Details

analyze143.0ms (3.4%)

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 25 to 18 computations (28% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`unsub-neg_binary64`
587×	`sub-neg_binary64`
522×	`div-sub_binary64`
483×	`distribute-neg-out_binary64`
441×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	19
3	108	19
4	319	19
5	1081	19
6	2911	19
7	3254	19
8	3891	19
9	4728	19
10	4924	19

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

Error

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize8.0ms (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 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite247.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
15×	`cancel-sign-sub-inv_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2420 to 1672 computations (30.9% saved)

series133.0ms (3.2%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

35.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
31.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
31.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
11.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1304 to 918 computations (29.6% saved)

simplify121.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-rgt-in_binary64`
723×	`distribute-lft-in_binary64`
201×	`associate-/l/_binary64`
149×	`associate-/r/_binary64`
146×	`associate-l_binary64`

Counts

161 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	2768
1	476	2632
2	1612	2597
3	4724	2592
4	4972	2592

prune120.0ms (2.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Status	Error	Program
	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) (-.f64 1 m))
▶	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	19.9b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))
	4.3b	(/.f64 (.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))

Compiler

Compiled 1876 to 1164 computations (38% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
8.8b	(/.f64 (pow.f64 m 3) v)

rewrite238.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
18×	`add-log-exp_binary64`

Counts

4 → 135

Calls

4 calls:

12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))
5.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 3684 to 1628 computations (55.8% saved)

series118.0ms (2.8%)

Error

Counts

4 → 36

Calls

4 calls:

41.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
21.0ms	(/.f64 (pow.f64 m 3) v)
18.0ms	(+.f64 m (/.f64 m v))
17.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1531 to 1007 computations (34.2% saved)

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-in_binary64`
288×	`cancel-sign-sub-inv_binary64`
261×	`unswap-sqr_binary64`
201×	`associate-r_binary64`
183×	`associate-l_binary64`

Counts

171 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	2842
1	589	2603
2	2411	2542
3	5337	2542

prune127.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Error

Counts

130 → 5

Alt Table

Status	Error	Program
	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) (-.f64 1 m))
▶	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (.f64 (.f64 m m) (/.f64 m v)))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	19.9b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))

Compiler

Compiled 2335 to 1104 computations (52.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
1.5b	(.f64 (.f64 m m) (/.f64 m v))

rewrite191.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
21×	`add-cbrt-cube_binary64`
21×	`add-exp-log_binary64`
20×	`times-frac_binary64`

Counts

4 → 105

Calls

4 calls:

12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
8.0ms	(.f64 (.f64 m m) (/.f64 m v))
6.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 3356 to 1050 computations (68.7% saved)

series113.0ms (2.7%)

Error

Counts

4 → 36

Calls

4 calls:

39.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
21.0ms	(.f64 (.f64 m m) (/.f64 m v))
17.0ms	(+.f64 m (/.f64 m v))
17.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1674 to 937 computations (44% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-in_binary64`
634×	`distribute-lft-in_binary64`
296×	`times-frac_binary64`
201×	`associate-l_binary64`
179×	`associate-r_binary64`

Counts

141 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2429
1	599	2140
2	2037	2113
3	5232	2113

prune106.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Error

Counts

111 → 5

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) (-.f64 1 m))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (.f64 (.f64 m m) (/.f64 m v)))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	19.9b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))

Compiler

Compiled 2202 to 869 computations (60.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite214.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-l_binary64`

Counts

3 → 106

Calls

3 calls:

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

Compiler

Compiled 2421 to 1457 computations (39.8% saved)

series105.0ms (2.5%)

Error

Counts

3 → 42

Calls

3 calls:

33.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
32.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
22.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1160 to 810 computations (30.2% saved)

simplify114.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
773×	`distribute-lft-in_binary64`
417×	`times-frac_binary64`
173×	`associate-l_binary64`
128×	`associate-r_binary64`

Counts

148 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2682
1	510	2572
2	1614	2521
3	4917	2521
4	4993	2521

prune113.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	126	5	131

Error

Counts

131 → 5

Alt Table

Status	Error	Program
	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) (-.f64 1 m))
	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (.f64 (.f64 m m) (/.f64 m v)))
	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	19.9b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))

Compiler

Compiled 1636 to 965 computations (41% saved)

regimes796.0ms (18.9%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Compiler

Compiled 13161 to 9048 computations (31.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`distribute-lft-neg-in_binary64`
3×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	25	28
2	32	28
3	39	28
4	44	28
5	47	28
6	48	28
7	47	28

end4.0ms (0.1%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

sample846.0ms (20.1%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
143.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 177 to 119 computations (32.8% saved)

Details

analyze143.0ms (3.4%)

sample27.0ms (0.6%)

simplify98.0ms (2.3%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite247.0ms (5.9%)

series133.0ms (3.2%)

simplify121.0ms (2.9%)

prune120.0ms (2.9%)

localize11.0ms (0.3%)

rewrite238.0ms (5.7%)

series118.0ms (2.8%)

simplify98.0ms (2.3%)

prune127.0ms (3%)

localize11.0ms (0.3%)

rewrite191.0ms (4.6%)

series113.0ms (2.7%)

simplify82.0ms (1.9%)

prune106.0ms (2.5%)

localize6.0ms (0.2%)

rewrite214.0ms (5.1%)

series105.0ms (2.5%)

simplify114.0ms (2.7%)

prune113.0ms (2.7%)

regimes796.0ms (18.9%)

simplify4.0ms (0.1%)

end4.0ms (0.1%)

sample846.0ms (20.1%)

Profiling