Details

analyze2.3s (5%)

Algorithm

1×

Search

True	Other	False	Iter
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)

sample178.0ms (0.4%)

Algorithm

1×

intervals

Results

68.0ms	227×	body	128	valid
51.0ms	179×	body	128	invalid
10.0ms	8×	body	1024	valid
7.0ms	10×	body	512	valid
6.0ms	11×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify189.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5174	157

prune38.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.5b

Counts

2 → 2

Compiler

Compiled 337 to 210 computations (37.7% saved)

localize59.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2))
0.2b	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))
0.2b	(.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)))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.7b	(+.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))

rewrite166.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
24×	`-un-lft-identity_binary64` `associate-l*_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`cbrt-undiv_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

8 calls:

47.0ms	(.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)))
43.0ms	(+.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))
20.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
16.0ms	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))
0.0ms	(-.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2))

series3.8s (8.4%)

Counts

4 → 72

Calls

4 calls:

1.9s	(+.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))
1.2s	(.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)))
428.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
277.0ms	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))

Compiler

Compiled 10416 to 7339 computations (29.5% saved)

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4934	10297
1	4934	10297

prune1.8s (3.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	160	10	170
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	161	11	172

Error

0.3b

Counts

172 → 11

Compiler

Compiled 21403 to 12683 computations (40.7% saved)

localize65.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2))
0.2b	(.f64 x1 (.f64 x1 3))
0.2b	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.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) 1))) (.f64 (.f64 x1 x1) -6))

rewrite127.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `associate-l_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`associate-r_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 68

Calls

8 calls:

47.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.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) 1))) (.f64 (.f64 x1 x1) -6))
28.0ms	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))
25.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.0ms	(.f64 x1 (.f64 x1 3))
0.0ms	(-.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2))

series2.8s (6.1%)

Counts

4 → 55

Calls

4 calls:

2.0s	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.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) 1))) (.f64 (.f64 x1 x1) -6))
376.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
333.0ms	(.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))))
36.0ms	(.f64 x1 (.f64 x1 3))

Compiler

Compiled 7752 to 5312 computations (31.5% saved)

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4964	5114
1	4964	5114

prune944.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	123	11	134

Error

0.3b

Counts

134 → 11

Compiler

Compiled 15187 to 8970 computations (40.9% saved)

localize52.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2)) x1)
0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 (+.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))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (*.f64 x1 x1) x1)) x1)
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.6b	(+.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)))
5.5b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.5b	(.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))

rewrite212.0ms (0.5%)

Algorithm

1×	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`
9×	`pow-prod-down_binary64`
8×	`add-log-exp_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
7×	`sub-neg_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `associate-l_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate--l-_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 130

Calls

8 calls:

66.0ms	(+.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)))
37.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
31.0ms	(.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 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
0.0ms	(+.f64 (+.f64 (+.f64 (.f64 (+.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))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (*.f64 x1 x1) x1)) x1)

series3.1s (6.8%)

Counts

4 → 69

Calls

4 calls:

1.9s	(+.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)))
442.0ms	(.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))
363.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
362.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

Compiler

Compiled 10855 to 7393 computations (31.9% saved)

simplify177.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4923	12630
1	4923	12630

prune2.5s (5.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	200	10	210

Error

0.3b

Counts

210 → 10

Compiler

Compiled 29681 to 18014 computations (39.3% saved)

localize75.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
0.0b	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.7b	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
5.5b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.5b	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))

rewrite171.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
25×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
22×	`-un-lft-identity_binary64` `associate-r*_binary64`
16×	`times-frac_binary64`
14×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
4×	`distribute-lft-out--_binary64`
3×	`associate-*r/_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64` `associate-l_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `associate-+l+_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `unsub-neg_binary64`

Counts

4 → 105

Calls

8 calls:

54.0ms	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
30.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))
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)))
0.0ms	(-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1)

series3.2s (7.2%)

Counts

4 → 70

Calls

4 calls:

2.1s	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
380.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
379.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
377.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))

Compiler

Compiled 11597 to 7921 computations (31.7% saved)

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	7990
1	4955	7990

prune1.9s (4.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	175	10	185

Error

0.3b

Counts

185 → 10

Compiler

Compiled 24562 to 14835 computations (39.6% saved)

simplify273.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5040	12852

regimes1.4s (3.2%)

Accuracy

Total 0.1b remaining (28.4%)

Threshold costs 0.1b (28.4%)

Compiler

Compiled 25330 to 16015 computations (36.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	157
1	99	157

end1.0ms (0%)

sample19.6s (43.1%)

Algorithm

1×

intervals

Results

1.9s	7118×	body	128	valid
1.5s	5755×	body	128	invalid
316.0ms	373×	body	512	valid
297.0ms	268×	body	1024	valid
131.0ms	241×	body	256	valid

Compiler

Compiled 25448 to 16082 computations (36.8% saved)

Pareto

0.44418909559190894

Details

analyze2.3s (5%)

sample178.0ms (0.4%)

simplify189.0ms (0.4%)

prune38.0ms (0.1%)

localize59.0ms (0.1%)

rewrite166.0ms (0.4%)

series3.8s (8.4%)

simplify127.0ms (0.3%)

prune1.8s (3.9%)

localize65.0ms (0.1%)

rewrite127.0ms (0.3%)

series2.8s (6.1%)

simplify80.0ms (0.2%)

prune944.0ms (2.1%)

localize52.0ms (0.1%)

rewrite212.0ms (0.5%)

series3.1s (6.8%)

simplify177.0ms (0.4%)

prune2.5s (5.5%)

localize75.0ms (0.2%)

rewrite171.0ms (0.4%)

series3.2s (7.2%)

simplify125.0ms (0.3%)

prune1.9s (4.2%)

simplify273.0ms (0.6%)

regimes1.4s (3.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end1.0ms (0%)

sample19.6s (43.1%)

Profiling