Details

analyze255.0ms (6.9%)

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)

simplify269.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4905	19
1	4905	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)

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

rewrite68.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

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-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_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 → 113

Calls

4 calls:

20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
17.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(*.f64 m (-.f64 1 m))

series213.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(*.f64 m (-.f64 1 m))
61.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
46.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
34.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4978	2142
1	4978	2142

prune314.0ms (8.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Merged error: 0b

Counts

126 → 8

Compiler

Compiled 5515 to 4116 computations (25.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite67.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`add-log-exp_binary64`
7×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`associate-/r_binary64` `pow1_binary64` `times-frac_binary64` `associate-l/_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `frac-add_binary64` `associate-+l+_binary64` `div-exp_binary64`
3×	`cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `neg-mul-1_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

19.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series202.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
49.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
48.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
47.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5141	2232

prune157.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	112	8	120

Merged error: 0b

Counts

120 → 8

Compiler

Compiled 3366 to 2198 computations (34.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite57.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
13×	`times-frac_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64` `associate-r_binary64`
7×	`associate-*l/_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `frac-add_binary64` `associate-+l+_binary64` `prod-exp_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `div-inv_binary64` `frac-times_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `associate-/l*_binary64` `+-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

16.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (+.f64 1 (*.f64 (/.f64 m v) (+.f64 m -1))) m))
11.0ms	(*.f64 (/.f64 m v) (+.f64 m -1))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(.f64 (+.f64 1 (.f64 (/.f64 m v) (+.f64 m -1))) m)

series197.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
49.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (+.f64 1 (*.f64 (/.f64 m v) (+.f64 m -1))) m))
46.0ms	(*.f64 (/.f64 m v) (+.f64 m -1))
46.0ms	(.f64 (+.f64 1 (.f64 (/.f64 m v) (+.f64 m -1))) m)

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	2340
1	4957	2340

prune157.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	116	8	124

Merged error: 0b

Counts

124 → 8

Compiler

Compiled 3486 to 2165 computations (37.9% 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)))
0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

rewrite130.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

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×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`sub-neg_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 226

Calls

4 calls:

45.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
40.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series178.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(/.f64 v (-.f64 1 m))
47.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
45.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
29.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4954	5059
1	4954	5059

prune264.0ms (7.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	238	8	246

Merged error: 0b

Counts

246 → 8

Compiler

Compiled 5250 to 3249 computations (38.1% saved)

regimes53.0ms (1.4%)

Compiler: Compiled 405 to 327 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms (0%)

sample755.0ms (20.4%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
159.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 161 to 130 computations (19.3% saved)

Details

analyze255.0ms (6.9%)

sample25.0ms (0.7%)

simplify269.0ms (7.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite68.0ms (1.8%)

series213.0ms (5.7%)

simplify65.0ms (1.8%)

prune314.0ms (8.5%)

localize9.0ms (0.3%)

rewrite67.0ms (1.8%)

series202.0ms (5.5%)

simplify68.0ms (1.8%)

prune157.0ms (4.2%)

localize13.0ms (0.3%)

rewrite57.0ms (1.5%)

series197.0ms (5.3%)

simplify73.0ms (2%)

prune157.0ms (4.2%)

localize7.0ms (0.2%)

rewrite130.0ms (3.5%)

series178.0ms (4.8%)

simplify91.0ms (2.5%)

prune264.0ms (7.1%)

regimes53.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample755.0ms (20.4%)

Profiling