Details

Time bar (total: 4.5s)

analyze1.0s (22.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
3.5%96.2%0.2%10
9.8%89.9%0.2%11
14.1%85.7%0.2%12
22.6%77.1%0.2%13
23.7%76%0.2%14

sample45.0ms (1%)

Algorithm
intervals
Results
12.0ms212×body80valid
4.0ms17×body640valid
2.0ms14×body320valid
2.0msbody1280valid
2.0ms30×body80invalid
1.0msbody160valid
1.0msbody2560valid

simplify116.0ms (2.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0489313
1489313

prune12.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.8b

Counts
2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 z t) y)
1.8b
(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.3b
(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 pow1_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 times-frac_binary64
flip3--_binary64 difference-of-squares_binary64 flip--_binary64 associate-*l/_binary64
associate-*r*_binary64
associate-/l/_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 frac-sub_binary64
pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip-+_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 69
Calls

3 calls:

11.0ms
(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.0ms
(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
7.0ms
(*.f64 (-.f64 z t) y)

series72.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

44.0ms
(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
19.0ms
(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
9.0ms
(*.f64 (-.f64 z t) y)

simplify41.0ms (0.9%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04992863
14992863

prune149.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New661278
Fresh000
Picked101
Done000
Total671279

Merged error: 2.9b

Counts
79 → 12

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a t))
0.6b
(cbrt.f64 (-.f64 a t))
3.8b
(*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
8.2b
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

rewrite49.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
36×times-frac_binary64
35×*-un-lft-identity_binary64
30×associate-*r*_binary64
27×cbrt-prod_binary64
25×add-exp-log_binary64
23×add-cube-cbrt_binary64
18×cbrt-div_binary64 add-cbrt-cube_binary64
17×associate-*l*_binary64
10×flip3--_binary64 associate-/r/_binary64 flip--_binary64
add-log-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
pow1_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 frac-sub_binary64
associate-*r/_binary64 associate-*l/_binary64
flip3-+_binary64 flip-+_binary64
diff-log_binary64 pow1/3_binary64 div-inv_binary64
pow-prod-down_binary64 sub-neg_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 126
Calls

4 calls:

29.0ms
(*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
7.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
3.0ms
(cbrt.f64 (-.f64 a t))
3.0ms
(cbrt.f64 (-.f64 a t))

series132.0ms (3%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
30.0ms
(cbrt.f64 (-.f64 a t))
28.0ms
(*.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
28.0ms
(cbrt.f64 (-.f64 a t))

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
057042301

prune181.0ms (4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh5611
Picked101
Done000
Total13911150

Merged error: 2.9b

Counts
150 → 11

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a t))
0.6b
(cbrt.f64 (-.f64 a t))
2.0b
(*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t)))))
8.4b
(-.f64 (+.f64 x y) (*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t))))))

rewrite100.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
160×times-frac_binary64
134×add-sqr-sqrt_binary64
89×cbrt-prod_binary64
80×associate-*l*_binary64
76×cbrt-div_binary64
71×*-un-lft-identity_binary64
53×add-cube-cbrt_binary64
42×associate-/r/_binary64
39×associate-*r*_binary64
36×add-exp-log_binary64
34×flip3--_binary64 flip--_binary64
23×frac-times_binary64
22×add-cbrt-cube_binary64
20×unswap-sqr_binary64
14×cbrt-undiv_binary64 div-exp_binary64
13×associate-*r/_binary64 associate-*l/_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64 div-inv_binary64 frac-sub_binary64
flip3-+_binary64 flip-+_binary64
diff-log_binary64 pow1/3_binary64
pow-prod-down_binary64 sub-neg_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 216
Calls

4 calls:

72.0ms
(*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t)))))
7.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t))))))
3.0ms
(cbrt.f64 (-.f64 a t))
3.0ms
(cbrt.f64 (-.f64 a t))

series134.0ms (3%)

Counts
4 → 12
Calls

4 calls:

48.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t))))))
29.0ms
(cbrt.f64 (-.f64 a t))
29.0ms
(*.f64 (/.f64 (/.f64 (-.f64 z t) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 y (cbrt.f64 (cbrt.f64 (-.f64 a t)))))
28.0ms
(cbrt.f64 (-.f64 a t))

simplify74.0ms (1.7%)

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049926212
149926212

prune295.0ms (6.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2271228
Fresh1910
Picked011
Done000
Total22811239

Merged error: 2.9b

Counts
239 → 11

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a t))
0.9b
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4)
1.5b
(*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))))
9.2b
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))))))

rewrite73.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
84×cbrt-prod_binary64
73×add-exp-log_binary64
60×add-sqr-sqrt_binary64
51×times-frac_binary64
48×associate-*r*_binary64
46×*-un-lft-identity_binary64
44×cbrt-div_binary64
36×add-cube-cbrt_binary64
34×prod-exp_binary64
28×add-cbrt-cube_binary64
22×div-exp_binary64
17×associate-*l*_binary64
14×cbrt-unprod_binary64
13×associate-*l/_binary64
10×cbrt-undiv_binary64 associate-/r/_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
pow1_binary64 frac-times_binary64
frac-sub_binary64
pow-to-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 pow-exp_binary64
unpow-prod-down_binary64
flip3-+_binary64 pow-unpow_binary64 flip-+_binary64
diff-log_binary64 pow1/3_binary64 pow-pow_binary64 div-inv_binary64
pow-prod-down_binary64 sub-neg_binary64 sqr-pow_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 159
Calls

4 calls:

48.0ms
(*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))))
8.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))))))
5.0ms
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4)
3.0ms
(cbrt.f64 (-.f64 a t))

series177.0ms (4%)

Counts
4 → 12
Calls

4 calls:

68.0ms
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4)
49.0ms
(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))))))
31.0ms
(*.f64 (/.f64 (-.f64 z t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) 4))) (/.f64 y (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 a t))))))
29.0ms
(cbrt.f64 (-.f64 a t))

simplify66.0ms (1.5%)

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049915183
149915183

prune205.0ms (4.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1701171
Fresh099
Picked101
Done011
Total17111182

Merged error: 2.9b

Counts
182 → 11

regimes551.0ms (12.3%)

Accuracy

Total 6.4b remaining (64.3%)

Threshold costs 0b (0%)

bsearch84.0ms (1.9%)

Steps
ItersRangePoint
7
7.792565752535892e+75
9.93190089192877e+77
6.426053483705132e+76
9
-6.546600610199293e+42
-5.1834039724105775e+36
-6.436488181590957e+42
7
-1.9836451922868956e+83
-1.4304905568371408e+81
-2.5969526405097103e+82
9
-1.2369412991176976e+230
-3.9047884279804977e+222
-6.671541700787339e+222

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
036698
136698

end0.0ms (0%)

sample757.0ms (16.9%)

Algorithm
intervals
Results
283.0ms6686×body80valid
69.0ms447×body640valid
45.0ms245×body1280valid
40.0ms357×body320valid
29.0ms744×body80invalid
19.0ms251×body160valid
3.0ms14×body2560valid

Profiling

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