Details

analyze253.0ms (6.3%)

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 21 to 16 computations (23.8% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	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)

simplify337.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4809	16
1	4809	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)

localize9.0ms (0.2%)

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

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_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` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 96

Calls

4 calls:

15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(*.f64 m (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series210.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(*.f64 m (-.f64 1 m))
61.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
53.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
32.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5178	1466

prune114.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

Compiler

Compiled 1955 to 1286 computations (34.2% 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)

rewrite116.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64`
175×	`add-sqr-sqrt_binary64`
141×	`*-un-lft-identity_binary64`
83×	`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` `cancel-sign-sub-inv_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 → 209

Calls

4 calls:

38.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
35.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
13.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series200.0ms (5%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(/.f64 v (-.f64 1 m))
56.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
49.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
29.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	4351

prune228.0ms (5.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	219	2	221
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	220	11	231

Merged error: 0.0b

Counts

231 → 11

Compiler

Compiled 4585 to 2729 computations (40.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

13.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
7.0ms	(/.f64 (-.f64 1 m) v)

series177.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
53.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
39.0ms	(/.f64 (-.f64 1 m) v)
32.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)

simplify81.0ms (2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5850	1854

prune118.0ms (2.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	129	11	140

Merged error: 0.0b

Counts

140 → 11

Compiler

Compiled 2451 to 1584 computations (35.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
0.4b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
8×	`associate-l_binary64`
7×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*l/_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `cancel-sign-sub-inv_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 92

Calls

4 calls:

17.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series239.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
70.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))
57.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
28.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5160	1930

prune103.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	5	3	8
Picked	1	0	1
Done	1	1	2
Total	106	9	115

Merged error: 0b

Counts

115 → 9

Compiler

Compiled 2159 to 1229 computations (43.1% saved)

regimes193.0ms (4.8%)

Compiler: Compiled 2111 to 1592 computations (24.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample1.2s (30%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
169.0ms	8060×	pre	128	true
2.0ms	60×	body	128	invalid

Compiler

Compiled 727 to 549 computations (24.5% saved)

Details

analyze253.0ms (6.3%)

sample24.0ms (0.6%)

simplify337.0ms (8.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite58.0ms (1.4%)

series210.0ms (5.2%)

simplify64.0ms (1.6%)

prune114.0ms (2.8%)

localize7.0ms (0.2%)

rewrite116.0ms (2.9%)

series200.0ms (5%)

simplify88.0ms (2.2%)

prune228.0ms (5.7%)

localize7.0ms (0.2%)

rewrite51.0ms (1.3%)

series177.0ms (4.4%)

simplify81.0ms (2%)

prune118.0ms (2.9%)

localize12.0ms (0.3%)

rewrite58.0ms (1.4%)

series239.0ms (5.9%)

simplify61.0ms (1.5%)

prune103.0ms (2.6%)

regimes193.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (30%)

Profiling