Details

Time bar (total: 4.0s)

analyze54.0ms (1.4%)

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
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample31.0ms (0.8%)

Algorithm
intervals
Results
20.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify144.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04810
14810

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.0b
(*.f64 (-.f64 x 4/29) 3)
0.2b
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)

rewrite39.0ms (1%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_14081
11×*-un-lft-identity_binary64_14059
10×add-cbrt-cube_binary64_14095 pow1_binary64_14120 add-exp-log_binary64_14097
add-cube-cbrt_binary64_14094
associate-*r*_binary64_13999 associate-*l/_binary64_14002 associate-*l*_binary64_14000
add-log-exp_binary64_14098
prod-exp_binary64_14108 cbrt-unprod_binary64_14092 pow-prod-down_binary64_14130
flip--_binary64_14034 cancel-sign-sub-inv_binary64_14025 flip3--_binary64_14063
*-commutative_binary64_13990 difference-of-squares_binary64_14028 distribute-lft-out--_binary64_14011
unswap-sqr_binary64_14027 diff-log_binary64_14151 sub-neg_binary64_14052
Counts
3 → 58
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
11.0ms
(*.f64 (-.f64 x 4/29) 3)
7.0ms
(-.f64 x 4/29)

series114.0ms (2.8%)

Counts
3 → 9
Calls

3 calls:

56.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
42.0ms
(*.f64 (-.f64 x 4/29) 3)
16.0ms
(-.f64 x 4/29)

simplify107.0ms (2.7%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04877620
14877620

prune68.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh000
Picked011
Done000
Total61768
Error
0.0b
Counts
68 → 7
Compiler

Compiled 827 to 634 computations (23.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x 4/29)
0.3b
(*.f64 (-.f64 x 4/29) (*.f64 3 y))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_14059 add-sqr-sqrt_binary64_14081
add-cbrt-cube_binary64_14095 pow1_binary64_14120 add-exp-log_binary64_14097
associate-*l*_binary64_14000
add-log-exp_binary64_14098 add-cube-cbrt_binary64_14094
prod-exp_binary64_14108 cbrt-unprod_binary64_14092 pow-prod-down_binary64_14130 cancel-sign-sub-inv_binary64_14025
flip--_binary64_14034 associate-*l/_binary64_14002 difference-of-squares_binary64_14028 distribute-lft-out--_binary64_14011 flip3--_binary64_14063
associate-*r*_binary64_13999 *-commutative_binary64_13990 diff-log_binary64_14151 sub-neg_binary64_14052
Counts
2 → 38
Calls

2 calls:

7.0ms
(*.f64 (-.f64 x 4/29) (*.f64 3 y))
4.0ms
(-.f64 x 4/29)

series47.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(*.f64 (-.f64 x 4/29) (*.f64 3 y))
12.0ms
(-.f64 x 4/29)

simplify117.0ms (2.9%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
04908411
14908411

prune69.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh145
Picked011
Done011
Total43851
Error
0.0b
Counts
51 → 8
Compiler

Compiled 582 to 450 computations (22.7% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)))
0.6b
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
0.6b
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
0.6b
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))

rewrite76.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
38×associate-*l/_binary64_14002
18×cbrt-div_binary64_14091
11×pow1_binary64_14120
10×add-sqr-sqrt_binary64_14081
flip--_binary64_14034 pow1/3_binary64_14141 flip3--_binary64_14063
add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
cbrt-prod_binary64_14090
add-exp-log_binary64_14097
frac-times_binary64_14069 swap-sqr_binary64_14026 add-log-exp_binary64_14098 add-cbrt-cube_binary64_14095 associate-*r*_binary64_13999 associate-*l*_binary64_14000
pow-prod-up_binary64_14129 associate-*r/_binary64_14001 pow-prod-down_binary64_14130 pow-sqr_binary64_14032
pow2_binary64_14140 prod-exp_binary64_14108 cbrt-unprod_binary64_14092 pow-plus_binary64_14122 *-commutative_binary64_13990 unswap-sqr_binary64_14027
Counts
4 → 72
Calls

4 calls:

18.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)))
16.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
13.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
12.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))

series612.0ms (15.2%)

Counts
4 → 12
Calls

4 calls:

176.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
168.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))
155.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y)))
113.0ms
(cbrt.f64 (*.f64 (*.f64 (-.f64 x 4/29) 3) y))

simplify103.0ms (2.6%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
052721888

prune207.0ms (5.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892
Error
0.0b
Counts
92 → 8
Compiler

Compiled 2800 to 2192 computations (21.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_14090
23×add-sqr-sqrt_binary64_14081
15×add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
11×pow1_binary64_14120
pow1/3_binary64_14141
swap-sqr_binary64_14026 associate-*r*_binary64_13999 associate-*l*_binary64_14000 add-exp-log_binary64_14097
add-log-exp_binary64_14098 add-cbrt-cube_binary64_14095 unswap-sqr_binary64_14027
pow-prod-up_binary64_14129 pow-prod-down_binary64_14130 pow-sqr_binary64_14032
pow2_binary64_14140 prod-exp_binary64_14108 cbrt-unprod_binary64_14092 pow-plus_binary64_14122 *-commutative_binary64_13990
Counts
4 → 73
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)

series526.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
152.0ms
(cbrt.f64 y)
98.0ms
(cbrt.f64 y)
93.0ms
(cbrt.f64 y)

simplify71.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04892563
14892563

prune124.0ms (3.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done033
Total85893
Error
0.0b
Counts
93 → 8
Compiler

Compiled 1414 to 741 computations (47.6% saved)

regimes216.0ms (5.4%)

Accuracy

Total 0.2b remaining (96.1%)

Threshold costs 0.2b (96.1%)

Compiler

Compiled 1436 to 1289 computations (10.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02210
12210

end0.0ms (0%)

sample1.2s (29.9%)

Algorithm
intervals
Results
411.0ms8000×body128valid
4.0ms69×body128invalid
Compiler

Compiled 302 to 273 computations (9.6% saved)

Profiling

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