Details

Time bar (total: 6.9s)

analyze531.0ms (7.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample46.0ms (0.7%)

Algorithm
intervals
Results
27.0ms256×body128valid
1.0ms17×body128nan
0.0msbody128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify652.0ms (9.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (492.0ms)

IterNodesCost
0497417
1497417

prune5.0ms (0.1%)

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 22 to 20 computations (9.1% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b
(-.f64 (*.f64 x (log.f64 y)) y)
0.3b
(*.f64 x (log.f64 y))

rewrite51.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×associate--l+_binary64_3084
18×add-sqr-sqrt_binary64_3169 log-prod_binary64_3233
16×*-un-lft-identity_binary64_3147
14×add-cube-cbrt_binary64_3182
10×add-log-exp_binary64_3186
cancel-sign-sub-inv_binary64_3113 distribute-lft-in_binary64_3096 distribute-rgt-in_binary64_3097
pow1_binary64_3208
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
associate-*r*_binary64_3087 diff-log_binary64_3239
sub-neg_binary64_3140 associate-*l*_binary64_3088
flip--_binary64_3122 flip3--_binary64_3151
*-commutative_binary64_3078 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 distribute-lft-out--_binary64_3099 prod-exp_binary64_3196 difference-of-squares_binary64_3116 cbrt-unprod_binary64_3180 associate--l-_binary64_3085 log-pow_binary64_3236
Counts
3 → 73
Calls

3 calls:

18.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
11.0ms
(-.f64 (*.f64 x (log.f64 y)) y)
11.0ms
(*.f64 x (log.f64 y))

series208.0ms (3%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(-.f64 (*.f64 x (log.f64 y)) y)
63.0ms
(*.f64 x (log.f64 y))
61.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)

simplify128.0ms (1.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
04994953
14994953

prune122.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh000
Picked011
Done000
Total78583

Merged error: 0.0b

Counts
83 → 5
Compiler

Compiled 1366 to 347 computations (74.6% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite43.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
24×log-prod_binary64_3233
18×add-sqr-sqrt_binary64_3169 cbrt-prod_binary64_3178
16×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
12×distribute-lft-in_binary64_3096 associate-+r+_binary64_3079 distribute-rgt-in_binary64_3097
pow1_binary64_3208
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 add-log-exp_binary64_3186
associate-*r*_binary64_3087
pow1/3_binary64_3229 associate-*l*_binary64_3088
log-pow_binary64_3236
*-commutative_binary64_3078 unswap-sqr_binary64_3115 flip-+_binary64_3121 pow-prod-down_binary64_3218 flip3-+_binary64_3150 distribute-lft-out_binary64_3098 +-commutative_binary64_3077 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 sum-log_binary64_3238
Counts
4 → 78
Calls

4 calls:

15.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
10.0ms
(*.f64 x (log.f64 (cbrt.f64 y)))
3.0ms
(cbrt.f64 y)
3.0ms
(cbrt.f64 y)

series660.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

207.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
169.0ms
(cbrt.f64 y)
160.0ms
(cbrt.f64 y)
124.0ms
(*.f64 x (log.f64 (cbrt.f64 y)))

simplify97.0ms (1.4%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05197988

prune163.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh123
Picked011
Done011
Total89695

Merged error: 0b

Counts
95 → 6
Compiler

Compiled 2165 to 889 computations (58.9% saved)

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.7b
(cbrt.f64 (cbrt.f64 y))
0.7b
(cbrt.f64 (cbrt.f64 y))

rewrite21.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64_3178
10×*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
pow1/3_binary64_3229 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208 add-log-exp_binary64_3186
Counts
4 → 50
Calls

4 calls:

3.0ms
(cbrt.f64 (cbrt.f64 y))
3.0ms
(cbrt.f64 (cbrt.f64 y))
3.0ms
(cbrt.f64 y)
3.0ms
(cbrt.f64 y)

series701.0ms (10.2%)

Counts
4 → 12
Calls

4 calls:

202.0ms
(cbrt.f64 (cbrt.f64 y))
199.0ms
(cbrt.f64 (cbrt.f64 y))
150.0ms
(cbrt.f64 y)
149.0ms
(cbrt.f64 y)

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04984466
14984466

prune140.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done022
Total62668

Merged error: 0b

Counts
68 → 6
Compiler

Compiled 2135 to 969 computations (54.6% saved)

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b
(cbrt.f64 y)
5.1b
(pow.f64 y 1/3)

rewrite52.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 associate-+r+_binary64_3079 add-cube-cbrt_binary64_3182 log-prod_binary64_3233
10×add-exp-log_binary64_3185 pow1_binary64_3208
add-cbrt-cube_binary64_3183 cbrt-prod_binary64_3178
distribute-lft-in_binary64_3096 add-log-exp_binary64_3186 distribute-rgt-in_binary64_3097
unpow-prod-down_binary64_3226 pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 pow-unpow_binary64_3224 associate-*l*_binary64_3088
*-commutative_binary64_3078 pow-exp_binary64_3215 pow1/3_binary64_3229 flip-+_binary64_3121 associate-*r*_binary64_3087 flip3-+_binary64_3150 pow-to-exp_binary64_3216 sqr-pow_binary64_3119 unpow1/3_binary64_3214 distribute-lft-out_binary64_3098 +-commutative_binary64_3077 pow-pow_binary64_3219 sum-log_binary64_3238
Counts
4 → 71
Calls

4 calls:

16.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
11.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))
5.0ms
(pow.f64 y 1/3)
2.0ms
(cbrt.f64 y)

series600.0ms (8.7%)

Counts
4 → 12
Calls

4 calls:

196.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
152.0ms
(cbrt.f64 y)
134.0ms
(pow.f64 y 1/3)
117.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify145.0ms (2.1%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
05035764

prune136.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done033
Total83689

Merged error: 0b

Counts
89 → 6
Compiler

Compiled 1837 to 827 computations (55% saved)

regimes431.0ms (6.3%)

Compiler

Compiled 2126 to 1620 computations (23.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03117
13117

end0.0ms (0%)

sample1.7s (25.4%)

Algorithm
intervals
Results
816.0ms8000×body128valid
28.0ms383×body128nan
3.0ms31×body128invalid
Compiler

Compiled 281 to 216 computations (23.1% saved)

Profiling

Loading profile data...