Details

analyze257.0ms (6%)

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 21 to 16 computations (23.8% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify306.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4772	16
1	4772	16

prune5.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
10.0ms	(-.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))

series210.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
59.0ms	(*.f64 m (-.f64 1 m))
58.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
31.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4947	1419
1	4947	1419

prune112.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 1852 to 1246 computations (32.7% saved)

localize7.0ms (0.2%)

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

rewrite115.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
140×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
11×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 206

Calls

4 calls:

38.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
34.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
14.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series203.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(/.f64 v (-.f64 1 m))
60.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
49.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
29.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4998	4348
1	4998	4348

prune220.0ms (5.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	218	9	227

Merged error: 0.0b

Counts

227 → 9

Compiler

Compiled 4518 to 2682 computations (40.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)
0.0b	(-.f64 (*.f64 m m) m)
0.1b	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
0.2b	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)

rewrite80.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
18×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`associate-/r_binary64` `associate-l*_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `neg-mul-1_binary64`
5×	`associate-/l*_binary64`
4×	`flip3--_binary64` `difference-of-sqr-1_binary64` `flip--_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

28.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)
25.0ms	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)
9.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
4.0ms	(-.f64 (*.f64 m m) m)

series216.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(-.f64 (*.f64 m m) m)
65.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
55.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)
29.0ms	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4931	2919
1	4931	2919

prune126.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	151	9	160

Merged error: 0b

Counts

160 → 9

Compiler

Compiled 3062 to 1066 computations (65.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
0.7b	(cbrt.f64 m)
0.7b	(cbrt.f64 m)
0.7b	(cbrt.f64 m)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
1.0ms	(cbrt.f64 m)
1.0ms	(cbrt.f64 m)
1.0ms	(cbrt.f64 m)

series633.0ms (14.8%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
153.0ms	(cbrt.f64 m)
151.0ms	(cbrt.f64 m)
141.0ms	(cbrt.f64 m)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune76.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0b

Counts

94 → 9

Compiler

Compiled 1754 to 911 computations (48.1% saved)

regimes168.0ms (3.9%)

Compiler: Compiled 1730 to 1319 computations (23.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample1.1s (26.1%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
162.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 600 to 458 computations (23.7% saved)

Details

analyze257.0ms (6%)

sample24.0ms (0.5%)

simplify306.0ms (7.2%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite55.0ms (1.3%)

series210.0ms (4.9%)

simplify59.0ms (1.4%)

prune112.0ms (2.6%)

localize7.0ms (0.2%)

rewrite115.0ms (2.7%)

series203.0ms (4.8%)

simplify86.0ms (2%)

prune220.0ms (5.1%)

localize11.0ms (0.3%)

rewrite80.0ms (1.9%)

series216.0ms (5.1%)

simplify85.0ms (2%)

prune126.0ms (3%)

localize12.0ms (0.3%)

rewrite16.0ms (0.4%)

series633.0ms (14.8%)

simplify68.0ms (1.6%)

prune76.0ms (1.8%)

regimes168.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.1%)

Profiling