Details

Time bar (total: 3.6s)

analyze116.0ms (3.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015014
115014
022
122
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
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.4%)

Algorithm
intervals
Results
5.0ms239×body128valid
1.0msbody2048valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify16.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0987
1987

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 3/8 y))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64_7278
diff-log_binary64_7331 pow1_binary64_7300 add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275 add-cube-cbrt_binary64_7274 add-sqr-sqrt_binary64_7261 flip3--_binary64_7243 *-un-lft-identity_binary64_7239 sub-neg_binary64_7232 flip--_binary64_7214 cancel-sign-sub-inv_binary64_7205
Counts
1 → 12
Calls

1 calls:

3.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 143 to 100 computations (30.1% saved)

series64.0ms (1.8%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

58.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
05770201

prune17.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325
Error
0.0b
Counts
25 → 3
Compiler

Compiled 194 to 132 computations (32% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 y 3/8))
0.1b
(*.f64 y (*.f64 y 9/64))
3.3b
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
30.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 y 3/8)))

rewrite101.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-cube-cbrt_binary64_7274 add-sqr-sqrt_binary64_7261 *-un-lft-identity_binary64_7239
11×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
pow1_binary64_7300 times-frac_binary64_7245
add-log-exp_binary64_7278
associate-/l*_binary64_7184 associate-/r*_binary64_7183 pow-prod-down_binary64_7310 prod-exp_binary64_7288 cbrt-unprod_binary64_7272 associate-*l*_binary64_7180
flip3--_binary64_7243 associate-/l/_binary64_7186 flip--_binary64_7214 flip3-+_binary64_7242 associate-/r/_binary64_7185 flip-+_binary64_7213
div-exp_binary64_7290 cbrt-undiv_binary64_7273 frac-2neg_binary64_7250 div-sub_binary64_7244 clear-num_binary64_7238 div-inv_binary64_7236 diff-log_binary64_7331 sub-neg_binary64_7232 cancel-sign-sub-inv_binary64_7205 associate-*r*_binary64_7179 *-commutative_binary64_7170 sum-log_binary64_7330 +-commutative_binary64_7169
Counts
4 → 73
Calls

4 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 y 3/8)))
5.0ms
(*.f64 y (*.f64 y 9/64))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
3.0ms
(+.f64 x (*.f64 y 3/8))
Compiler

Compiled 1871 to 1085 computations (42% saved)

series390.0ms (10.8%)

Error
0.0b
Counts
4 → 39
Calls

4 calls:

160.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 y 3/8)))
119.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
58.0ms
(+.f64 x (*.f64 y 3/8))
29.0ms
(*.f64 y (*.f64 y 9/64))
Compiler

Compiled 1053 to 792 computations (24.8% saved)

simplify59.0ms (1.6%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049871604
149871604

prune100.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh011
Picked011
Done011
Total1105115
Error
0.0b
Counts
115 → 5
Compiler

Compiled 2018 to 1144 computations (43.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 -3/8 y) x)
0.2b
(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
0.2b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))

rewrite187.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
90×times-frac_binary64_7245
55×add-cube-cbrt_binary64_7274 add-sqr-sqrt_binary64_7261 *-un-lft-identity_binary64_7239
26×add-exp-log_binary64_7277
18×associate-/r*_binary64_7183
16×div-exp_binary64_7290
11×associate-/r/_binary64_7185
10×add-cbrt-cube_binary64_7275
1-exp_binary64_7283 rec-exp_binary64_7289
pow1_binary64_7300 div-inv_binary64_7236 flip3-+_binary64_7242 flip-+_binary64_7213 associate-/l*_binary64_7184
pow-flip_binary64_7313 add-log-exp_binary64_7278
cbrt-undiv_binary64_7273
inv-pow_binary64_7324
frac-2neg_binary64_7250 clear-num_binary64_7238
remove-double-div_binary64_7215 sum-log_binary64_7330 +-commutative_binary64_7169
Counts
3 → 137
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))
6.0ms
(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
4.0ms
(+.f64 (*.f64 -3/8 y) x)
Compiler

Compiled 2648 to 2143 computations (19.1% saved)

series251.0ms (6.9%)

Error
0.0b
Counts
3 → 48
Calls

3 calls:

91.0ms
(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
64.0ms
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))
60.0ms
(+.f64 (*.f64 -3/8 y) x)
Compiler

Compiled 1290 to 1124 computations (12.9% saved)

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
054652836

prune159.0ms (4.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1841185
Fresh022
Picked101
Done022
Total1855190
Error
0.0b
Counts
190 → 5
Compiler

Compiled 2592 to 1902 computations (26.6% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 -8/3 y))
0.4b
(/.f64 -8/3 y)

rewrite108.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
84×times-frac_binary64_7245
52×add-cube-cbrt_binary64_7274 add-sqr-sqrt_binary64_7261 *-un-lft-identity_binary64_7239
16×associate-/r*_binary64_7183
15×add-exp-log_binary64_7277
add-cbrt-cube_binary64_7275
div-exp_binary64_7290
div-inv_binary64_7236 associate-/l*_binary64_7184
cbrt-undiv_binary64_7273
pow1_binary64_7300
add-log-exp_binary64_7278 frac-2neg_binary64_7250 clear-num_binary64_7238 1-exp_binary64_7283 rec-exp_binary64_7289
inv-pow_binary64_7324 pow-flip_binary64_7313 associate-/r/_binary64_7185
Counts
2 → 103
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 -8/3 y))
3.0ms
(/.f64 -8/3 y)
Compiler

Compiled 1341 to 1066 computations (20.5% saved)

series33.0ms (0.9%)

Error
0.0b
Counts
2 → 6
Calls

2 calls:

17.0ms
(/.f64 -8/3 y)
14.0ms
(/.f64 1 (/.f64 -8/3 y))
Compiler

Compiled 72 to 80 computations (-11.1% saved)

simplify100.0ms (2.8%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
048651264
148651264

prune86.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1072109
Fresh202
Picked011
Done022
Total1095114
Error
0b
Counts
114 → 5
Compiler

Compiled 1090 to 827 computations (24.1% saved)

regimes342.0ms (9.5%)

Accuracy

Total 0.1b remaining (91.8%)

Threshold costs 0.1b (91.8%)

Compiler

Compiled 3304 to 2722 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0357
1357

end0.0ms (0%)

sample1.2s (34.3%)

Algorithm
intervals
Results
175.0ms7422×body128valid
16.0ms177×body2048valid
15.0ms207×body1024valid
6.0ms110×body512valid
3.0ms84×body256valid
Compiler

Compiled 832 to 687 computations (17.4% saved)

Profiling

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