Details

analyze95.0ms (4.1%)

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
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`associate-l_binary64` `associate-r_binary64`
5×	`*-commutative_binary64`
4×	`-rgt-identity_binary64` `-lft-identity_binary64`
3×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`1-exp_binary64` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	10
2	21	10
3	40	10
4	34	10
5	32	10

prune2.0ms (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

6.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	6.1b	(.f64 x (+.f64 1 (.f64 y y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.7b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

5×	`add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

Compiler

Compiled 302 to 156 computations (48.3% saved)

series25.0ms (1.1%)

Error

5.9b

Counts

1 → 9

Calls

1 calls:

19.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

Compiler

Compiled 154 to 109 computations (29.2% saved)

simplify84.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-rgt-in_binary64`
609×	`distribute-lft-in_binary64`
413×	`unswap-sqr_binary64`
283×	`associate-l_binary64`
239×	`*-commutative_binary64`

Counts

31 → 18

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	394
1	133	343
2	403	343
3	992	343
4	2574	343
5	3412	343
6	4783	343
7	4915	343

prune17.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	6	19

Error

6.0b

Counts

19 → 6

Alt Table

Status	Error	Program
	7.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x)))
	41.4b	(cbrt.f64 (pow.f64 (.f64 x (+.f64 1 (.f64 y y))) 3))
	12.6b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
	16.6b	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (.f64 1 1) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 1 (*.f64 y y)))))
	34.9b	(.f64 (sqrt.f64 x) (.f64 (+.f64 1 (*.f64 y y)) (sqrt.f64 x)))
▶	6.1b	(+.f64 x (.f64 x (.f64 y y)))

Compiler

Compiled 287 to 170 computations (40.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.9b	(.f64 x (.f64 y y))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `associate-l_binary64`
2×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 206 to 66 computations (68% saved)

series16.0ms (0.7%)

Error

6.0b

Counts

1 → 6

Calls

1 calls:

15.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 117 to 78 computations (33.3% saved)

simplify65.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/l/_binary64`
564×	`associate-/r/_binary64`
350×	`distribute-rgt-in_binary64`
330×	`unswap-sqr_binary64`
315×	`distribute-lft-in_binary64`

Counts

25 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	255
1	75	210
2	190	210
3	428	210
4	666	210
5	1220	210
6	2097	210
7	4847	210
8	5066	210

prune14.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	13	7	20

Error

2.8b

Counts

20 → 7

Alt Table

Status	Error	Program
	32.7b	(+.f64 x (.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x)))))
	31.5b	(+.f64 x (.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
▶	7.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x)))
	41.4b	(cbrt.f64 (pow.f64 (.f64 x (+.f64 1 (.f64 y y))) 3))
	12.6b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
	16.6b	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (.f64 1 1) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 1 (*.f64 y y)))))
✓	6.1b	(+.f64 x (.f64 x (.f64 y y)))

Compiler

Compiled 265 to 147 computations (44.5% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.0b	(.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x))
4.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x)))

rewrite81.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`

Counts

4 → 70

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x)))
6.0ms	(.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1400 to 504 computations (64% saved)

series119.0ms (5.2%)

Error

2.8b

Counts

4 → 24

Calls

4 calls:

52.0ms	(.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x))
25.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (cbrt.f64 x)))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

Compiler

Compiled 810 to 547 computations (32.5% saved)

simplify121.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

503×	`distribute-rgt-in_binary64`
496×	`distribute-lft-in_binary64`
407×	`exp-prod_binary64`
304×	`*-commutative_binary64`
270×	`+-commutative_binary64`

Counts

94 → 70

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	1463
1	249	976
2	880	976
3	2619	976
4	4258	962
5	4922	962
6	4905	962

prune37.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	67	10	77

Error

2.7b

Counts

77 → 10

Alt Table

Status	Error	Program
	22.7b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))
	32.7b	(+.f64 x (.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x)))))
	31.5b	(+.f64 x (.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
	36.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))
	41.4b	(cbrt.f64 (pow.f64 (.f64 x (+.f64 1 (.f64 y y))) 3))
▶	7.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sqrt.f64 (+.f64 1 (.f64 y y))) (.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (.f64 y y))))))
	12.6b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
	16.6b	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (.f64 1 1) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 1 (*.f64 y y)))))
	17.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (+.f64 1 (.f64 y y)) 3))))
✓	6.1b	(+.f64 x (.f64 x (.f64 y y)))

Compiler

Compiled 923 to 467 computations (49.4% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
4.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sqrt.f64 (+.f64 1 (.f64 y y))) (.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (.f64 y y))))))
5.7b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
5.7b	(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite99.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

27×	`pow1_binary64`
25×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`sqrt-div_binary64` `associate-*r/_binary64`
15×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 77

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sqrt.f64 (+.f64 1 (.f64 y y))) (.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (.f64 y y))))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
2.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2382 to 1104 computations (53.7% saved)

series102.0ms (4.5%)

Error

2.7b

Counts

4 → 32

Calls

4 calls:

27.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sqrt.f64 (+.f64 1 (.f64 y y))) (.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (.f64 y y))))))
17.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
16.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
16.0ms	(cbrt.f64 x)

Compiler

Compiled 1586 to 1010 computations (36.3% saved)

simplify109.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

698×	`unswap-sqr_binary64`
448×	`*-commutative_binary64`
405×	`exp-prod_binary64`
333×	`log-prod_binary64`
250×	`associate-r_binary64`

Counts

109 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1862
1	357	1331
2	1100	1303
3	2475	1303
4	4634	1303
5	5144	1303

prune49.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Error

2.7b

Counts

86 → 10

Alt Table

Status	Error	Program
	22.7b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))
	32.7b	(+.f64 x (.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x)))))
	31.5b	(+.f64 x (.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
	36.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 1 (.f64 y y)) (*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))
	41.4b	(cbrt.f64 (pow.f64 (.f64 x (+.f64 1 (.f64 y y))) 3))
	7.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sqrt.f64 (+.f64 1 (.f64 y y))) (.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (.f64 y y))))))
	12.6b	(/.f64 (.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (.f64 y y)))
	16.6b	(/.f64 (.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (.f64 1 1) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 1 (*.f64 y y)))))
	17.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (+.f64 1 (.f64 y y)) 3))))
	6.1b	(+.f64 x (.f64 x (.f64 y y)))

Compiler

Compiled 1381 to 727 computations (47.4% saved)

regimes558.0ms (24.4%)

Accuracy

Total -2.6b remaining (-3091.3%)

Threshold costs -2.6b (-3091.3%)

Compiler

Compiled 9386 to 5463 computations (41.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	9	10

end1.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample574.0ms (25.1%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
4.0ms	182×	body	128	invalid

Compiler

Compiled 183 to 114 computations (37.7% saved)

Details

analyze95.0ms (4.1%)

sample14.0ms (0.6%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite31.0ms (1.3%)

series25.0ms (1.1%)

simplify84.0ms (3.7%)

prune17.0ms (0.7%)

localize5.0ms (0.2%)

rewrite28.0ms (1.2%)

series16.0ms (0.7%)

simplify65.0ms (2.9%)

prune14.0ms (0.6%)

localize11.0ms (0.5%)

rewrite81.0ms (3.5%)

series119.0ms (5.2%)

simplify121.0ms (5.3%)

prune37.0ms (1.6%)

localize14.0ms (0.6%)

rewrite99.0ms (4.3%)

series102.0ms (4.5%)

simplify109.0ms (4.8%)

prune49.0ms (2.2%)

regimes558.0ms (24.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample574.0ms (25.1%)

Profiling