Details

analyze306.0ms (11.9%)

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)

sample1.0s (40.4%)

Results

948.0ms	8115×	body	128	valid
22.0ms	78×	body	1024	valid
9.0ms	39×	body	512	valid
7.0ms	78×	body	128	invalid
4.0ms	24×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.3%)

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

prune7.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 20

Calls

1 calls:

4.0ms

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

rewrite7.0ms (0.3%)

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))

simplify70.0ms (2.7%)

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

prune29.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

0.0b

Counts

46 → 3

Alt Table

Status	Error	Program
▶	17.0b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
	22.2b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 514 to 343 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	11.0b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))

series51.0ms (2%)

Counts

2 → 48

Calls

2 calls:

38.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
13.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
3.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

786×	`div-sub_binary64`
586×	`associate-/l*_binary64`
533×	`times-frac_binary64`
362×	`fma-def_binary64`
297×	`associate-*l/_binary64`

Counts

99 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1257
1	222	1136
2	874	1135
3	4049	1135
4	6643	1135

prune51.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Alt Table

Status	Error	Program
	22.2b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	17.0b	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))

Compiler

Compiled 1405 to 908 computations (35.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 d2 30))
	5.0b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	11.0b	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))

series31.0ms (1.2%)

Counts

2 → 36

Calls

2 calls:

28.0ms	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))
3.0ms	(/.f64 1 (-.f64 d2 30))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
28×	`add-exp-log_binary64`
21×	`associate-r_binary64`

Counts

2 → 91

Calls

2 calls:

9.0ms	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))
6.0ms	(/.f64 1 (-.f64 d2 30))

simplify91.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-def_binary64`
574×	`fma-neg_binary64`
235×	`distribute-rgt-in_binary64`
227×	`*-commutative_binary64`
220×	`distribute-lft-in_binary64`

Counts

127 → 132

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1793
1	321	1602
2	976	1591
3	2725	1587
4	4684	1583
5	5066	1583

prune104.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
▶	22.2b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	17.0b	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))

Compiler

Compiled 3184 to 2247 computations (29.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
✓	3.1b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
✓	19.2b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

series100.0ms (3.9%)

Counts

4 → 72

Calls

4 calls:

77.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
17.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
3.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))
2.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
11×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 88

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 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
3.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-in_binary64`
671×	`distribute-lft-in_binary64`
602×	`fma-def_binary64`
507×	`times-frac_binary64`
143×	`cancel-sign-sub-inv_binary64`

Counts

160 → 174

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2445
1	414	2148
2	1670	1955
3	5460	1955

prune139.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	3	177

Error

Counts

177 → 3

Alt Table

Status	Error	Program
✓	22.2b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	17.0b	(.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (/.f64 1 (-.f64 d2 30)))

Compiler

Compiled 4284 to 3046 computations (28.9% saved)

regimes207.0ms (8.1%)

Accuracy

Total 0.0b remaining (76.6%)

Threshold costs 0.0b (76.6%)

Counts

63 → 1

Compiler

Compiled 2780 to 2057 computations (26% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end68.0ms (2.7%)

Compiler: Compiled 60 to 43 computations (28.3% saved)

Details

analyze306.0ms (11.9%)

sample1.0s (40.4%)

simplify7.0ms (0.3%)

prune7.0ms (0.3%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite7.0ms (0.3%)

simplify70.0ms (2.7%)

prune29.0ms (1.1%)

localize8.0ms (0.3%)

series51.0ms (2%)

rewrite11.0ms (0.4%)

simplify74.0ms (2.9%)

prune51.0ms (2%)

localize7.0ms (0.3%)

series31.0ms (1.2%)

rewrite22.0ms (0.8%)

simplify91.0ms (3.6%)

prune104.0ms (4%)

localize15.0ms (0.6%)

series100.0ms (3.9%)

rewrite35.0ms (1.4%)

simplify78.0ms (3%)

prune139.0ms (5.4%)

regimes207.0ms (8.1%)

simplify2.0ms (0.1%)

end68.0ms (2.7%)

Profiling