Details

Time bar (total: 6.0s)

analyze60.0ms (1%)

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
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.2%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify183.0ms (3.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
016510
116510

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 x y))
0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2165
pow1_binary64_2204 add-log-exp_binary64_2182 add-exp-log_binary64_2181 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143 add-cbrt-cube_binary64_2179
sub-neg_binary64_2136 associate-*r*_binary64_2083 associate-*l*_binary64_2084 cancel-sign-sub-inv_binary64_2109
flip--_binary64_2118 distribute-rgt-in_binary64_2093 flip3--_binary64_2147 associate-*r/_binary64_2085 distribute-lft-in_binary64_2092
diff-log_binary64_2235 cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192 unswap-sqr_binary64_2111 *-commutative_binary64_2074
Counts
2 → 36
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
3.0ms
(-.f64 1 (*.f64 x y))

series106.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
40.0ms
(-.f64 1 (*.f64 x y))

simplify61.0ms (1%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04836491
14836491

prune110.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7
Compiler

Compiled 1734 to 1119 computations (35.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2174
23×add-sqr-sqrt_binary64_2165
18×cbrt-div_binary64_2175
15×add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
11×pow1_binary64_2204
flip--_binary64_2118 flip3--_binary64_2147 pow1/3_binary64_2225
associate-*r*_binary64_2083 add-exp-log_binary64_2181 associate-*l*_binary64_2084 swap-sqr_binary64_2110
add-log-exp_binary64_2182 frac-times_binary64_2153 unswap-sqr_binary64_2111 add-cbrt-cube_binary64_2179
pow-sqr_binary64_2116 pow-prod-up_binary64_2213 pow-prod-down_binary64_2214 associate-*l/_binary64_2086 associate-*r/_binary64_2085
pow2_binary64_2224 pow-plus_binary64_2206 cbrt-unprod_binary64_2176 prod-exp_binary64_2192 *-commutative_binary64_2074
Counts
4 → 87
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))

series1.2s (20.8%)

Counts
4 → 12
Calls

4 calls:

330.0ms
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
307.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
305.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
301.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify94.0ms (1.6%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
051931998

prune190.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh145
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8
Compiler

Compiled 3873 to 2336 computations (39.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b
(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.4b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

rewrite21.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_2174
11×add-sqr-sqrt_binary64_2165 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
unpow-prod-down_binary64_2222
cbrt-div_binary64_2175
pow1_binary64_2204 add-exp-log_binary64_2181
add-log-exp_binary64_2182 add-cbrt-cube_binary64_2179 pow1/3_binary64_2225
flip--_binary64_2118 pow-unpow_binary64_2220 flip3--_binary64_2147
pow-pow_binary64_2215
pow-to-exp_binary64_2212 sqr-pow_binary64_2115 pow-exp_binary64_2211
Counts
4 → 63
Calls

4 calls:

6.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))

series2.2s (37%)

Counts
4 → 12
Calls

4 calls:

1.3s
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)
299.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
297.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))
293.0ms
(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049031498
149031498

prune128.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh055
Picked011
Done022
Total75883

Merged error: 0.0b

Counts
83 → 8
Compiler

Compiled 2659 to 1662 computations (37.5% saved)

localize9.0ms (0.1%)

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)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2174
23×add-sqr-sqrt_binary64_2165
15×add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
11×pow1_binary64_2204
pow1/3_binary64_2225
associate-*r*_binary64_2083 add-exp-log_binary64_2181 associate-*l*_binary64_2084 swap-sqr_binary64_2110
add-log-exp_binary64_2182 unswap-sqr_binary64_2111 add-cbrt-cube_binary64_2179
pow-sqr_binary64_2116 pow-prod-up_binary64_2213 pow-prod-down_binary64_2214
pow2_binary64_2224 pow-plus_binary64_2206 cbrt-unprod_binary64_2176 prod-exp_binary64_2192 *-commutative_binary64_2074
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)

series645.0ms (10.8%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
165.0ms
(cbrt.f64 x)
152.0ms
(cbrt.f64 x)
147.0ms
(cbrt.f64 x)

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05245563

prune96.0ms (1.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done033
Total84993

Merged error: 0.0b

Counts
93 → 9
Compiler

Compiled 1962 to 954 computations (51.4% saved)

regimes64.0ms (1.1%)

Compiler

Compiled 582 to 410 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510

end0.0ms (0%)

sample530.0ms (8.9%)

Algorithm
intervals
Results
193.0ms8000×body128valid
2.0ms85×body128invalid
Compiler

Compiled 203 to 145 computations (28.6% saved)

Profiling

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