Details

analyze33.0ms (0.9%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify175.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

2 calls:

10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series96.0ms (2.6%)

Counts

1 → 21

Calls

1 calls:

96.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 321 to 297 computations (7.5% saved)

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4984	1063
1	4984	1063

prune66.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Error

Counts

67 → 5

Compiler

Compiled 934 to 279 computations (70.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 n f) (+.f64 f n))
0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series173.0ms (4.7%)

Counts

2 → 42

Calls

2 calls:

89.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
84.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

Compiler

Compiled 681 to 633 computations (7% saved)

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5554	4255

prune146.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	216	5	221

Error

Counts

221 → 5

Compiler

Compiled 3522 to 1013 computations (71.2% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.0b	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
0.0b	(/.f64 n (+.f64 n f))
0.0b	(/.f64 n (+.f64 n f))
0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
0.0b	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))

rewrite80.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

186×	`*-un-lft-identity_binary64`
155×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
35×	`distribute-lft-out--_binary64`
28×	`associate-/r/_binary64`
27×	`distribute-lft-out_binary64`
21×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`div-inv_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`div-exp_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

3 → 169

Calls

6 calls:

27.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
25.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
5.0ms	(/.f64 n (+.f64 n f))
0.0ms	(/.f64 n (+.f64 n f))
0.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))

series292.0ms (7.8%)

Counts

3 → 63

Calls

3 calls:

116.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
99.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
77.0ms	(/.f64 n (+.f64 n f))

Compiler

Compiled 1173 to 1005 computations (14.3% saved)

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5000	4180

prune169.0ms (4.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	232	5	237

Error

Counts

237 → 5

Compiler

Compiled 4133 to 1303 computations (68.5% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite107.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

321×	`*-un-lft-identity_binary64`
190×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
160×	`cbrt-prod_binary64`
89×	`add-cube-cbrt_binary64`
56×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
47×	`distribute-lft-out--_binary64`
35×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
15×	`associate-/r*_binary64`
14×	`associate-/r/_binary64`
12×	`add-exp-log_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l/_binary64` `pow1/3_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 274

Calls

8 calls:

38.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

series433.0ms (11.6%)

Counts

4 → 84

Calls

4 calls:

166.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
90.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
89.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
88.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 2901 to 1845 computations (36.4% saved)

simplify136.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5489	8165

prune341.0ms (9.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	358	5	363

Error

Counts

363 → 5

Compiler

Compiled 11681 to 1918 computations (83.6% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	208	522
1	208	522

regimes110.0ms (2.9%)

Compiler: Compiled 1082 to 638 computations (41% saved)

bsearch0.0ms (0%)

regimes42.0ms (1.1%)

Compiler: Compiled 143 to 149 computations (-4.2% saved)

bsearch0.0ms (0%)

regimes53.0ms (1.4%)

Compiler: Compiled 24 to 40 computations (-66.7% saved)

bsearch52.0ms (1.4%)

Steps

Iters	Range		Point
7	1.5707465168723226e-18	9.582814385231955e-17	1.5476769801282746e-17
9	-4.1276384639791836e-153	-3.144070743768402e-161	-4.0647988135274745e-153
7	-9.0023014773824e-85	-4.0512097831317006e-86	-4.107632137092257e-86
10	-1.2322661262005462e+97	-1.6483013458971535e+84	-4.442686845312879e+90

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes47.0ms (1.3%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch43.0ms (1.2%)

Steps

Iters	Range		Point
7	1.5707465168723226e-18	9.582814385231955e-17	3.013434194537718e-17
9	-4.1276384639791836e-153	-3.144070743768402e-161	-4.0647988135274745e-153
7	-9.0023014773824e-85	-4.0512097831317006e-86	-5.300995057569918e-85
10	-1.2322661262005462e+97	-1.6483013458971535e+84	-1.6685747854616791e+84

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.4%)

Accuracy

Total 0.0b remaining (91.3%)

Threshold costs 0.0b (91.3%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch7.0ms (0.2%)

Compiler: Compiled 71 to 60 computations (15.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	91
1	110	91

end0.0ms (0%)

sample730.0ms (19.6%)

Algorithm

1×

intervals

Results

206.0ms

8000×

body

128

valid

Compiler

Compiled 418 to 262 computations (37.3% saved)

Pareto

0.30477495015506656

Details

analyze33.0ms (0.9%)

sample17.0ms (0.5%)

simplify175.0ms (4.7%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series96.0ms (2.6%)

simplify63.0ms (1.7%)

prune66.0ms (1.8%)

localize6.0ms (0.2%)

rewrite37.0ms (1%)

series173.0ms (4.7%)

simplify106.0ms (2.8%)

prune146.0ms (3.9%)

localize7.0ms (0.2%)

rewrite80.0ms (2.2%)

series292.0ms (7.8%)

simplify89.0ms (2.4%)

prune169.0ms (4.5%)

localize9.0ms (0.2%)

rewrite107.0ms (2.9%)

series433.0ms (11.6%)

simplify136.0ms (3.7%)

prune341.0ms (9.2%)

simplify9.0ms (0.3%)

regimes110.0ms (2.9%)

bsearch0.0ms (0%)

regimes42.0ms (1.1%)

bsearch0.0ms (0%)

regimes53.0ms (1.4%)

bsearch52.0ms (1.4%)

regimes47.0ms (1.3%)

bsearch43.0ms (1.2%)

regimes14.0ms (0.4%)

bsearch7.0ms (0.2%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample730.0ms (19.6%)

Profiling