Details

analyze107.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms	250×	body	128	valid
1.0ms	5×	body	1024	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.3%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

simplify67.0ms (4%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

45 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	389
1	127	359
2	385	359
3	925	359
4	2929	359
5	3014	359
6	3452	359
7	4858	359

prune26.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	19.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
	49.2b	(cbrt.f64 (.f64 (.f64 (.f64 d1 d1) d1) (.f64 (*.f64 (+.f64 d2 30) (+.f64 d2 30)) (+.f64 d2 30))))

Compiler

Compiled 530 to 355 computations (33% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 d2 3) 27000)
✓	0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
✓	4.3b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
✓	15.4b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

series107.0ms (6.4%)

Counts

4 → 72

Calls

4 calls:

89.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
13.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
3.0ms	(+.f64 (pow.f64 d2 3) 27000)
2.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

rewrite37.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
13×	`fma-def_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 97

Calls

4 calls:

12.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
5.0ms	(+.f64 (pow.f64 d2 3) 27000)
5.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

simplify67.0ms (4%)

Algorithm

1×	egg-herbie

Rules

697×	`distribute-rgt-in_binary64`
676×	`distribute-lft-in_binary64`
507×	`times-frac_binary64`
444×	`fma-def_binary64`
104×	`associate-l_binary64`

Counts

169 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2433
1	374	2131
2	1542	1986
3	5154	1986

prune116.0ms (6.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	177	3	180

Error

Counts

180 → 3

Alt Table

Status	Error	Program
▶	20.2b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	19.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

Compiler

Compiled 4413 to 3142 computations (28.8% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900)))
	4.3b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
✓	10.0b	(log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))
✓	15.4b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))))

series72.0ms (4.3%)

Counts

3 → 48

Calls

3 calls:

67.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))))
3.0ms	(log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))
2.0ms	(exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900)))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`exp-sum_binary64`

Counts

3 → 62

Calls

3 calls:

9.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))))
2.0ms	(exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900)))
1.0ms	(log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))

simplify119.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

463×	`associate-l_binary64`
378×	`associate-/l*_binary64`
369×	`distribute-rgt-in_binary64`
360×	`distribute-lft-in_binary64`
312×	`fma-def_binary64`

Counts

110 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2027
1	370	1713
2	1157	1687
3	4303	1685
4	4947	1685
5	4992	1685
6	4927	1685

prune104.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Error

Counts

180 → 3

Alt Table

Status	Error	Program
✓	20.2b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (exp.f64 (log.f64 (fma.f64 d2 (+.f64 d2 -30) 900))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	19.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

Compiler

Compiled 3915 to 2996 computations (23.5% saved)

regimes160.0ms (9.5%)

Accuracy

Total 0.0b remaining (70.2%)

Threshold costs 0.0b (70.2%)

Counts

48 → 1

Compiler

Compiled 2276 to 1718 computations (24.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample608.0ms (36.3%)

Algorithm

1×

intervals

Results

315.0ms	7838×	body	128	valid
12.0ms	95×	body	1024	valid
5.0ms	48×	body	512	valid
3.0ms	75×	body	128	invalid
1.0ms	19×	body	256	valid

Compiler

Compiled 69 to 52 computations (24.6% saved)

Details

analyze107.0ms (6.4%)

sample20.0ms (1.2%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite7.0ms (0.4%)

simplify67.0ms (4%)

prune26.0ms (1.6%)

localize11.0ms (0.7%)

series107.0ms (6.4%)

rewrite37.0ms (2.2%)

simplify67.0ms (4%)

prune116.0ms (6.9%)

localize12.0ms (0.7%)

series72.0ms (4.3%)

rewrite15.0ms (0.9%)

simplify119.0ms (7.1%)

prune104.0ms (6.2%)

regimes160.0ms (9.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample608.0ms (36.3%)

Profiling