Details

Time bar (total: 1.2s)

analyze2.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample9.0ms (0.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify98.0ms (8.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
184

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x 1/3)

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7278 *-un-lft-identity_binary64_7239
flip-+_binary64_7213 flip3-+_binary64_7242 add-exp-log_binary64_7277 distribute-lft-out_binary64_7190 +-commutative_binary64_7169 pow1_binary64_7300 add-cbrt-cube_binary64_7275 sum-log_binary64_7330 add-sqr-sqrt_binary64_7261 add-cube-cbrt_binary64_7274
Counts
1 → 12
Calls

1 calls:

3.0ms
(+.f64 x 1/3)

series12.0ms (1%)

Counts
1 → 3
Calls

1 calls:

12.0ms
(+.f64 x 1/3)

simplify90.0ms (7.4%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04778101
14778101

prune14.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316
Error
0b
Counts
16 → 3
Compiler

Compiled 111 to 88 computations (20.7% saved)

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x 1/3)
0.0b
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.2b
(*.f64 x (-.f64 x 1/3))
21.0b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite34.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_7239
26×add-sqr-sqrt_binary64_7261
20×add-cube-cbrt_binary64_7274
15×cancel-sign-sub-inv_binary64_7205
12×times-frac_binary64_7245
add-exp-log_binary64_7277 add-log-exp_binary64_7278 distribute-lft-in_binary64_7188 distribute-rgt-in_binary64_7189 associate-+r+_binary64_7171 add-cbrt-cube_binary64_7275
pow1_binary64_7300
sub-neg_binary64_7232 associate-*r*_binary64_7179
associate-/l*_binary64_7184 distribute-lft-out_binary64_7190
flip-+_binary64_7213 flip3-+_binary64_7242 associate-/r*_binary64_7183 associate-*l*_binary64_7180
associate-*r/_binary64_7181 flip3--_binary64_7243 flip--_binary64_7214 associate-/l/_binary64_7186 associate-/r/_binary64_7185 distribute-lft-out--_binary64_7191 difference-of-squares_binary64_7208
cbrt-unprod_binary64_7272 pow-prod-down_binary64_7310 frac-2neg_binary64_7250 unswap-sqr_binary64_7207 *-commutative_binary64_7170 prod-exp_binary64_7288 div-inv_binary64_7236 cbrt-undiv_binary64_7273 div-exp_binary64_7290 +-commutative_binary64_7169 diff-log_binary64_7331 sum-log_binary64_7330 clear-num_binary64_7238
Counts
4 → 100
Calls

4 calls:

10.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
8.0ms
(*.f64 x (-.f64 x 1/3))
4.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
4.0ms
(-.f64 x 1/3)

series128.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

74.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
30.0ms
(*.f64 x (-.f64 x 1/3))
14.0ms
(-.f64 x 1/3)
10.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))

simplify74.0ms (6.1%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050871706

prune116.0ms (9.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115
Error
0b
Counts
115 → 3
Compiler

Compiled 2124 to 1645 computations (22.6% saved)

localize4.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x 1/3)
0.0b
(exp.f64 (+.f64 x 1/3))
0.5b
(log.f64 (exp.f64 (+.f64 x 1/3)))

rewrite14.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_7239
add-log-exp_binary64_7278 exp-prod_binary64_7291
add-sqr-sqrt_binary64_7261 add-cube-cbrt_binary64_7274
log-pow_binary64_7328
log-prod_binary64_7325 pow1_binary64_7300
add-exp-log_binary64_7277 distribute-lft-out_binary64_7190 add-cbrt-cube_binary64_7275
exp-sum_binary64_7285 sum-log_binary64_7330 rem-exp-log_binary64_7279
flip-+_binary64_7213 flip3-+_binary64_7242 +-commutative_binary64_7169 rem-log-exp_binary64_7280
Counts
3 → 43
Calls

3 calls:

5.0ms
(exp.f64 (+.f64 x 1/3))
4.0ms
(log.f64 (exp.f64 (+.f64 x 1/3)))
3.0ms
(+.f64 x 1/3)

series106.0ms (8.8%)

Counts
3 → 9
Calls

3 calls:

89.0ms
(log.f64 (exp.f64 (+.f64 x 1/3)))
10.0ms
(+.f64 x 1/3)
7.0ms
(exp.f64 (+.f64 x 1/3))

simplify119.0ms (9.9%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
04853363
14853363

prune30.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done022
Total52355
Error
0b
Counts
55 → 3
Compiler

Compiled 404 to 327 computations (19.1% saved)

regimes21.0ms (1.7%)

Accuracy

Total 0.0b remaining (74.9%)

Threshold costs 0.0b (74.9%)

Compiler

Compiled 64 to 60 computations (6.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

end0.0ms (0%)

sample317.0ms (26.2%)

Algorithm
intervals
Results
141.0ms8000×body128valid
Compiler

Compiled 35 to 34 computations (2.9% saved)

Profiling

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