Details

Time bar (total: 2.4s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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 10 computations (16.7% saved)

sample13.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify171.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite56.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_2099
41×times-frac_binary64_2105
40×add-sqr-sqrt_binary64_2120
24×add-cube-cbrt_binary64_2131
12×distribute-lft-out_binary64_2052
11×associate-/r*_binary64_2045
add-exp-log_binary64_2134
difference-of-squares_binary64_2068
add-cbrt-cube_binary64_2132
associate-/l*_binary64_2046 distribute-lft-out--_binary64_2053
add-log-exp_binary64_2135
pow1_binary64_2157 associate-/r/_binary64_2047 difference-of-sqr-1_binary64_2069
div-exp_binary64_2147 div-inv_binary64_2096
cbrt-undiv_binary64_2130 flip3-+_binary64_2102 frac-2neg_binary64_2110 clear-num_binary64_2098 flip-+_binary64_2073
pow-flip_binary64_2170 1-exp_binary64_2140 inv-pow_binary64_2181 rec-exp_binary64_2146 sum-log_binary64_2187 +-commutative_binary64_2031 flip3--_binary64_2103 flip--_binary64_2074 frac-add_binary64_2107
Counts
3 → 100
Calls

3 calls:

34.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
7.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 x (+.f64 x 1))

series114.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
29.0ms
(/.f64 x (+.f64 x 1))
19.0ms
(/.f64 1 (-.f64 x 1))

simplify67.0ms (2.8%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050761579

prune295.0ms (12.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh000
Picked101
Done000
Total1082110

Merged error: 0b

Counts
110 → 2
Compiler

Compiled 1895 to 1387 computations (26.8% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite60.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_2099
41×times-frac_binary64_2105
40×add-sqr-sqrt_binary64_2120
24×add-cube-cbrt_binary64_2131
12×distribute-lft-out_binary64_2052
11×associate-/r*_binary64_2045
add-exp-log_binary64_2134
difference-of-squares_binary64_2068
add-cbrt-cube_binary64_2132
associate-/l*_binary64_2046 distribute-lft-out--_binary64_2053
add-log-exp_binary64_2135
pow1_binary64_2157 associate-/r/_binary64_2047 difference-of-sqr-1_binary64_2069
div-exp_binary64_2147 div-inv_binary64_2096
cbrt-undiv_binary64_2130 flip3-+_binary64_2102 frac-2neg_binary64_2110 clear-num_binary64_2098 flip-+_binary64_2073
pow-flip_binary64_2170 1-exp_binary64_2140 inv-pow_binary64_2181 rec-exp_binary64_2146 sum-log_binary64_2187 +-commutative_binary64_2031 flip3--_binary64_2103 flip--_binary64_2074 frac-add_binary64_2107
Counts
3 → 100
Calls

3 calls:

38.0ms
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
7.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 x (+.f64 x 1))

series110.0ms (4.6%)

Counts
3 → 9
Calls

3 calls:

63.0ms
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
27.0ms
(/.f64 x (+.f64 x 1))
20.0ms
(/.f64 1 (-.f64 x 1))

simplify66.0ms (2.7%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050451579

prune115.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done000
Total1092111

Merged error: 0b

Counts
111 → 2
Compiler

Compiled 2100 to 1594 computations (24.1% saved)

localize16.0ms (0.7%)

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)

rewrite20.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2127
23×add-sqr-sqrt_binary64_2120
15×add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
11×pow1_binary64_2157
pow1/3_binary64_2178
associate-*l*_binary64_2042 associate-*r*_binary64_2041 add-exp-log_binary64_2134 swap-sqr_binary64_2066
add-cbrt-cube_binary64_2132 add-log-exp_binary64_2135 unswap-sqr_binary64_2067
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 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series643.0ms (26.7%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
156.0ms
(cbrt.f64 x)
155.0ms
(cbrt.f64 x)
152.0ms
(cbrt.f64 x)

simplify72.0ms (3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04957563
14957563

prune128.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done011
Total85287

Merged error: 0b

Counts
87 → 2
Compiler

Compiled 2689 to 1760 computations (34.5% saved)

regimes9.0ms (0.4%)

Compiler

Compiled 44 to 34 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02220
12220

end0.0ms (0%)

sample430.0ms (17.8%)

Algorithm
intervals
Results
242.0ms8000×body128valid
Compiler

Compiled 67 to 54 computations (19.4% saved)

Profiling

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