Details

Time bar (total: 2.4s)

analyze169.0ms (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)

sample30.0ms (1.2%)

Algorithm
intervals
Results
20.0ms256×body128valid
1.0ms15×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify105.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
05423
15423

prune4.0ms (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)

localize11.0ms (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)

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_2146
14×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
times-frac_binary64_2130
add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
pow1_binary64_2185 add-log-exp_binary64_2163 div-sub_binary64_2129
associate-+r-_binary64_2058
acos-neg_binary64_2307 associate-/l*_binary64_2069 acos-asin_binary64_2305 associate-/r*_binary64_2068 associate-*l*_binary64_2065 associate-*r*_binary64_2064 distribute-frac-neg_binary64_2087
cos-diff_binary64_2261
pow-prod-down_binary64_2195 clear-num_binary64_2123 cbrt-undiv_binary64_2158 unswap-sqr_binary64_2092 sum-log_binary64_2215 *-commutative_binary64_2055 prod-exp_binary64_2173 +-commutative_binary64_2054 cos-sum_binary64_2258 flip3-+_binary64_2127 flip-+_binary64_2098 div-inv_binary64_2121 div-exp_binary64_2175 cbrt-unprod_binary64_2157 frac-2neg_binary64_2135
Counts
4 → 70
Calls

4 calls:

7.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms
(*.f64 PI.f64 2/3)
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series115.0ms (4.8%)

Counts
4 → 10
Calls

4 calls:

74.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
26.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
15.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)

simplify94.0ms (3.9%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
051851420

prune84.0ms (3.5%)

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)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 times-frac_binary64_2130 *-un-lft-identity_binary64_2124
associate-/l*_binary64_2069 associate-/r*_binary64_2068 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
clear-num_binary64_2123 cbrt-undiv_binary64_2158 acos-asin_binary64_2305 pow1_binary64_2185 add-log-exp_binary64_2163 div-sub_binary64_2129 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
1 → 28
Calls

1 calls:

3.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

series13.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

13.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify140.0ms (5.8%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
04673468
14673468

prune32.0ms (1.3%)

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)

localize17.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×times-frac_binary64_2130
16×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
12×cbrt-prod_binary64_2155
associate-/r*_binary64_2068
associate-/l*_binary64_2069 add-exp-log_binary64_2162
add-cbrt-cube_binary64_2160
clear-num_binary64_2123 cbrt-undiv_binary64_2158 acos-asin_binary64_2305 pow1_binary64_2185 add-log-exp_binary64_2163 div-sub_binary64_2129 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
1 → 40
Calls

1 calls:

4.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

series27.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify124.0ms (5.2%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
04548875
14548875

prune64.0ms (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)

regimes216.0ms (9%)

Compiler

Compiled 2008 to 1860 computations (7.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04131
14131

end0.0ms (0%)

sample1.1s (46%)

Algorithm
intervals
Results
657.0ms8000×body128valid
37.0ms558×body128nan
Compiler

Compiled 202 to 192 computations (5% saved)

Profiling

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