Details

analyze25.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample47.0ms (2%)

Algorithm

1×

intervals

Results

20.0ms	130×	body	1024	valid
10.0ms	76×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	31×	body	256	valid
1.0ms	8×	body	2048	valid
0.0ms	11×	body	128	valid

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	11	6
3	9	6

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

59.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	59.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.6b	(-.f64 (exp.f64 x) 1)

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

59.4b

Rules

6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`

Counts

1 → 18

Calls

1 calls:

3.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 169 to 110 computations (34.9% saved)

series10.0ms (0.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 109 to 84 computations (22.9% saved)

simplify105.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

603×	`unsub-neg_binary64`
500×	`distribute-lft-out_binary64`
405×	`sub-neg_binary64`
337×	`distribute-rgt-out_binary64`
286×	`*-commutative_binary64`

Counts

24 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	254
1	93	241
2	194	235
3	397	235
4	944	232
5	2163	232
6	3775	232
7	4628	232
8	4948	232
9	4849	232

prune9.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Error

0.0b

Counts

15 → 4

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (.f64 1/2 (.f64 x x)))
✓	59.4b	(-.f64 (exp.f64 x) 1)
	59.4b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
▶	0.3b	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))

Compiler

Compiled 150 to 105 computations (30% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
0.3b	(*.f64 x 1/6)

rewrite63.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
4.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
3.0ms	(*.f64 x 1/6)
2.0ms	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Compiler

Compiled 1347 to 1006 computations (25.3% saved)

series67.0ms (2.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

31.0ms	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
14.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
8.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
6.0ms	(*.f64 x 1/6)

Compiler

Compiled 562 to 434 computations (22.8% saved)

simplify99.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

818×	`distribute-rgt-in_binary64`
802×	`distribute-lft-in_binary64`
306×	`associate--l+_binary64`
271×	`*-commutative_binary64`
161×	`associate-l_binary64`

Counts

102 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1413
1	316	1293
2	1078	1292
3	3627	1290
4	4709	1290
5	4971	1290

prune37.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	81	3	84

Error

0.0b

Counts

84 → 3

Alt Table

Status	Error	Program
▶	0.3b	(+.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2)))
✓	59.4b	(-.f64 (exp.f64 x) 1)
	59.4b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 1065 to 767 computations (28% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))
0.3b	(*.f64 1/6 x)

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`

Counts

2 → 41

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))
3.0ms	(*.f64 1/6 x)

Compiler

Compiled 674 to 422 computations (37.4% saved)

series18.0ms (0.7%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

10.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))
4.0ms	(*.f64 1/6 x)

Compiler

Compiled 219 to 160 computations (26.9% saved)

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-+l+_binary64`
742×	`unswap-sqr_binary64`
708×	`associate-+r+_binary64`
394×	`*-commutative_binary64`
302×	`distribute-lft-in_binary64`

Counts

50 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	612
1	202	540
2	638	540
3	1525	540
4	2217	540
5	5110	540

prune15.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

0.0b

Counts

30 → 3

Alt Table

Status	Error	Program
✓	0.3b	(+.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2)))
✓	59.4b	(-.f64 (exp.f64 x) 1)
▶	59.4b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 315 to 217 computations (31.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
4.6b	(-.f64 (exp.f64 x) 1)

rewrite45.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
14×	`cube-prod_binary64`
14×	`unpow-prod-down_binary64`

Counts

3 → 82

Calls

3 calls:

4.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
4.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
3.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 867 to 630 computations (27.3% saved)

series30.0ms (1.3%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

9.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
6.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 392 to 318 computations (18.9% saved)

simplify102.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-l_binary64`
497×	`exp-prod_binary64`
448×	`associate-r_binary64`
348×	`log-prod_binary64`
251×	`distribute-rgt-in_binary64`

Counts

100 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	1311
1	224	1243
2	644	1215
3	2742	1215
4	4637	1212
5	5081	1212

prune17.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Error

0.0b

Counts

78 → 3

Alt Table

Status	Error	Program
	0.3b	(+.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2)))
	59.4b	(-.f64 (exp.f64 x) 1)
	59.4b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 459 to 325 computations (29.2% saved)

regimes102.0ms (4.3%)

Accuracy

Total 0.3b remaining (85.4%)

Threshold costs 0.3b (85.4%)

Compiler

Compiled 1484 to 1134 computations (23.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	13	16

end0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample1.4s (60.6%)

Algorithm

1×

intervals

Results

599.0ms	3991×	body	1024	valid
171.0ms	2033×	body	512	valid
109.0ms	8002×	pre	128	true
71.0ms	407×	body	2048	valid
50.0ms	1024×	body	256	valid
14.0ms	545×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 46 to 34 computations (26.1% saved)

Details

analyze25.0ms (1.1%)

sample47.0ms (2%)

simplify10.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

rewrite22.0ms (0.9%)

series10.0ms (0.4%)

simplify105.0ms (4.4%)

prune9.0ms (0.4%)

localize8.0ms (0.3%)

rewrite63.0ms (2.6%)

series67.0ms (2.8%)

simplify99.0ms (4.2%)

prune37.0ms (1.6%)

localize7.0ms (0.3%)

rewrite34.0ms (1.4%)

series18.0ms (0.7%)

simplify56.0ms (2.4%)

prune15.0ms (0.6%)

localize5.0ms (0.2%)

rewrite45.0ms (1.9%)

series30.0ms (1.3%)

simplify102.0ms (4.3%)

prune17.0ms (0.7%)

regimes102.0ms (4.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (60.6%)

Profiling