Details

analyze143.0ms (9.9%)

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)

sample22.0ms (1.5%)

Algorithm

1×

intervals

Results

13.0ms	253×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify13.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`
5×	`distribute-rgt-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	19	10
2	33	7
3	43	7
4	44	7
5	42	7

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Alt Table

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

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

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 → 23

Calls

1 calls:

5.0ms

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

Compiler

Compiled 230 to 155 computations (32.6% saved)

series19.0ms (1.3%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

16.0ms

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

Compiler

Compiled 136 to 90 computations (33.8% saved)

simplify67.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
429×	`associate-*r/_binary64`
247×	`associate-l_binary64`

Counts

32 → 26

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	296
1	123	266
2	365	266
3	838	266
4	2523	266
5	2608	266
6	3046	266
7	5098	266

prune65.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
	13.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 30))

Compiler

Compiled 238 to 158 computations (33.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 30))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

Compiler

Compiled 185 to 99 computations (46.5% saved)

series14.0ms (1%)

Error

Counts

1 → 9

Calls

1 calls:

13.0ms

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

Compiler

Compiled 136 to 90 computations (33.8% saved)

simplify74.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

772×	`unsub-neg_binary64`
552×	`distribute-rgt-out_binary64`
342×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
277×	`associate-l_binary64`

Counts

21 → 16

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	224
1	110	200
2	379	197
3	1019	194
4	2287	191
5	3343	191
6	4247	191
7	5062	191

prune5.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Error

Counts

19 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	13.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 30))

Compiler

Compiled 146 to 99 computations (32.2% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 d2 d2) 900)
3.4b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
9.6b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite56.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 73

Calls

3 calls:

8.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
3.0ms	(-.f64 (*.f64 d2 d2) 900)

Compiler

Compiled 1322 to 786 computations (40.5% saved)

series48.0ms (3.3%)

Error

Counts

3 → 24

Calls

3 calls:

20.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
17.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
6.0ms	(-.f64 (*.f64 d2 d2) 900)

Compiler

Compiled 537 to 393 computations (26.8% saved)

simplify91.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/l*_binary64`
533×	`times-frac_binary64`
333×	`associate-*l/_binary64`
267×	`associate-/l/_binary64`
246×	`distribute-rgt-in_binary64`

Counts

97 → 74

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	1369
1	310	1195
2	1107	1195
3	4742	1195
4	4915	1195

prune23.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Error

Counts

77 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 30))
	13.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 30))

Compiler

Compiled 650 to 401 computations (38.3% saved)

regimes74.0ms (5.1%)

Accuracy

Total 0.0b remaining (70.5%)

Threshold costs 0.0b (70.5%)

Compiler

Compiled 899 to 650 computations (27.7% saved)

simplify4.0ms (0.3%)

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

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample678.0ms (47%)

Algorithm

1×

intervals

Results

368.0ms	7844×	body	128	valid
13.0ms	92×	body	1024	valid
4.0ms	98×	body	128	invalid
4.0ms	36×	body	512	valid
2.0ms	27×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

Details

analyze143.0ms (9.9%)

sample22.0ms (1.5%)

simplify13.0ms (0.9%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

rewrite19.0ms (1.3%)

series19.0ms (1.3%)

simplify67.0ms (4.6%)

prune65.0ms (4.5%)

localize5.0ms (0.3%)

rewrite9.0ms (0.6%)

series14.0ms (1%)

simplify74.0ms (5.1%)

prune5.0ms (0.4%)

localize8.0ms (0.6%)

rewrite56.0ms (3.9%)

series48.0ms (3.3%)

simplify91.0ms (6.3%)

prune23.0ms (1.6%)

regimes74.0ms (5.1%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample678.0ms (47%)

Profiling