Details

analyze578.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4946	38
1	4946	38
0	2	2
1	2	2

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)

sample49.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	258×	pre	128	true
13.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune5.0ms (0%)

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 (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite263.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 95

Calls

3 calls:

37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
16.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
15.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2176 to 1495 computations (31.3% saved)

series448.0ms (4.1%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

209.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
142.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
60.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1066 to 804 computations (24.6% saved)

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5017	2129

prune185.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 2392 to 1413 computations (40.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
8.7b	(/.f64 (pow.f64 m 3) v)

rewrite433.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64` `sum-log_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`diff-log_binary64` `frac-sub_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `frac-add_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`div-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `difference-of-squares_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

51.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
9.0ms	(/.f64 (pow.f64 m 3) v)
7.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 5406 to 2391 computations (55.8% saved)

series768.0ms (7%)

Error

Counts

4 → 45

Calls

4 calls:

296.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
217.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
113.0ms	(*.f64 (/.f64 m v) m)
107.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 1915 to 1313 computations (31.4% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4971	4376
1	4971	4376

prune245.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Error

Counts

202 → 4

Compiler

Compiled 5470 to 2467 computations (54.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 m m) (.f64 1 m))
0.0b	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3)))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
2.8b	(/.f64 (.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))

rewrite457.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
30×	`cancel-sign-sub-inv_binary64`
24×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
17×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
14×	`times-frac_binary64`
10×	`frac-times_binary64` `difference-of-squares_binary64`
8×	`pow1_binary64` `flip3--_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip--_binary64` `flip-+_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`associate-*l/_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-/r*_binary64` `sub-neg_binary64` `sqr-pow_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64`
2×	`distribute-lft-out_binary64` `div-inv_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `sum-log_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

21.0ms	(/.f64 (.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))
15.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3)))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
4.0ms	(+.f64 (.f64 m m) (.f64 1 m))

Compiler

Compiled 6276 to 4187 computations (33.3% saved)

series919.0ms (8.3%)

Error

Counts

4 → 46

Calls

4 calls:

467.0ms	(/.f64 (.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))
171.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
160.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (-.f64 1 (pow.f64 m 3)))
46.0ms	(+.f64 (.f64 m m) (.f64 1 m))

Compiler

Compiled 2944 to 2213 computations (24.8% saved)

simplify156.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5037	4819

prune472.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	199	4	203

Error

Counts

203 → 4

Compiler

Compiled 6537 to 3717 computations (43.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))))))

rewrite1.2s (10.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

152×	`sqrt-div_binary64`
144×	`frac-times_binary64`
61×	`flip3--_binary64` `flip--_binary64`
60×	`pow1_binary64`
57×	`flip3-+_binary64` `flip-+_binary64`
50×	`associate-*r/_binary64`
48×	`associate-*l/_binary64`
46×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
30×	`sqrt-pow1_binary64` `associate-l_binary64`
28×	`add-cube-cbrt_binary64`
23×	`pow-prod-down_binary64`
20×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`pow1/2_binary64`
10×	`pow-prod-up_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`pow-sqr_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
3×	`*-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64`

Counts

4 → 242

Calls

4 calls:

38.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))))))
14.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
12.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
8.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))

Compiler

Compiled 12740 to 8342 computations (34.5% saved)

series711.0ms (6.4%)

Error

Counts

4 → 39

Calls

4 calls:

194.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))))))
181.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
160.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
115.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m)))))

Compiler

Compiled 2493 to 1859 computations (25.4% saved)

simplify153.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5482	10492

prune882.0ms (8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	281	4	285

Error

Counts

285 → 4

Compiler

Compiled 11186 to 6874 computations (38.5% saved)

regimes332.0ms (3%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 3128 to 2469 computations (21.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	31
1	101	31

end0.0ms (0%)

sample2.4s (22.1%)

Algorithm

1×

intervals

Results

401.0ms	8000×	body	128	valid
239.0ms	8046×	pre	128	true
2.0ms	46×	body	128	invalid

Compiler

Compiled 1039 to 816 computations (21.5% saved)

Details

analyze578.0ms (5.2%)

sample49.0ms (0.4%)

simplify137.0ms (1.2%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite263.0ms (2.4%)

series448.0ms (4.1%)

simplify102.0ms (0.9%)

prune185.0ms (1.7%)

localize17.0ms (0.2%)

rewrite433.0ms (3.9%)

series768.0ms (7%)

simplify93.0ms (0.8%)

prune245.0ms (2.2%)

localize16.0ms (0.1%)

rewrite457.0ms (4.1%)

series919.0ms (8.3%)

simplify156.0ms (1.4%)

prune472.0ms (4.3%)

localize12.0ms (0.1%)

rewrite1.2s (10.4%)

series711.0ms (6.4%)

simplify153.0ms (1.4%)

prune882.0ms (8%)

regimes332.0ms (3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.4s (22.1%)

Profiling