Details

analyze249.0ms (7.7%)

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 (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify303.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4772	16
1	4772	16

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

series189.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(*.f64 m (-.f64 1 m))
66.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
51.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5471	1056

prune97.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

Compiler

Compiled 1491 to 1000 computations (32.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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) m)

rewrite80.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`times-frac_binary64`
152×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`
81×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
17×	`distribute-lft-out--_binary64`
13×	`associate-l_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 185

Calls

3 calls:

42.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series162.0ms (5%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 v (-.f64 1 m))
53.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
46.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5020	3769

prune193.0ms (6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	194	9	203

Merged error: 0.0b

Counts

203 → 9

Compiler

Compiled 4002 to 2340 computations (41.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 103

Calls

3 calls:

12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
6.0ms	(/.f64 (-.f64 1 m) v)

series137.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
49.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
38.0ms	(/.f64 (-.f64 1 m) v)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4950	1591
1	4950	1591

prune103.0ms (3.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0.0b

Counts

121 → 9

Compiler

Compiled 2082 to 1331 computations (36.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 v (*.f64 m (-.f64 1 m)))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite65.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`pow1_binary64` `associate-r_binary64` `div-exp_binary64`
8×	`difference-of-squares_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l*_binary64`
5×	`prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`difference-of-sqr-1_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 140

Calls

4 calls:

25.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
10.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
7.0ms	(*.f64 m (-.f64 1 m))

series290.0ms (9%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
75.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
62.0ms	(*.f64 m (-.f64 1 m))
61.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5465	2290

prune143.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	153	8	161

Merged error: 0b

Counts

161 → 8

Compiler

Compiled 2779 to 1899 computations (31.7% saved)

regimes37.0ms (1.1%)

Compiler: Compiled 254 to 204 computations (19.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample738.0ms (22.8%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
164.0ms	8062×	pre	128	true
2.0ms	62×	body	128	invalid

Compiler

Compiled 157 to 124 computations (21% saved)

Details

analyze249.0ms (7.7%)

sample24.0ms (0.7%)

simplify303.0ms (9.4%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite37.0ms (1.1%)

series189.0ms (5.8%)

simplify66.0ms (2%)

prune97.0ms (3%)

localize7.0ms (0.2%)

rewrite80.0ms (2.5%)

series162.0ms (5%)

simplify88.0ms (2.7%)

prune193.0ms (6%)

localize7.0ms (0.2%)

rewrite39.0ms (1.2%)

series137.0ms (4.2%)

simplify83.0ms (2.6%)

prune103.0ms (3.2%)

localize8.0ms (0.3%)

rewrite65.0ms (2%)

series290.0ms (9%)

simplify76.0ms (2.3%)

prune143.0ms (4.4%)

regimes37.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample738.0ms (22.8%)

Profiling