Details

analyze253.0ms (6.8%)

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 23 to 18 computations (21.7% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify200.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

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))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

series101.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(*.f64 m (-.f64 1 m))
34.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
33.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5029	1776

prune132.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0b

Counts

105 → 6

Compiler

Compiled 2132 to 1451 computations (31.9% 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) (-.f64 1 m))
0.2b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
28×	`associate-r_binary64`
16×	`difference-of-squares_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
6×	`associate-l_binary64` `cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 120

Calls

3 calls:

15.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
6.0ms	(/.f64 (-.f64 1 m) v)

series71.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
23.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
19.0ms	(/.f64 (-.f64 1 m) v)

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5029	2267

prune134.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Merged error: 0b

Counts

135 → 6

Compiler

Compiled 2737 to 1835 computations (33% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite104.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

294×	`times-frac_binary64`
234×	`add-sqr-sqrt_binary64`
220×	`*-un-lft-identity_binary64`
140×	`add-cube-cbrt_binary64`
83×	`associate-r_binary64`
52×	`difference-of-squares_binary64`
38×	`add-exp-log_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out--_binary64`
22×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
14×	`flip3--_binary64` `flip--_binary64`
10×	`div-inv_binary64`
9×	`pow1_binary64`
8×	`prod-exp_binary64`
7×	`cbrt-undiv_binary64`
6×	`associate-l_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `frac-times_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 304

Calls

4 calls:

27.0ms	(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
22.0ms	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
10.0ms	(/.f64 1 (/.f64 v (-.f64 1 m)))
9.0ms	(/.f64 v (-.f64 1 m))

series97.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(/.f64 v (-.f64 1 m))
26.0ms	(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
22.0ms	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
21.0ms	(/.f64 1 (/.f64 v (-.f64 1 m)))

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5171	5590

prune386.0ms (10.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	316	6	322

Merged error: 0b

Counts

322 → 6

Compiler

Compiled 7287 to 5000 computations (31.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
3.0ms	(cbrt.f64 (-.f64 1 m))
3.0ms	(cbrt.f64 (-.f64 1 m))
3.0ms	(cbrt.f64 (-.f64 1 m))

series109.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
27.0ms	(cbrt.f64 (-.f64 1 m))
27.0ms	(cbrt.f64 (-.f64 1 m))
25.0ms	(cbrt.f64 (-.f64 1 m))

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4898	1774
1	4898	1774

prune190.0ms (5.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0b

Counts

125 → 6

Compiler

Compiled 3533 to 2668 computations (24.5% saved)

regimes194.0ms (5.2%)

Compiler: Compiled 2502 to 1971 computations (21.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	19
1	47	19

end0.0ms (0%)

sample1.3s (34.9%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
164.0ms	8069×	pre	128	true
2.0ms	69×	body	128	invalid

Compiler

Compiled 860 to 677 computations (21.3% saved)

Details

analyze253.0ms (6.8%)

sample25.0ms (0.7%)

simplify200.0ms (5.3%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite42.0ms (1.1%)

series101.0ms (2.7%)

simplify79.0ms (2.1%)

prune132.0ms (3.5%)

localize7.0ms (0.2%)

rewrite44.0ms (1.2%)

series71.0ms (1.9%)

simplify46.0ms (1.2%)

prune134.0ms (3.6%)

localize8.0ms (0.2%)

rewrite104.0ms (2.8%)

series97.0ms (2.6%)

simplify81.0ms (2.2%)

prune386.0ms (10.3%)

localize12.0ms (0.3%)

rewrite33.0ms (0.9%)

series109.0ms (2.9%)

simplify69.0ms (1.8%)

prune190.0ms (5.1%)

regimes194.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34.9%)

Profiling