Details

analyze379.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify328.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 64

Calls

4 calls:

29.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
16.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series297.0ms (3.4%)

Counts

2 → 27

Calls

2 calls:

151.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
146.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 514 to 420 computations (18.3% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4967	1833
1	4967	1833

prune172.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1860 to 1232 computations (33.8% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
0.0b	(+.f64 m (/.f64 m v))
0.0b	(.f64 2 (.f64 m (/.f64 m v)))
0.0b	(+.f64 m (/.f64 m v))
0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
0.2b	(*.f64 m (/.f64 m v))
9.1b	(/.f64 (pow.f64 m 3) v)

rewrite100.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
24×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-r_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
10×	`sum-log_binary64`
6×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `flip-+_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`diff-log_binary64` `sqr-pow_binary64` `div-exp_binary64` `frac-sub_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-+l-_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 139

Calls

8 calls:

38.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
11.0ms	(+.f64 m (/.f64 m v))
10.0ms	(/.f64 (pow.f64 m 3) v)
10.0ms	(*.f64 m (/.f64 m v))
0.0ms	(.f64 2 (.f64 m (/.f64 m v)))

series578.0ms (6.6%)

Counts

4 → 38

Calls

4 calls:

244.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
153.0ms	(/.f64 (pow.f64 m 3) v)
111.0ms	(*.f64 m (/.f64 m v))
69.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1105 to 821 computations (25.7% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	3513
1	4962	3513

prune275.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 4939 to 2093 computations (57.6% saved)

localize29.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 1 (/.f64 v (pow.f64 m 3))))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
0.0b	(+.f64 m (/.f64 m v))
0.0b	(.f64 2 (.f64 m (/.f64 m v)))
0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 1 (/.f64 v (pow.f64 m 3))))
0.2b	(/.f64 1 (/.f64 v (pow.f64 m 3)))
0.2b	(*.f64 m (/.f64 m v))
9.1b	(/.f64 v (pow.f64 m 3))

rewrite203.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

310×	`times-frac_binary64`
182×	`*-un-lft-identity_binary64`
172×	`add-sqr-sqrt_binary64`
167×	`add-cube-cbrt_binary64`
52×	`associate-/r*_binary64`
48×	`unpow-prod-down_binary64` `cube-prod_binary64`
36×	`add-exp-log_binary64`
22×	`add-log-exp_binary64`
21×	`div-exp_binary64`
16×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
13×	`associate-r_binary64`
10×	`div-inv_binary64`
9×	`sum-log_binary64`
8×	`distribute-lft-out_binary64`
7×	`pow1_binary64`
6×	`frac-add_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-+l+_binary64` `flip-+_binary64`
4×	`pow-to-exp_binary64` `diff-log_binary64` `1-exp_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64` `frac-sub_binary64` `pow-exp_binary64`
3×	`associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `inv-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 320

Calls

8 calls:

84.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 1 (/.f64 v (pow.f64 m 3))))
14.0ms	(/.f64 v (pow.f64 m 3))
12.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
9.0ms	(*.f64 m (/.f64 m v))
0.0ms	(.f64 2 (.f64 m (/.f64 m v)))

series557.0ms (6.3%)

Counts

4 → 36

Calls

4 calls:

213.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 1 (/.f64 v (pow.f64 m 3))))
136.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
115.0ms	(/.f64 v (pow.f64 m 3))
93.0ms	(*.f64 m (/.f64 m v))

Compiler

Compiled 1109 to 820 computations (26.1% saved)

simplify139.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5080	6640

prune631.0ms (7.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	356	4	360

Error

Counts

360 → 4

Compiler

Compiled 10443 to 4508 computations (56.8% saved)

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 1 (/.f64 (/.f64 v (*.f64 m m)) m)))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
0.0b	(+.f64 m (/.f64 m v))
0.0b	(.f64 2 (.f64 m (/.f64 m v)))
0.2b	(/.f64 (/.f64 v (*.f64 m m)) m)
0.2b	(/.f64 1 (/.f64 (/.f64 v (*.f64 m m)) m))
0.2b	(*.f64 m (/.f64 m v))
11.9b	(/.f64 v (*.f64 m m))

rewrite90.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

241×	`times-frac_binary64`
117×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
57×	`add-exp-log_binary64`
37×	`add-cbrt-cube_binary64`
31×	`div-exp_binary64`
29×	`associate-/r*_binary64`
24×	`div-inv_binary64`
17×	`cbrt-undiv_binary64`
13×	`associate-r_binary64` `associate-/l*_binary64`
7×	`pow1_binary64` `prod-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 233

Calls

8 calls:

12.0ms	(/.f64 1 (/.f64 (/.f64 v (*.f64 m m)) m))
9.0ms	(/.f64 v (*.f64 m m))
7.0ms	(*.f64 m (/.f64 m v))
7.0ms	(/.f64 (/.f64 v (*.f64 m m)) m)
0.0ms	(.f64 2 (.f64 m (/.f64 m v)))

series468.0ms (5.3%)

Counts

4 → 24

Calls

4 calls:

166.0ms	(/.f64 1 (/.f64 (/.f64 v (*.f64 m m)) m))
104.0ms	(/.f64 (/.f64 v (*.f64 m m)) m)
103.0ms	(*.f64 m (/.f64 m v))
94.0ms	(/.f64 v (*.f64 m m))

Compiler

Compiled 1128 to 780 computations (30.9% saved)

simplify181.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4905	3908
1	4905	3908

prune438.0ms (5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	257	4	261

Error

Counts

261 → 4

Compiler

Compiled 7680 to 2910 computations (62.1% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	1643	738
1	1643	738

regimes121.0ms (1.4%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 1000 to 784 computations (21.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	101	31
1	101	31

end0.0ms (0%)

sample3.4s (38.4%)

Algorithm

1×

intervals

Results

448.0ms	8000×	body	128	valid
241.0ms	8065×	pre	128	true
4.0ms	65×	body	128	invalid

Compiler

Compiled 1517 to 1184 computations (22% saved)

Pareto

0.45423532979801506

Details

analyze379.0ms (4.3%)

sample27.0ms (0.3%)

simplify328.0ms (3.7%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite58.0ms (0.7%)

series297.0ms (3.4%)

simplify85.0ms (1%)

prune172.0ms (2%)

localize19.0ms (0.2%)

rewrite100.0ms (1.1%)

series578.0ms (6.6%)

simplify98.0ms (1.1%)

prune275.0ms (3.1%)

localize29.0ms (0.3%)

rewrite203.0ms (2.3%)

series557.0ms (6.3%)

simplify139.0ms (1.6%)

prune631.0ms (7.2%)

localize25.0ms (0.3%)

rewrite90.0ms (1%)

series468.0ms (5.3%)

simplify181.0ms (2.1%)

prune438.0ms (5%)

simplify80.0ms (0.9%)

regimes121.0ms (1.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.4s (38.4%)

Profiling