Details

Time bar (total: 11.0s)

analyze1.9s

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

sample132.0ms

Algorithm
intervals
Results
51.0ms230×body80valid
44.0ms188×body80invalid
9.0ms10×body640valid
5.0ms7×body320valid
3.0ms7×body160valid
2.0ms2×body1280valid

simplify472.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05054109

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 2

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1))))
2.6b
(-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1)))) (*.f64 6.0 (*.f64 x1 x1)))
4.2b
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
5.1b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
22×associate-*l*_binary64
17×times-frac_binary64
15×add-cube-cbrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
8×add-log-exp_binary64
6×associate-*r*_binary64
5×cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64
4×pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 distribute-lft-out--_binary64 flip-+_binary64
3×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64
2×sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-/r/_binary64 flip--_binary64 frac-times_binary64 associate--l+_binary64 *-commutative_binary64
1×associate--l-_binary64 cbrt-undiv_binary64 div-sub_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64
Counts
4 → 97
Calls
4 calls:
41.0ms
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1))))
45.0ms
(-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1)))) (*.f64 6.0 (*.f64 x1 x1)))
21.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
22.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

series177.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1))))
87.0ms
(-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1)))) (*.f64 6.0 (*.f64 x1 x1)))
22.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
28.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050344426

prune546.0ms

Filtered
86 candidates to 109 candidates (-26.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9811109
Fresh101
Picked101
Done000
Total10011111

Merged error: 0.4b

Counts
111 → 11

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
2.6b
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
4.2b
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
5.1b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
39×associate-*r*_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
21×add-exp-log_binary64 add-cbrt-cube_binary64
15×sqrt-prod_binary64
14×pow1_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
8×add-log-exp_binary64 difference-of-squares_binary64
7×associate-*r/_binary64 distribute-lft-out--_binary64
6×pow-prod-down_binary64
4×flip3-+_binary64 flip-+_binary64
2×sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 associate-/r/_binary64 associate-*l*_binary64 div-exp_binary64 flip--_binary64 frac-times_binary64 sqrt-div_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate--l-_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 div-sub_binary64 div-inv_binary64
Counts
4 → 109
Calls
4 calls:
43.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
55.0ms
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
20.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
20.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

series165.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
83.0ms
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
21.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
18.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

simplify81.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049785089
149785089

prune517.0ms

Filtered
82 candidates to 121 candidates (-47.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh01010
Picked011
Done000
Total12111132

Merged error: 0.4b

Counts
132 → 11

localize45.0ms

Local error

Found 4 expressions with local error:

5.1b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)
9.6b
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
9.6b
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
9.6b
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 cbrt-prod_binary64
7×add-cube-cbrt_binary64
6×cbrt-div_binary64 add-log-exp_binary64
4×pow1_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64
3×pow1/3_binary64
2×difference-of-squares_binary64
1×sub-neg_binary64 associate--l-_binary64 diff-log_binary64 div-sub_binary64 distribute-lft-out--_binary64 times-frac_binary64
Counts
4 → 54
Calls
4 calls:
20.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)
42.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
40.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
39.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)
122.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
121.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
124.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
053143748

prune739.0ms

Filtered
63 candidates to 66 candidates (-4.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh099
Picked011
Done011
Total651277

Merged error: 0.4b

Counts
77 → 12

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
2.6b
(-.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
4.2b
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
5.1b
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
39×associate-*r*_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
21×add-exp-log_binary64
19×add-cbrt-cube_binary64
15×cbrt-prod_binary64
14×pow1_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
8×add-log-exp_binary64 difference-of-squares_binary64
7×associate-*r/_binary64 distribute-lft-out--_binary64
6×pow-prod-down_binary64
4×flip3-+_binary64 flip-+_binary64
2×cbrt-div_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 associate-/r/_binary64 associate-*l*_binary64 div-exp_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate--l-_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 div-sub_binary64 div-inv_binary64
Counts
4 → 109
Calls
4 calls:
46.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
62.0ms
(-.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
22.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
20.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

series183.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
85.0ms
(-.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
21.0ms
(*.f64 (*.f64 x1 x1) (+.f64 (*.f64 3.0 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0))) x1))
18.0ms
(-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049905266
149905266

prune566.0ms

Filtered
89 candidates to 121 candidates (-36.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh099
Picked011
Done022
Total12112133

Merged error: 0.4b

Counts
133 → 12

regimes328.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0131117
1131117

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.5s6927×body80valid
1.2s5758×body80invalid
378.0ms434×body640valid
196.0ms308×body320valid
192.0ms171×body1280valid
69.0ms160×body160valid

Profiling

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