Details

analyze1.3s (28.7%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	98.3%	1.7%	7
0%	96.8%	3.2%	8
0%	95.6%	4.4%	9
0%	95.2%	4.8%	10
0%	94.5%	5.5%	11
0%	94.4%	5.6%	12
0%	94.1%	5.9%	13
0%	94%	6%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.3s (27.3%)

Results

888.0ms	8116×	body	128	valid
305.0ms	587×	body	8192	exit
22.0ms	82×	body	1024	valid
8.0ms	38×	body	512	valid
3.0ms	37×	body	128	invalid
3.0ms	20×	body	256	valid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify7.0ms (0.2%)

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

prune3.0ms (0.1%)

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

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 (0.1%)

Counts

1 → 20

Calls

1 calls:

4.0ms

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

rewrite7.0ms (0.2%)

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))

simplify69.0ms (1.5%)

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

prune28.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

0.0b

Counts

46 → 4

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
	14.2b	(/.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))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))

Compiler

Compiled 544 to 367 computations (32.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 15

Calls

1 calls:

5.0ms

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

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

3.0ms

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

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

727×	`unsub-neg_binary64`
558×	`distribute-rgt-out_binary64`
339×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`
285×	`associate-l_binary64`

Counts

30 → 28

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	282
1	119	258
2	411	253
3	1240	250
4	2507	249
5	3706	249
6	4378	249
7	5228	249

prune17.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	28	4	32

Error

0.0b

Counts

32 → 4

Alt Table

Status	Error	Program
▶	1.1b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
	14.2b	(/.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))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))

Compiler

Compiled 421 to 261 computations (38% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
✓	0.2b	(cbrt.f64 (+.f64 d2 30))
✓	0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
✓	0.4b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))

series446.0ms (9.5%)

Counts

4 → 72

Calls

4 calls:

427.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
8.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
5.0ms	(cbrt.f64 (+.f64 d2 30))
5.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))

rewrite79.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
40×	`flip-+_binary64`
40×	`flip3-+_binary64`
36×	`frac-times_binary64`

Counts

4 → 153

Calls

4 calls:

42.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
9.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
9.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
2.0ms	(cbrt.f64 (+.f64 d2 30))

simplify153.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
402×	`associate-l_binary64`
348×	`associate-r_binary64`
336×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`

Counts

225 → 273

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	4568
1	712	4265
2	2141	3835
3	4831	3804
4	4962	3804

prune279.0ms (6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	358	1	359
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	359	4	363

Error

Counts

363 → 4

Alt Table

Status	Error	Program
✓	1.1b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
▶	11.6b	(.f64 (.f64 d1 (pow.f64 (+.f64 d2 30) 2/3)) (cbrt.f64 (+.f64 d2 30)))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))

Compiler

Compiled 9380 to 7140 computations (23.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cbrt.f64 (+.f64 d2 30))
✓	0.3b	(.f64 (.f64 d1 (pow.f64 (+.f64 d2 30) 2/3)) (cbrt.f64 (+.f64 d2 30)))
✓	0.4b	(*.f64 d1 (pow.f64 (+.f64 d2 30) 2/3))
✓	1.7b	(pow.f64 (+.f64 d2 30) 2/3)

series411.0ms (8.8%)

Counts

3 → 60

Calls

3 calls:

400.0ms	(*.f64 d1 (pow.f64 (+.f64 d2 30) 2/3))
6.0ms	(pow.f64 (+.f64 d2 30) 2/3)
5.0ms	(.f64 (.f64 d1 (pow.f64 (+.f64 d2 30) 2/3)) (cbrt.f64 (+.f64 d2 30)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`
15×	`associate-r_binary64`
15×	`add-sqr-sqrt_binary64`
10×	`prod-exp_binary64`

Counts

3 → 75

Calls

3 calls:

10.0ms	(.f64 (.f64 d1 (pow.f64 (+.f64 d2 30) 2/3)) (cbrt.f64 (+.f64 d2 30)))
6.0ms	(*.f64 d1 (pow.f64 (+.f64 d2 30) 2/3))
3.0ms	(pow.f64 (+.f64 d2 30) 2/3)

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
546×	`*-commutative_binary64`
507×	`unswap-sqr_binary64`
376×	`fma-neg_binary64`
254×	`associate-l_binary64`

Counts

135 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2188
1	497	1862
2	1565	1662
3	3549	1597
4	5062	1597

prune119.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	190	4	194

Error

Counts

194 → 4

Alt Table

Status	Error	Program
✓	1.1b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
✓	11.6b	(.f64 (.f64 d1 (pow.f64 (+.f64 d2 30) 2/3)) (cbrt.f64 (+.f64 d2 30)))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))

Compiler

Compiled 3848 to 2961 computations (23.1% saved)

regimes146.0ms (3.1%)

Accuracy

Total 0.0b remaining (80.7%)

Threshold costs 0.0b (80.7%)

Counts

43 → 1

Compiler

Compiled 1889 to 1460 computations (22.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end63.0ms (1.3%)

Compiler: Compiled 62 to 46 computations (25.8% saved)

Details

analyze1.3s (28.7%)

sample1.3s (27.3%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite7.0ms (0.2%)

simplify69.0ms (1.5%)

prune28.0ms (0.6%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify85.0ms (1.8%)

prune17.0ms (0.4%)

localize7.0ms (0.1%)

series446.0ms (9.5%)

rewrite79.0ms (1.7%)

simplify153.0ms (3.3%)

prune279.0ms (6%)

localize8.0ms (0.2%)

series411.0ms (8.8%)

rewrite22.0ms (0.5%)

simplify87.0ms (1.9%)

prune119.0ms (2.6%)

regimes146.0ms (3.1%)

simplify2.0ms (0%)

end63.0ms (1.3%)

Profiling