Details

analyze149.0ms (3.2%)

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

11.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify96.0ms (2.1%)

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

prune2.0ms (0%)

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)

localize6.0ms (0.1%)

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) (-.f64 1 m))

rewrite184.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`associate-r_binary64`
12×	`cancel-sign-sub-inv_binary64`

Counts

3 → 95

Calls

3 calls:

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

Compiler

Compiled 2048 to 1400 computations (31.6% saved)

series91.0ms (2%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

26.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 907 to 641 computations (29.3% saved)

simplify108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
214×	`associate-/r*_binary64`
205×	`associate-/l/_binary64`
159×	`associate-l_binary64`

Counts

128 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2269
1	448	2160
2	1555	2134
3	4699	2129
4	4975	2129

prune78.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

Counts

110 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 (+.f64 m (pow.f64 m 3/2)) (-.f64 1 (sqrt.f64 m))) v) 1) (-.f64 1 m))

Compiler

Compiled 1511 to 930 computations (38.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) 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))
0.2b	(*.f64 (/.f64 m v) m)
10.9b	(/.f64 (pow.f64 m 3) v)

rewrite243.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`

Counts

4 → 153

Calls

4 calls:

29.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
11.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
5.0ms	(*.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4833 to 2133 computations (55.9% saved)

series115.0ms (2.5%)

Error

Counts

4 → 45

Calls

4 calls:

37.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
34.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
17.0ms	(/.f64 (pow.f64 m 3) v)
14.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1548 to 1032 computations (33.3% saved)

simplify173.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

426×	`cancel-sign-sub-inv_binary64`
281×	`unswap-sqr_binary64`
238×	`associate-r_binary64`
212×	`associate-l_binary64`
186×	`log-prod_binary64`

Counts

198 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	4748
1	738	4402
2	3032	4362
3	4733	4362
4	4977	4362

prune184.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Error

Counts

161 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))

Compiler

Compiled 3159 to 1451 computations (54.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
0.2b	(*.f64 (/.f64 m v) m)
0.2b	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
11.4b	(/.f64 (pow.f64 m 3/2) v)

rewrite341.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64`
40×	`add-exp-log_binary64`

Counts

4 → 171

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
12.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
7.0ms	(*.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 3/2) v)

Compiler

Compiled 6128 to 3064 computations (50% saved)

series87.0ms (1.9%)

Error

Counts

4 → 33

Calls

4 calls:

29.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
19.0ms	(/.f64 (pow.f64 m 3/2) v)
16.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
16.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1494 to 992 computations (33.6% saved)

simplify316.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

890×	`times-frac_binary64`
309×	`associate-r_binary64`
284×	`associate-l_binary64`
199×	`*-commutative_binary64`
162×	`distribute-rgt-in_binary64`

Counts

204 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	4290
1	927	4091
2	3418	3979
3	4834	3979
4	4941	3979
5	5000	3979
6	4947	3979

prune104.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Error

Counts

157 → 4

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))

Compiler

Compiled 3198 to 1538 computations (51.9% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 m m) (.f64 1 m))
0.0b	(/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m)))) v)
0.1b	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
0.3b	(/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))

rewrite333.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

204×	`*-un-lft-identity_binary64`
187×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
68×	`distribute-lft-out_binary64`

Counts

4 → 230

Calls

4 calls:

40.0ms	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
19.0ms	(/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m)))) v)
12.0ms	(/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))
3.0ms	(+.f64 (.f64 m m) (.f64 1 m))

Compiler

Compiled 8484 to 5872 computations (30.8% saved)

series124.0ms (2.7%)

Error

Counts

4 → 39

Calls

4 calls:

55.0ms	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
32.0ms	(/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m)))) v)
12.0ms	(/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (*.f64 1 m))))
10.0ms	(+.f64 (.f64 m m) (.f64 1 m))

Compiler

Compiled 1598 to 1153 computations (27.8% saved)

simplify269.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

842×	`div-sub_binary64`
231×	`distribute-rgt-in_binary64`
215×	`distribute-lft-in_binary64`
175×	`associate-/l/_binary64`
169×	`sub-neg_binary64`

Counts

269 → 251

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	9283
1	878	9052
2	2939	8967
3	4323	8967
4	5499	8967

prune175.0ms (3.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	251	4	255

Error

Counts

255 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 (/.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 4))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m)))) v) 1) (-.f64 1 m))
	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))

Compiler

Compiled 5571 to 3465 computations (37.8% saved)

regimes409.0ms (8.8%)

Accuracy

Total 0.1b remaining (78%)

Threshold costs 0.1b (78%)

Compiler

Compiled 8932 to 6374 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	30	22
3	38	22
4	42	22
5	43	22
6	41	22

end0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

sample969.0ms (20.9%)

Algorithm

1×

intervals

Results

393.0ms	8000×	body	128	valid
188.0ms	8056×	pre	128	true
3.0ms	56×	body	128	invalid

Compiler

Compiled 137 to 94 computations (31.4% saved)

Details

analyze149.0ms (3.2%)

sample27.0ms (0.6%)

simplify96.0ms (2.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite184.0ms (4%)

series91.0ms (2%)

simplify108.0ms (2.3%)

prune78.0ms (1.7%)

localize12.0ms (0.3%)

rewrite243.0ms (5.3%)

series115.0ms (2.5%)

simplify173.0ms (3.7%)

prune184.0ms (4%)

localize15.0ms (0.3%)

rewrite341.0ms (7.4%)

series87.0ms (1.9%)

simplify316.0ms (6.8%)

prune104.0ms (2.2%)

localize17.0ms (0.4%)

rewrite333.0ms (7.2%)

series124.0ms (2.7%)

simplify269.0ms (5.8%)

prune175.0ms (3.8%)

regimes409.0ms (8.8%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample969.0ms (20.9%)

Profiling