Details

Time bar (total: 4.3s)

analyze288.0ms (6.7%)

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%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Compiler

Compiled 17 to 17 computations (0% saved)

sample48.0ms (1.1%)

Algorithm
intervals
Results
34.0ms256×body128valid
2.0ms15×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify159.0ms (3.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
05423
15423

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1
Compiler

Compiled 28 to 28 computations (0% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(*.f64 PI.f64 2/3)

rewrite51.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_3169
14×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
times-frac_binary64_3153
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
pow1_binary64_3208 div-sub_binary64_3152 add-log-exp_binary64_3186
associate-+r-_binary64_3081
acos-asin_binary64_3328 distribute-frac-neg_binary64_3110 acos-neg_binary64_3330 associate-*r*_binary64_3087 associate-/r*_binary64_3091 associate-/l*_binary64_3092 associate-*l*_binary64_3088
cos-diff_binary64_3284
*-commutative_binary64_3078 cos-sum_binary64_3281 unswap-sqr_binary64_3115 clear-num_binary64_3146 flip-+_binary64_3121 pow-prod-down_binary64_3218 frac-2neg_binary64_3158 flip3-+_binary64_3150 +-commutative_binary64_3077 prod-exp_binary64_3196 cbrt-undiv_binary64_3181 cbrt-unprod_binary64_3180 div-exp_binary64_3198 div-inv_binary64_3144 sum-log_binary64_3238
Counts
4 → 70
Calls

4 calls:

14.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
13.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
8.0ms
(*.f64 PI.f64 2/3)
7.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series209.0ms (4.9%)

Counts
4 → 10
Calls

4 calls:

142.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
41.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
25.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)

simplify166.0ms (3.9%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
051851420

prune154.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh000
Picked101
Done000
Total79281

Merged error: 1.0b

Counts
81 → 2
Compiler

Compiled 1590 to 940 computations (40.9% saved)

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_3153 *-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 associate-/r*_binary64_3091 associate-/l*_binary64_3092
acos-asin_binary64_3328 clear-num_binary64_3146 frac-2neg_binary64_3158 pow1_binary64_3208 div-sub_binary64_3152 cbrt-undiv_binary64_3181 div-exp_binary64_3198 add-log-exp_binary64_3186 div-inv_binary64_3144
Counts
1 → 28
Calls

1 calls:

6.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

series21.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

21.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify240.0ms (5.6%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (224.0ms)

IterNodesCost
04673468
14673468

prune60.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh101
Picked011
Done000
Total31233

Merged error: 0b

Counts
33 → 2
Compiler

Compiled 573 to 373 computations (34.9% saved)

localize27.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×times-frac_binary64_3153
16×*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
12×cbrt-prod_binary64_3178
associate-/r*_binary64_3091
add-exp-log_binary64_3185 associate-/l*_binary64_3092
add-cbrt-cube_binary64_3183
acos-asin_binary64_3328 clear-num_binary64_3146 frac-2neg_binary64_3158 pow1_binary64_3208 div-sub_binary64_3152 cbrt-undiv_binary64_3181 div-exp_binary64_3198 add-log-exp_binary64_3186 div-inv_binary64_3144
Counts
1 → 40
Calls

1 calls:

11.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

series49.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify212.0ms (4.9%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (187.0ms)

IterNodesCost
04548875
14548875

prune117.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done011
Total43245

Merged error: 0b

Counts
45 → 2
Compiler

Compiled 1233 to 931 computations (24.5% saved)

regimes411.0ms (9.6%)

Compiler

Compiled 2008 to 1860 computations (7.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04131
14131

end0.0ms (0%)

sample2.0s (46.6%)

Algorithm
intervals
Results
1.2s8000×body128valid
68.0ms558×body128nan
Compiler

Compiled 202 to 192 computations (5% saved)

Profiling

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