Details

analyze2.1s (6.5%)

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)

sample142.0ms (0.4%)

Algorithm

1×

intervals

Results

48.0ms	221×	body	128	valid
36.0ms	166×	body	128	invalid
15.0ms	12×	body	1024	valid
7.0ms	10×	body	512	valid
6.0ms	13×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5174	157

prune23.0ms (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)

localize51.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6)
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)
0.0b	(+.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))))
0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.3b	(+.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)))
5.0b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.1b	(.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))

rewrite151.0ms (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:

44.0ms	(+.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)))
22.0ms	(.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))
19.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
0.0ms	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))

series2.5s (7.8%)

Counts

4 → 63

Calls

4 calls:

1.6s	(+.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)))
402.0ms	(.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))
304.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
233.0ms	(.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 10321 to 7039 computations (31.8% saved)

simplify148.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4940	12399
1	4940	12399

prune2.4s (7.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	184	9	193
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	186	9	195

Error

0.4b

Counts

195 → 9

Compiler

Compiled 29001 to 17630 computations (39.2% saved)

localize56.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 (+.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))) (+.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)
0.0b	(+.f64 (.f64 (+.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))) (+.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))))
0.0b	(+.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)))
0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.3b	(+.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)))
5.0b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.1b	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))

rewrite143.0ms (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:

45.0ms	(+.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)))
24.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
19.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
19.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))
0.0ms	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))

series2.5s (7.7%)

Counts

4 → 64

Calls

4 calls:

1.7s	(+.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)))
300.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))))
298.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
249.0ms	(.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 11027 to 7543 computations (31.6% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4913	7825
1	4913	7825

prune1.6s (5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	169	9	178

Error

0.4b

Counts

178 → 9

Compiler

Compiled 25083 to 15195 computations (39.4% saved)

localize50.0ms (0.2%)

Local error

Found 8 expressions with local error:

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 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1))))))) (+.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)
0.0b	(+.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 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1))))))) (+.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))))
0.0b	(/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))
0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
0.2b	(.f64 (.f64 x1 x1) (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (*.f64 x1 x1) 1))))))
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.3b	(+.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 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1)))))))
5.0b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

rewrite154.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`associate-*r/_binary64`
33×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
29×	`*-un-lft-identity_binary64`
24×	`associate-r_binary64`
21×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
20×	`frac-add_binary64`
18×	`pow1_binary64`
16×	`times-frac_binary64`
15×	`flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-sub_binary64`
9×	`pow-prod-down_binary64`
8×	`flip3-+_binary64` `add-log-exp_binary64` `associate-+l+_binary64` `flip-+_binary64` `associate-+r+_binary64` `frac-times_binary64`
7×	`sub-neg_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_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 → 142

Calls

8 calls:

42.0ms	(+.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 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1)))))))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
19.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
18.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (*.f64 x1 x1) 1))))))
0.0ms	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))

series1.4s (4.2%)

Counts

4 → 54

Calls

4 calls:

740.0ms	(+.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 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1)))))))
311.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
247.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
80.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (*.f64 x1 x1) 1))))))

Compiler

Compiled 8218 to 5427 computations (34% saved)

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4940	14515
1	4940	14515

prune2.4s (7.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	195	10	205

Error

0.4b

Counts

205 → 10

Compiler

Compiled 30885 to 18443 computations (40.3% saved)

localize48.0ms (0.1%)

Local error

Found 8 expressions with local error:

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 x1 (.f64 x1 (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1)))))))) (+.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)
0.0b	(+.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 x1 (.f64 x1 (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1)))))))) (+.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))))
0.0b	(/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))
0.0b	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))
0.2b	(.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))
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.3b	(+.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 x1 (.f64 x1 (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1))))))))
5.0b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

rewrite189.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`associate-*r/_binary64`
43×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
39×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
27×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
24×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
23×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
22×	`pow1_binary64`
20×	`frac-add_binary64`
17×	`times-frac_binary64`
16×	`flip3--_binary64` `flip--_binary64` `associate-+r+_binary64`
12×	`pow-prod-down_binary64`
10×	`frac-sub_binary64` `frac-times_binary64`
9×	`sub-neg_binary64`
8×	`add-log-exp_binary64` `associate-+l+_binary64`
7×	`flip3-+_binary64` `difference-of-squares_binary64` `flip-+_binary64`
5×	`cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-*l/_binary64`
2×	`associate-/r/_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 160

Calls

8 calls:

44.0ms	(+.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 x1 (.f64 x1 (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1))))))))
43.0ms	(.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))
21.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
0.0ms	(-.f64 (.f64 (.f64 3 x1) x1) (*.f64 2 x2))

series1.8s (5.5%)

Counts

4 → 59

Calls

4 calls:

