Details

analyze396.0ms (5.1%)

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)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	258×	pre	128	true
8.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune4.0ms (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)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite211.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2588 to 1796 computations (30.6% saved)

series454.0ms (5.9%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

146.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
125.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
104.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
38.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1502 to 1131 computations (24.7% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2592
1	4990	2592

prune158.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	5	162

Error

Counts

162 → 5

Compiler

Compiled 2914 to 1746 computations (40.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite405.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 226

Calls

4 calls:

41.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
35.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
7.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 5583 to 3648 computations (34.7% saved)

series475.0ms (6.2%)

Error

Counts

4 → 57

Calls

4 calls:

139.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
124.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
97.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
76.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1904 to 1398 computations (26.6% saved)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4968	5653
1	4968	5653

prune307.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	283	5	288

Error

Counts

288 → 5

Compiler

Compiled 5909 to 3531 computations (40.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite320.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64`
34×	`frac-times_binary64` `*-un-lft-identity_binary64`
25×	`flip3-+_binary64` `flip-+_binary64`
24×	`cancel-sign-sub-inv_binary64`
23×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
17×	`associate-l/_binary64` `associate-l*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`pow1_binary64`
12×	`associate-*r/_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`sqrt-prod_binary64` `times-frac_binary64`
8×	`associate-+r+_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
5×	`pow-prod-down_binary64`
3×	`distribute-lft-out--_binary64` `*-commutative_binary64` `unswap-sqr_binary64`
2×	`distribute-lft-out_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 160

Calls

4 calls:

17.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
9.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))
4.0ms	(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))

Compiler

Compiled 5639 to 3303 computations (41.4% saved)

series600.0ms (7.8%)

Error

Counts

4 → 43

Calls

4 calls:

201.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
142.0ms	(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
117.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))
102.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2129 to 1543 computations (27.5% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4960	5113
1	4960	5113

prune234.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	203	5	208

Error

Counts

208 → 5

Compiler

Compiled 5503 to 2559 computations (53.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
0.1b	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.2b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))

rewrite334.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`flip3-+_binary64` `flip-+_binary64` `associate-r/_binary64` `associate-l*_binary64`
17×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`flip3--_binary64` `flip--_binary64` `times-frac_binary64`
10×	`associate-*l/_binary64`
9×	`sqrt-prod_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`associate-r_binary64`
6×	`sqrt-div_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64`
2×	`distribute-lft-out_binary64` `*-commutative_binary64` `pow1/2_binary64` `div-inv_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64`

Counts

4 → 131

Calls

4 calls:

23.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
6.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))

Compiler

Compiled 5529 to 3776 computations (31.7% saved)

series432.0ms (5.6%)

Error

Counts

4 → 28

Calls

4 calls:

168.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
110.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
63.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
63.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))

Compiler

Compiled 2250 to 1762 computations (21.7% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	3742

prune240.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	5	164

Error

Counts

164 → 5

Compiler

Compiled 4962 to 3203 computations (35.4% saved)

regimes400.0ms (5.2%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 5291 to 4160 computations (21.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	31
1	101	31

end0.0ms (0%)

sample2.2s (28.4%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
160.0ms	8050×	pre	128	true
2.0ms	50×	body	128	invalid

Compiler

Compiled 1746 to 1369 computations (21.6% saved)

Details

analyze396.0ms (5.1%)

sample35.0ms (0.5%)

simplify95.0ms (1.2%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite211.0ms (2.7%)

series454.0ms (5.9%)

simplify74.0ms (1%)

prune158.0ms (2.1%)

localize7.0ms (0.1%)

rewrite405.0ms (5.3%)

series475.0ms (6.2%)

simplify99.0ms (1.3%)

prune307.0ms (4%)

localize12.0ms (0.2%)

rewrite320.0ms (4.2%)

series600.0ms (7.8%)

simplify100.0ms (1.3%)

prune234.0ms (3%)

localize14.0ms (0.2%)

rewrite334.0ms (4.3%)

series432.0ms (5.6%)

simplify89.0ms (1.2%)

prune240.0ms (3.1%)

regimes400.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (28.4%)

Profiling