Details

Time bar (total: 2.2s)

analyze172.0ms (7.8%)

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)

sample28.0ms (1.2%)

Algorithm
1×intervals
Results
19.0ms256×body80valid
1.0ms15×body80nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify16.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
05423
15423

prune5.0ms (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)

localize17.0ms (0.8%)

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)

rewrite25.0ms (1.1%)

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:

8.0ms
(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)

series25.0ms (1.1%)

Counts
4 → 10
Calls

4 calls:

15.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)

simplify109.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049121420
149121420

prune63.0ms (2.9%)

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 1579 to 928 computations (41.2% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite7.0ms (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))

series13.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
3.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify171.0ms (7.7%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
04979641
14979641

prune40.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked011
Done101
Total42244

Merged error: 0b

Counts
44 → 2
Compiler

Compiled 755 to 495 computations (34.4% saved)

localize11.0ms (0.5%)

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

rewrite41.0ms (1.9%)

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:

13.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
10.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
5.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series37.0ms (1.7%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
11.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
6.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify148.0ms (6.7%)

Algorithm
1×egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
048506116
148506116

prune241.0ms (10.9%)

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 3913 computations (33% saved)

regimes42.0ms (1.9%)

Compiler

Compiled 60 to 64 computations (-6.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03723
13723

end0.0ms (0%)

sample995.0ms (44.9%)

Algorithm
1×intervals
Results
599.0ms8000×body80valid
37.0ms562×body80nan
Compiler

Compiled 59 to 61 computations (-3.4% saved)

Profiling

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