Details

analyze331.0ms (8.1%)

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)

sample35.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	259×	pre	128	true
9.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify96.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.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))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite183.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

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`

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

Compiler

Compiled 2420 to 1672 computations (30.9% saved)

series140.0ms (3.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
35.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
32.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
11.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1304 to 918 computations (29.6% saved)

simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-rgt-in_binary64`
723×	`distribute-lft-in_binary64`
201×	`associate-/l/_binary64`
149×	`associate-/r/_binary64`
146×	`exp-prod_binary64` `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

prune96.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	4	138

Error

Counts

138 → 4

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.2b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
	19.0b	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))
▶	0.1b	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 1)

Compiler

Compiled 1733 to 1067 computations (38.4% saved)

localize8.0ms (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 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))

rewrite156.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
19×	`associate-l_binary64`
17×	`add-cube-cbrt_binary64`
12×	`cancel-sign-sub-inv_binary64`

Counts

3 → 97

Calls

3 calls:

15.0ms	(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
10.0ms	(+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)

Compiler

Compiled 2363 to 1502 computations (36.4% saved)

series124.0ms (3%)

Error

Counts

3 → 42

Calls

3 calls:

36.0ms	(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
34.0ms	(+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)
26.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1334 to 979 computations (26.6% saved)

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-*l/_binary64`
467×	`times-frac_binary64`
380×	`associate-/l*_binary64`
213×	`exp-prod_binary64`
202×	`associate-l_binary64`

Counts

139 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2483
1	544	2354
2	1841	2315
3	4678	2309
4	5091	2309

prune86.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
	19.0b	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))
✓	0.1b	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 1)

Compiler

Compiled 1740 to 988 computations (43.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite235.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
44×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
29×	`associate-l_binary64`

Counts

4 → 171

Calls

4 calls:

23.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
13.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
12.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 4273 to 2200 computations (48.5% saved)

series128.0ms (3.1%)

Error

Counts

4 → 41

Calls

4 calls:

35.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
32.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
26.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))
19.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1538 to 1117 computations (27.4% saved)

simplify118.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

875×	`distribute-rgt-in_binary64`
834×	`distribute-lft-in_binary64`
187×	`associate-l_binary64`
175×	`associate-/l*_binary64`
152×	`associate-r_binary64`

Counts

212 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	4373
1	687	3639
2	2434	3552
3	5543	3552

prune108.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
▶	19.0b	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))
✓	0.1b	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 1)

Compiler

Compiled 2353 to 1308 computations (44.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.2b	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3)
17.9b	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))

rewrite204.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
19×	`associate-l_binary64`
18×	`add-cube-cbrt_binary64`
16×	`cube-div_binary64`

Counts

4 → 133

Calls

4 calls:

15.0ms	(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
15.0ms	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3)
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
5.0ms	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))

Compiler

Compiled 3649 to 2464 computations (32.5% saved)

series283.0ms (6.9%)

Error

Counts

4 → 69

Calls

4 calls:

113.0ms	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3)
40.0ms	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))
39.0ms	(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
26.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 4272 to 3266 computations (23.5% saved)

simplify160.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

318×	`associate-l_binary64`
316×	`associate-r_binary64`
267×	`associate-+l+_binary64`
197×	`distribute-rgt-in_binary64`
190×	`distribute-lft-in_binary64`

Counts

202 → 169

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	427	6530
1	1272	6314
2	4791	6314
3	5025	6314

prune155.0ms (3.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	169	4	173

Error

Counts

173 → 4

Alt Table

Status	Error	Program
	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.2b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
	19.0b	(cbrt.f64 (pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 3))
	0.1b	(pow.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)) 1)

Compiler

Compiled 3847 to 2408 computations (37.4% saved)

regimes329.0ms (8%)

Accuracy

Total 0.0b remaining (48.1%)

Threshold costs 0.0b (48.1%)

Compiler

Compiled 4128 to 2997 computations (27.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	22	19
3	24	19
4	25	19
5	23	19

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample857.0ms (20.9%)

Algorithm

1×

intervals

Results

289.0ms	8000×	body	128	valid
158.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 111 to 82 computations (26.1% saved)

Details

analyze331.0ms (8.1%)

sample35.0ms (0.8%)

simplify96.0ms (2.3%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite183.0ms (4.5%)

series140.0ms (3.4%)

simplify116.0ms (2.8%)

prune96.0ms (2.4%)

localize8.0ms (0.2%)

rewrite156.0ms (3.8%)

series124.0ms (3%)

simplify112.0ms (2.7%)

prune86.0ms (2.1%)

localize9.0ms (0.2%)

rewrite235.0ms (5.7%)

series128.0ms (3.1%)

simplify118.0ms (2.9%)

prune108.0ms (2.6%)

localize10.0ms (0.2%)

rewrite204.0ms (5%)

series283.0ms (6.9%)

simplify160.0ms (3.9%)

prune155.0ms (3.8%)

regimes329.0ms (8%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample857.0ms (20.9%)

Profiling