Details

Time bar (total: 3.8s)

analyze131.0ms (3.5%)

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
25%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify308.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (143.0ms)

IterNodesCost
0491520
1491520

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 71 to 49 computations (31% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.1b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.2b
(*.f64 (*.f64 x.re x.im) 3)

rewrite32.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube_binary64_3211 add-exp-log_binary64_3213 pow1_binary64_3236
12×cancel-sign-sub-inv_binary64_3141
prod-exp_binary64_3224 pow-prod-down_binary64_3246 cbrt-unprod_binary64_3208
*-un-lft-identity_binary64_3175 add-cube-cbrt_binary64_3210 add-sqr-sqrt_binary64_3197
add-log-exp_binary64_3214
associate-*l*_binary64_3116 associate-*r*_binary64_3115
unpow-prod-down_binary64_3254 cube-prod_binary64_3203
*-commutative_binary64_3106
flip--_binary64_3150 flip3--_binary64_3179 diff-log_binary64_3267 unpow3_binary64_3241 sqr-pow_binary64_3147 sub-neg_binary64_3168 cube-mult_binary64_3205
Counts
3 → 62
Calls

3 calls:

11.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
6.0ms
(*.f64 (*.f64 x.re x.im) 3)

series161.0ms (4.2%)

Counts
3 → 9
Calls

3 calls:

99.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
31.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
30.0ms
(*.f64 (*.f64 x.re x.im) 3)

simplify93.0ms (2.5%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04911985
14911985

prune140.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh011
Picked011
Done000
Total66773

Merged error: 0.0b

Counts
73 → 7
Compiler

Compiled 2111 to 1523 computations (27.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.1b
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
0.2b
(*.f64 x.re (*.f64 x.im 3))

rewrite28.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube_binary64_3211 add-exp-log_binary64_3213 pow1_binary64_3236
12×cancel-sign-sub-inv_binary64_3141
prod-exp_binary64_3224 pow-prod-down_binary64_3246 cbrt-unprod_binary64_3208
*-un-lft-identity_binary64_3175 add-cube-cbrt_binary64_3210 add-sqr-sqrt_binary64_3197
associate-*l*_binary64_3116
add-log-exp_binary64_3214
unpow-prod-down_binary64_3254 cube-prod_binary64_3203
*-commutative_binary64_3106 associate-*r*_binary64_3115
flip--_binary64_3150 flip3--_binary64_3179 diff-log_binary64_3267 unpow3_binary64_3241 sqr-pow_binary64_3147 sub-neg_binary64_3168 cube-mult_binary64_3205
Counts
3 → 62
Calls

3 calls:

11.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
7.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
5.0ms
(*.f64 x.re (*.f64 x.im 3))

series171.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
35.0ms
(*.f64 x.re (*.f64 x.im 3))
31.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))

simplify87.0ms (2.3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04908980
14908980

prune83.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New69271
Fresh145
Picked011
Done011
Total70878

Merged error: 0.0b

Counts
78 → 8
Compiler

Compiled 1348 to 969 computations (28.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3206
23×add-sqr-sqrt_binary64_3197
15×*-un-lft-identity_binary64_3175 add-cube-cbrt_binary64_3210
11×pow1_binary64_3236
pow1/3_binary64_3257
swap-sqr_binary64_3142 associate-*l*_binary64_3116 add-exp-log_binary64_3213 associate-*r*_binary64_3115
add-cbrt-cube_binary64_3211 unswap-sqr_binary64_3143 add-log-exp_binary64_3214
pow-prod-down_binary64_3246 pow-sqr_binary64_3148 pow-prod-up_binary64_3245
pow-plus_binary64_3238 prod-exp_binary64_3224 *-commutative_binary64_3106 cbrt-unprod_binary64_3208 pow2_binary64_3256
Counts
4 → 73
Calls

4 calls:

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

series612.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

164.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
160.0ms
(cbrt.f64 x.re)
147.0ms
(cbrt.f64 x.re)
141.0ms
(cbrt.f64 x.re)

simplify61.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04893662
14893662

prune122.0ms (3.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done022
Total84993

Merged error: 0.0b

Counts
93 → 9
Compiler

Compiled 2308 to 1323 computations (42.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3206
23×add-sqr-sqrt_binary64_3197
15×*-un-lft-identity_binary64_3175 add-cube-cbrt_binary64_3210
11×pow1_binary64_3236
pow1/3_binary64_3257
swap-sqr_binary64_3142 associate-*l*_binary64_3116 add-exp-log_binary64_3213 associate-*r*_binary64_3115
add-cbrt-cube_binary64_3211 unswap-sqr_binary64_3143 add-log-exp_binary64_3214
pow-prod-down_binary64_3246 pow-sqr_binary64_3148 pow-prod-up_binary64_3245
pow-plus_binary64_3238 prod-exp_binary64_3224 *-commutative_binary64_3106 cbrt-unprod_binary64_3208 pow2_binary64_3256
Counts
4 → 73
Calls

4 calls:

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

series650.0ms (17.2%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(cbrt.f64 x.re)
162.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
160.0ms
(cbrt.f64 x.re)
157.0ms
(cbrt.f64 x.re)

simplify65.0ms (1.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04893662
14893662

prune94.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done033
Total85994

Merged error: 0.0b

Counts
94 → 9
Compiler

Compiled 1909 to 1032 computations (45.9% saved)

regimes70.0ms (1.9%)

Compiler

Compiled 456 to 336 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample772.0ms (20.4%)

Algorithm
intervals
Results
374.0ms8000×body128valid
25.0ms540×body128invalid
Compiler

Compiled 186 to 136 computations (26.9% saved)

Profiling

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