Details

Time bar (total: 5.9s)

analyze104.0ms (1.8%)

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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample25.0ms (0.4%)

Algorithm
1×intervals
Results
17.0ms256×body80valid
Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify98.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0498240
1498240

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2
Compiler

Compiled 80 to 61 computations (23.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 v (*.f64 -6 v))
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
0.4b
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

rewrite54.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
34×add-exp-log_binary64 add-cbrt-cube_binary64
20×pow1_binary64
16×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
13×add-sqr-sqrt_binary64
12×associate-*l*_binary64 sqrt-div_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64
8×associate-/r/_binary64 frac-times_binary64
7×flip3--_binary64 flip--_binary64
6×flip3-+_binary64 flip-+_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 sub-neg_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-exp_binary64 insert-posit16 associate-*l/_binary64
3×associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
2×associate-/l/_binary64
1×associate-/r*_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 112
Calls

4 calls:

21.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
17.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
6.0ms
(*.f64 v (*.f64 -6 v))
5.0ms
(*.f64 PI.f64 t)

series590.0ms (9.9%)

Counts
4 → 12
Calls

4 calls:

286.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
239.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
37.0ms
(*.f64 v (*.f64 -6 v))
28.0ms
(*.f64 PI.f64 t)

simplify138.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049653664
149653664

prune242.0ms (4.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1195124
Fresh101
Picked101
Done000
Total1215126

Merged error: 0.0b

Counts
126 → 5
Compiler

Compiled 4466 to 2776 computations (37.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 v (*.f64 v -6))
0.2b
(*.f64 PI.f64 t)
0.5b
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

rewrite50.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
78×times-frac_binary64
50×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64 add-cube-cbrt_binary64
34×add-exp-log_binary64 add-cbrt-cube_binary64
30×sqrt-prod_binary64
27×associate-/l*_binary64
11×pow1_binary64
10×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
8×associate-/r/_binary64
7×associate-/r*_binary64
6×associate-*l*_binary64 sqrt-div_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*r*_binary64 div-inv_binary64 insert-posit16
3×flip3-+_binary64 associate-/l/_binary64 div-sub_binary64 flip-+_binary64
2×flip3--_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
4 → 159
Calls

4 calls:

21.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
10.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
6.0ms
(*.f64 v (*.f64 v -6))
4.0ms
(*.f64 PI.f64 t)

series493.0ms (8.3%)

Counts
4 → 12
Calls

4 calls:

278.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
136.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
45.0ms
(*.f64 v (*.f64 v -6))
34.0ms
(*.f64 PI.f64 t)

simplify152.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049376185
149376185

prune318.0ms (5.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1701171
Fresh044
Picked011
Done000
Total1706176

Merged error: 0b

Counts
176 → 6
Compiler

Compiled 6609 to 4221 computations (36.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
1.0b
(/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

rewrite66.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
79×add-exp-log_binary64
52×add-sqr-sqrt_binary64
49×add-cbrt-cube_binary64
46×times-frac_binary64
40×*-un-lft-identity_binary64
38×add-cube-cbrt_binary64
32×prod-exp_binary64
27×associate-*l*_binary64
25×div-exp_binary64
23×sqrt-prod_binary64
18×cbrt-unprod_binary64
14×cbrt-undiv_binary64
12×associate-*r*_binary64
10×pow1_binary64
8×associate-/r/_binary64
7×associate-/r*_binary64
6×unswap-sqr_binary64 associate-/l*_binary64
5×1-exp_binary64 associate-*r/_binary64 rec-exp_binary64
4×add-log-exp_binary64 div-inv_binary64 insert-posit16 sqrt-div_binary64
3×flip3--_binary64 flip--_binary64 pow-flip_binary64
2×pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64 *-commutative_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 div-sub_binary64 inv-pow_binary64 frac-times_binary64 associate-*l/_binary64
Counts
4 → 171
Calls

4 calls:

31.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
13.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
8.0ms
(/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
4.0ms
(*.f64 PI.f64 t)

series532.0ms (8.9%)

Counts
4 → 12
Calls

4 calls:

288.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
134.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
81.0ms
(/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
29.0ms
(*.f64 PI.f64 t)

simplify123.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049295856
149295856

prune394.0ms (6.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1821183
Fresh134
Picked011
Done011
Total1836189

Merged error: 0b

Counts
189 → 6
Compiler

Compiled 6775 to 4358 computations (35.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
1.0b
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
1.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
1.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

rewrite53.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
92×sqrt-prod_binary64
76×times-frac_binary64
70×add-sqr-sqrt_binary64
60×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×associate-/r*_binary64
10×sqrt-div_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
6×pow1_binary64 rem-sqrt-square_binary64 associate-/l*_binary64
4×flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 div-inv_binary64 insert-posit16 flip-+_binary64
2×pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64
Counts
4 → 166
Calls

4 calls:

13.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
11.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
11.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
10.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))

series679.0ms (11.4%)

Counts
4 → 12
Calls

4 calls:

222.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
212.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
123.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
122.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

simplify106.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051707236

prune682.0ms (11.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh033
Picked011
Done022
Total1786184

Merged error: 0b

Counts
184 → 6
Compiler

Compiled 10536 to 7185 computations (31.8% saved)

regimes64.0ms (1.1%)

Compiler

Compiled 742 to 556 computations (25.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06340
16340

end0.0ms (0%)

sample905.0ms (15.2%)

Algorithm
1×intervals
Results
535.0ms8000×body80valid
1.0ms9×body80nan
0.0ms1×body80invalid
Compiler

Compiled 299 to 224 computations (25.1% saved)

Profiling

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