Details

Time bar (total: 2.8s)

analyze169.0ms (6%)

Algorithm
1×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 (1.1%)

Algorithm
1×intervals
Results
21.0ms256×body128valid
1.0ms12×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05023
15023

prune6.0ms (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 58 to 58 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b
(/.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
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 PI.f64 2/3)

rewrite34.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×times-frac_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64
6×add-log-exp_binary64 pow1_binary64 div-sub_binary64
4×associate-+r-_binary64
3×associate-/r*_binary64 acos-asin_binary64 associate-*r*_binary64 acos-neg_binary64 associate-*l*_binary64 associate-/l*_binary64 distribute-frac-neg_binary64
2×cos-diff_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 cos-sum_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 70
Calls

4 calls:

11.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
8.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
5.0ms
(*.f64 PI.f64 2/3)
4.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series195.0ms (6.9%)

Counts
4 → 10
Calls

4 calls:

131.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
40.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
23.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)

simplify96.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
051851420

prune92.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New79180
Fresh000
Picked011
Done000
Total79281

Merged error: 0.9b

Counts
81 → 2
Compiler

Compiled 1690 to 1040 computations (38.5% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
0.9b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×add-log-exp_binary64 pow1_binary64 acos-asin_binary64 div-sub_binary64
1×cbrt-undiv_binary64 cos-diff_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 36
Calls

2 calls:

4.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series102.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
23.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify138.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
04749641
14749641

prune61.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked011
Done101
Total42244

Merged error: 0b

Counts
44 → 2
Compiler

Compiled 954 to 694 computations (27.3% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
0.0b
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
0.0b
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))

rewrite71.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
276×times-frac_binary64
155×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
144×sqrt-prod_binary64
25×associate-/l*_binary64
12×associate-/r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
9×div-inv_binary64
5×div-sub_binary64
4×cbrt-undiv_binary64 div-exp_binary64
3×add-log-exp_binary64 pow1_binary64 acos-asin_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 cos-diff_binary64
Counts
3 → 224
Calls

3 calls:

17.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
13.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
5.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series303.0ms (10.8%)

Counts
3 → 9
Calls

3 calls:

174.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
81.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
48.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify130.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049476116
149476116

prune337.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2330233
Fresh000
Picked011
Done011
Total2332235

Merged error: 0b

Counts
235 → 2
Compiler

Compiled 5837 to 3912 computations (33% saved)

regimes19.0ms (0.7%)

Compiler

Compiled 60 to 64 computations (-6.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03723
13723

end0.0ms (0%)

sample974.0ms (34.6%)

Algorithm
1×intervals
Results
670.0ms8000×body128valid
44.0ms574×body128nan
Compiler

Compiled 59 to 61 computations (-3.4% saved)

Profiling

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