Details

analyze1.9s (8.7%)

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)

sample129.0ms (0.6%)

Algorithm

1×

intervals

Results

50.0ms	229×	body	128	valid
40.0ms	200×	body	128	invalid
8.0ms	13×	body	512	valid
5.0ms	6×	body	1024	valid
3.0ms	8×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5174	157

prune14.0ms (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)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.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)) x1)))
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)))
2.6b	(-.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))

rewrite221.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`flip3-+_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
23×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-*l/_binary64`
6×	`pow1_binary64`
5×	`difference-of-squares_binary64`
4×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64`
3×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

69.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.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)) x1)))
42.0ms	(+.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))
41.0ms	(.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)))
24.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series824.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

430.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.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)) x1)))
232.0ms	(+.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))
110.0ms	(.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)))
51.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5401	23744

prune1.5s (6.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	117	13	130

Error

0.0b

Counts

130 → 13

Compiler

Compiled 25536 to 15111 computations (40.8% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.7b	(+.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)))
5.3b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.4b	(.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))

rewrite146.0ms (0.7%)

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

4 calls:

40.0ms	(+.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 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
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))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series368.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(+.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)))
50.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
47.0ms	(.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))
38.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	10002

prune1.3s (6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	142	13	155

Error

0.0b

Counts

155 → 13

Compiler

Compiled 23583 to 14346 computations (39.2% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.5b	(+.f64 (.f64 (.f64 (cbrt.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)))) (cbrt.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))))) (cbrt.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))
10.3b	(cbrt.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))))
10.3b	(cbrt.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))))
10.3b	(cbrt.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))))

rewrite186.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-div_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `frac-times_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 53

Calls

4 calls:

46.0ms	(+.f64 (.f64 (.f64 (cbrt.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)))) (cbrt.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))))) (cbrt.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))
41.0ms	(cbrt.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))))
37.0ms	(cbrt.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))))
37.0ms	(cbrt.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))))

series733.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(+.f64 (.f64 (.f64 (cbrt.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)))) (cbrt.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))))) (cbrt.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))
162.0ms	(cbrt.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))))
156.0ms	(cbrt.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))))
156.0ms	(cbrt.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))))

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5809	5526

prune755.0ms (3.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	65	13	78

Error

0.0b

Counts

78 → 13

Compiler

Compiled 14970 to 9163 computations (38.8% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
2.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
2.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
7.5b	(+.f64 (.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 (cbrt.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))) (cbrt.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))))) (cbrt.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) -6))

rewrite188.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 65

Calls

4 calls:

103.0ms	(+.f64 (.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 (cbrt.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))) (cbrt.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))))) (cbrt.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) -6))
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series394.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

253.0ms	(+.f64 (.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 (cbrt.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))) (cbrt.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))))) (cbrt.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) -6))
48.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
47.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
46.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4939	3225
1	4939	3225

prune670.0ms (3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	77	13	90

Error

0.0b

Counts

90 → 13

Compiler

Compiled 13060 to 7741 computations (40.7% saved)

regimes2.4s (10.8%)

Accuracy

Total 0.5b remaining (88.7%)

Threshold costs 0.5b (88.7%)

Compiler

Compiled 60404 to 36888 computations (38.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	107	172
1	107	172

end0.0ms (0%)

sample9.7s (43.5%)

Algorithm

1×

intervals

Results

1.4s	7033×	body	128	valid
1.2s	5785×	body	128	invalid
270.0ms	330×	body	1024	valid
226.0ms	372×	body	512	valid
106.0ms	265×	body	256	valid

Compiler

Compiled 15278 to 9330 computations (38.9% saved)

Details

analyze1.9s (8.7%)

sample129.0ms (0.6%)

simplify145.0ms (0.7%)

prune14.0ms (0.1%)

localize44.0ms (0.2%)

rewrite221.0ms (1%)

series824.0ms (3.7%)

simplify177.0ms (0.8%)

prune1.5s (6.9%)

localize35.0ms (0.2%)

rewrite146.0ms (0.7%)

series368.0ms (1.6%)

simplify112.0ms (0.5%)

prune1.3s (6%)

localize47.0ms (0.2%)

rewrite186.0ms (0.8%)

series733.0ms (3.3%)

simplify76.0ms (0.3%)

prune755.0ms (3.4%)

localize45.0ms (0.2%)

rewrite188.0ms (0.8%)

series394.0ms (1.8%)

simplify91.0ms (0.4%)

prune670.0ms (3%)

regimes2.4s (10.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.7s (43.5%)

Profiling