Details

Time bar (total: 17.3s)

analyze2.1s (12%)

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%74.9%0.1%5
25%74.9%0.1%6
31.2%68.7%0.1%7
34.3%65.6%0.1%8
37.5%59.3%3.2%9
42.9%53.5%3.6%10
44.5%50%5.6%11
47.8%45.8%6.4%12
48.7%43.7%7.6%13
50.5%41.3%8.2%14
Compiler

Compiled 128 to 81 computations (36.7% saved)

sample141.0ms (0.8%)

Algorithm
intervals
Results
50.0ms222×body128valid
47.0ms202×body128invalid
12.0ms13×body1024valid
11.0ms16×body512valid
2.0msbody256valid
Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify143.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05174157

prune14.0ms (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 337 to 210 computations (37.7% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x1 x1) -6)
0.3b
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4)))
2.8b
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6))
2.9b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)

rewrite145.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
22×associate-*l*_binary64
17×times-frac_binary64
16×add-cube-cbrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
add-log-exp_binary64
associate-*r*_binary64
cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out--_binary64 flip-+_binary64
cancel-sign-sub-inv_binary64 unswap-sqr_binary64
associate-*r/_binary64 associate-+l+_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64 frac-times_binary64 *-commutative_binary64
sub-neg_binary64 flip3--_binary64 associate--l-_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 associate-*l/_binary64 sum-log_binary64
Counts
4 → 96
Calls

4 calls:

47.0ms
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6))
43.0ms
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4)))
22.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
6.0ms
(*.f64 (*.f64 x1 x1) -6)

series421.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

223.0ms
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6))
112.0ms
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4)))
69.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
17.0ms
(*.f64 (*.f64 x1 x1) -6)

simplify113.0ms (0.7%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049245732
149245732

prune705.0ms (4.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1017108
Fresh011
Picked101
Done000
Total1028110

Merged error: 0.3b

Counts
110 → 8
Compiler

Compiled 13835 to 8435 computations (39% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b
(+.f64 (*.f64 (*.f64 (*.f64 2 x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6)))
2.9b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
6.6b
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
6.7b
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

rewrite156.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
29×*-un-lft-identity_binary64
24×associate-*r*_binary64
23×associate-*r/_binary64
21×add-cube-cbrt_binary64 cancel-sign-sub-inv_binary64
18×pow1_binary64
16×times-frac_binary64
15×cbrt-unprod_binary64 prod-exp_binary64
12×distribute-lft-in_binary64 distribute-rgt-in_binary64
11×flip3--_binary64 flip--_binary64
10×frac-add_binary64
pow-prod-down_binary64
add-log-exp_binary64 associate-+l+_binary64 associate-+r+_binary64
sub-neg_binary64
difference-of-squares_binary64
distribute-lft-out--_binary64 frac-times_binary64
cbrt-undiv_binary64 div-exp_binary64
flip3-+_binary64 associate-/r/_binary64 associate-*l*_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
associate--l-_binary64 diff-log_binary64 unswap-sqr_binary64 div-sub_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 130
Calls

4 calls:

43.0ms
(+.f64 (*.f64 (*.f64 (*.f64 2 x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6)))
23.0ms
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
20.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
20.0ms
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

series374.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

237.0ms
(+.f64 (*.f64 (*.f64 (*.f64 2 x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6)))
53.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
48.0ms
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
35.0ms
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

simplify107.0ms (0.6%)

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0506210002

prune1.2s (7.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh167
Picked101
Done000
Total1428150

Merged error: 0.3b

Counts
150 → 8
Compiler

Compiled 22422 to 13680 computations (39% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b
(cbrt.f64 -6)
1.0b
(cbrt.f64 -6)
2.9b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
8.6b
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 (*.f64 x1 x1) (*.f64 (cbrt.f64 -6) (cbrt.f64 -6))) (cbrt.f64 -6)))

rewrite84.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
cbrt-prod_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cancel-sign-sub-inv_binary64
pow1/3_binary64 associate-+l+_binary64 difference-of-squares_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 associate--l-_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 distribute-lft-out--_binary64 times-frac_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 53
Calls

4 calls:

44.0ms
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 (*.f64 x1 x1) (*.f64 (cbrt.f64 -6) (cbrt.f64 -6))) (cbrt.f64 -6)))
21.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
1.0ms
(cbrt.f64 -6)
1.0ms
(cbrt.f64 -6)

series305.0ms (1.8%)

Counts
4 → 8
Calls

4 calls:

256.0ms
(+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 (*.f64 x1 x1) (*.f64 (cbrt.f64 -6) (cbrt.f64 -6))) (cbrt.f64 -6)))
49.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
0.0ms
(cbrt.f64 -6)
0.0ms
(cbrt.f64 -6)

simplify64.0ms (0.4%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049452132
149452132

prune350.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh077
Picked011
Done000
Total61869

Merged error: 0.3b

Counts
69 → 8
Compiler

Compiled 8361 to 5192 computations (37.9% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
2.9b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
6.6b
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
6.7b
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

rewrite126.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
28×*-un-lft-identity_binary64
24×associate-*r*_binary64
18×pow1_binary64 add-cube-cbrt_binary64
17×times-frac_binary64
15×cbrt-unprod_binary64 prod-exp_binary64
12×cancel-sign-sub-inv_binary64
pow-prod-down_binary64
add-log-exp_binary64
difference-of-squares_binary64
distribute-lft-out--_binary64
sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
flip3--_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64 flip--_binary64
associate--l-_binary64 diff-log_binary64 associate-/r/_binary64 associate-*l*_binary64 div-sub_binary64 *-commutative_binary64
flip3-+_binary64 unswap-sqr_binary64 div-inv_binary64 flip-+_binary64
Counts
4 → 111
Calls

4 calls:

23.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
21.0ms
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
21.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
20.0ms
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

series184.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
48.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3)) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)
48.0ms
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
39.0ms
(*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052554278

prune1.4s (8.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1212123
Fresh156
Picked011
Done011
Total1229131

Merged error: 0.3b

Counts
131 → 9
Compiler

Compiled 22080 to 13726 computations (37.8% saved)

regimes1.4s (8%)

Compiler

Compiled 30856 to 19836 computations (35.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0100157
1100157

end0.0ms (0%)

sample7.5s (43.3%)

Algorithm
intervals
Results
1.5s7053×body128valid
1.3s5819×body128invalid
277.0ms312×body1024valid
255.0ms391×body512valid
104.0ms243×body256valid
1.0msbody2048valid
Compiler

Compiled 7881 to 5064 computations (35.7% saved)

Profiling

Loading profile data...