pow-plus_binary64_2159 cbrt-unprod_binary64_2129
Counts
4 → 124
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))

series611.0ms (16.4%)

Counts
4 → 12
Calls

4 calls:

168.0ms
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))
157.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
144.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))
143.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2))

simplify94.0ms (2.5%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049143517
149143517

prune309.0ms (8.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3
Compiler

Compiled 8001 to 3563 computations (55.5% saved)

regimes82.0ms (2.2%)

Compiler

Compiled 841 to 541 computations (35.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07758
17758

end0.0ms (0%)

sample848.0ms (22.7%)

Algorithm
intervals
Results
552.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 195 to 129 computations (33.8% saved)

Profiling

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