751.0ms	(+.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 x1 (.f64 x1 (-.f64 (.f64 12 (/.f64 (.f64 x1 x1) (+.f64 (.f64 x1 x1) 1))) (+.f64 6 (.f64 4 (/.f64 x1 (+.f64 (.f64 x1 x1) 1))))))))
488.0ms	(.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))
306.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
249.0ms	(.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 9511 to 6369 computations (33% saved)

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4946	17356
1	4946	17356

prune2.4s (7.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	220	9	229

Error

0.4b

Counts

229 → 9

Compiler

Compiled 32684 to 19579 computations (40.1% saved)

simplify213.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5184	13647

regimes1.2s (3.7%)

Compiler: Compiled 26932 to 17101 computations (36.5% saved)

bsearch0.0ms (0%)

regimes269.0ms (0.8%)

Compiler: Compiled 5389 to 3388 computations (37.1% saved)

bsearch0.0ms (0%)

regimes180.0ms (0.6%)

Compiler: Compiled 1928 to 1248 computations (35.3% saved)

bsearch335.0ms (1%)

Steps

Iters	Range		Point
9	0.0004641151235109884	6163.337854012068	3.572483115071126
8	7.586039511240234e-145	4.435677564194416e-142	3.961055337262331e-143
7	-4.318987620655732e-138	-2.0712264732581017e-139	-3.0181739639152153e-139
10	-30829993.124775827	-1.4038323442234646e-10	-2.905723572080408

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes155.0ms (0.5%)

Compiler: Compiled 1002 to 671 computations (33% saved)

bsearch328.0ms (1%)

Steps

Iters	Range		Point
9	0.0004641151235109884	6163.337854012068	2.1894534894931774
8	7.586039511240234e-145	4.435677564194416e-142	1.1371847617286735e-144
7	-4.318987620655732e-138	-2.0712264732581017e-139	-2.515948011277505e-138
10	-30829993.124775827	-1.4038323442234646e-10	-1.9463329267783314

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes141.0ms (0.4%)

Compiler: Compiled 777 to 527 computations (32.2% saved)

bsearch335.0ms (1%)

Steps

Iters	Range		Point
9	0.0004641151235109884	6163.337854012068	4.804601780835791
8	7.586039511240234e-145	4.435677564194416e-142	8.159646800035157e-145
7	-4.318987620655732e-138	-2.0712264732581017e-139	-2.6164386648485612e-139
10	-30829993.124775827	-1.4038323442234646e-10	-2.2303517597312443

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes48.0ms (0.1%)

Compiler: Compiled 421 to 292 computations (30.6% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.1%)

Accuracy

Total 0.1b remaining (28.6%)

Threshold costs 0.1b (28.6%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch39.0ms (0.1%)

Compiler: Compiled 1419 to 849 computations (40.2% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	350	2119
1	350	2119

end0.0ms (0%)

sample8.3s (25.6%)

Algorithm

1×

intervals

Results

1.5s	7010×	body	128	valid
1.2s	5732×	body	128	invalid
291.0ms	329×	body	1024	valid
260.0ms	393×	body	512	valid
115.0ms	268×	body	256	valid

Compiler

Compiled 10521 to 6627 computations (37% saved)

Pareto

0.29895536291844615

Details

analyze2.1s (6.5%)

sample142.0ms (0.4%)

simplify147.0ms (0.5%)

prune23.0ms (0.1%)

localize51.0ms (0.2%)

rewrite151.0ms (0.5%)

series2.5s (7.8%)

simplify148.0ms (0.5%)

prune2.4s (7.5%)

localize56.0ms (0.2%)

rewrite143.0ms (0.4%)

series2.5s (7.7%)

simplify105.0ms (0.3%)

prune1.6s (5%)

localize50.0ms (0.2%)

rewrite154.0ms (0.5%)

series1.4s (4.2%)

simplify151.0ms (0.5%)

prune2.4s (7.3%)

localize48.0ms (0.1%)

rewrite189.0ms (0.6%)

series1.8s (5.5%)

simplify190.0ms (0.6%)

prune2.4s (7.3%)

simplify213.0ms (0.7%)

regimes1.2s (3.7%)

bsearch0.0ms (0%)

regimes269.0ms (0.8%)

bsearch0.0ms (0%)

regimes180.0ms (0.6%)

bsearch335.0ms (1%)

regimes155.0ms (0.5%)

bsearch328.0ms (1%)

regimes141.0ms (0.4%)

bsearch335.0ms (1%)

regimes48.0ms (0.1%)

bsearch0.0ms (0%)

regimes18.0ms (0.1%)

bsearch39.0ms (0.1%)

simplify20.0ms (0.1%)

end0.0ms (0%)

sample8.3s (25.6%)

Profiling