Details

analyze102.0ms (2.7%)

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
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7
3	10	7

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 26 to 13 computations (50% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) y)

series8.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

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

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
373×	`associate-l_binary64`
319×	`unswap-sqr_binary64`
312×	`associate-*r/_binary64`
263×	`associate-*l/_binary64`

Counts

44 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	389
1	95	344
2	300	344
3	591	342
4	859	342
5	1608	342
6	4153	342
7	4970	342

prune21.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x y) y)
	33.5b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	23.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	7.6b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 440 to 153 computations (65.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x y) y)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	19.6b	(cbrt.f64 (.f64 (.f64 x y) y))

series1.0s (27.3%)

Counts

3 → 72

Calls

3 calls:

554.0ms

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

447.0ms

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

21.0ms

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

7.0ms

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

4.0ms

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

2.0ms

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

simplify114.0ms (3%)

Algorithm

1×	egg-herbie

Rules

651×	`unswap-sqr_binary64`
407×	`fma-neg_binary64`
356×	`fma-def_binary64`
202×	`exp-prod_binary64`
202×	`log-prod_binary64`

Counts

151 → 129

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2312
1	275	1992
2	681	1634
3	1466	1454
4	4527	1450
5	4958	1450
6	4975	1450

prune184.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	275	7	282

Error

0.0b

Counts

282 → 7

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))))
✓	0.2b	(.f64 (.f64 x y) y)
	33.5b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	23.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	34.2b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (fabs.f64 (.f64 (sqrt.f64 x) y))) (cbrt.f64 (.f64 (*.f64 x y) y)))
▶	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
	7.6b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 6712 to 1361 computations (79.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	0.6b	(cbrt.f64 y)
✓	9.9b	(cbrt.f64 (*.f64 x y))
	19.6b	(cbrt.f64 (.f64 (.f64 x y) y))

series416.0ms (11.1%)

Counts

2 → 36

Calls

2 calls:

380.0ms	(cbrt.f64 (*.f64 x y))
36.0ms	(cbrt.f64 y)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 24

Calls

2 calls:

2.0ms	(cbrt.f64 (*.f64 x y))
1.0ms	(cbrt.f64 y)

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg_binary64`
463×	`exp-sum_binary64`
419×	`log-prod_binary64`
352×	`associate-l_binary64`
237×	`associate-r_binary64`

Counts

60 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	601
1	116	597
2	224	525
3	678	429
4	2582	417
5	4697	417
6	5254	417

prune93.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	148	7	155

Error

0.0b

Counts

155 → 7

Alt Table

Status	Error	Program
▶	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))))
✓	0.2b	(.f64 (.f64 x y) y)
	33.5b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	23.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	34.2b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (fabs.f64 (.f64 (sqrt.f64 x) y))) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
	7.6b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 3927 to 1070 computations (72.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
	19.6b	(cbrt.f64 (.f64 (.f64 x y) y))
✓	19.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y))))

series449.0ms (12%)

Counts

1 → 24

Calls

1 calls:

449.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`rem-cbrt-cube_binary64`
1×	`pow3_binary64`
1×	`cbrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

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

simplify91.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg_binary64`
605×	`fma-def_binary64`
534×	`log-prod_binary64`
364×	`exp-prod_binary64`
272×	`distribute-rgt-in_binary64`

Counts

36 → 28

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	557
1	108	517
2	182	429
3	482	389
4	1430	379
5	4192	367
6	4109	367
7	4951	367
8	4971	367

prune203.0ms (5.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	323	7	330

Error

0.0b

Counts

330 → 7

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))))
✓	0.2b	(.f64 (.f64 x y) y)
	33.5b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	23.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	34.2b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (fabs.f64 (.f64 (sqrt.f64 x) y))) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
	7.6b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 12371 to 2146 computations (82.7% saved)

regimes348.0ms (9.3%)

Accuracy

Total 0.1b remaining (77.1%)

Threshold costs 0.1b (77.1%)

Counts

112 → 1

Compiler

Compiled 7976 to 3514 computations (55.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample471.0ms (12.6%)

Algorithm

1×

intervals

Results

182.0ms	8000×	body	128	valid
4.0ms	176×	body	128	invalid

Compiler

Compiled 138 to 63 computations (54.3% saved)

Details

analyze102.0ms (2.7%)

sample14.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize3.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify59.0ms (1.6%)

prune21.0ms (0.5%)

localize7.0ms (0.2%)

series1.0s (27.3%)

rewrite19.0ms (0.5%)

simplify114.0ms (3%)

prune184.0ms (4.9%)

localize10.0ms (0.3%)

series416.0ms (11.1%)

rewrite3.0ms (0.1%)

simplify72.0ms (1.9%)

prune93.0ms (2.5%)

localize11.0ms (0.3%)

series449.0ms (12%)

rewrite6.0ms (0.2%)

simplify91.0ms (2.4%)

prune203.0ms (5.4%)

regimes348.0ms (9.3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample471.0ms (12.6%)

Profiling