Details

analyze596.0ms (17.6%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample33.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

prune3.0ms (0.1%)

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 (+.f64 d3 37)))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 d2 (+.f64 d3 37))
0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite76.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
10×	`flip3-+_binary64`
10×	`add-log-exp_binary64`

Counts

2 → 92

Calls

2 calls:

16.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
13.0ms	(+.f64 d2 (+.f64 d3 37))

Compiler

Compiled 1183 to 763 computations (35.5% saved)

series70.0ms (2.1%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

50.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
9.0ms	(+.f64 d2 (+.f64 d3 37))

Compiler

Compiled 505 to 328 computations (35% saved)

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-def_binary64`
247×	`cancel-sign-sub-inv_binary64`
203×	`fma-neg_binary64`
173×	`times-frac_binary64`
163×	`distribute-rgt-neg-in_binary64`

Counts

119 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1268
1	326	1184
2	1563	1176
3	4588	1170
4	4930	1170

prune32.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Error

Counts

75 → 4

Alt Table

Status	Error	Program
	40.7b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))) (.f64 d1 (-.f64 d2 (+.f64 37 d3))))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
	1.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))

Compiler

Compiled 891 to 547 computations (38.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))
0.0b	(*.f64 d1 (+.f64 37 d3))

rewrite86.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`flip3-+_binary64`
10×	`add-cube-cbrt_binary64`
9×	`distribute-rgt-in_binary64`

Counts

2 → 92

Calls

2 calls:

19.0ms	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))
14.0ms	(*.f64 d1 (+.f64 37 d3))

Compiler

Compiled 1350 to 749 computations (44.5% saved)

series41.0ms (1.2%)

Error

Counts

2 → 24

Calls

2 calls:

24.0ms	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))
10.0ms	(*.f64 d1 (+.f64 37 d3))

Compiler

Compiled 533 to 333 computations (37.5% saved)

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-in_binary64`
671×	`fma-def_binary64`
409×	`times-frac_binary64`
266×	`cancel-sign-sub-inv_binary64`
242×	`distribute-rgt-neg-in_binary64`

Counts

116 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1304
1	381	1196
2	1478	1186
3	5438	1186

prune32.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Status	Error	Program
	40.7b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))) (.f64 d1 (-.f64 d2 (+.f64 37 d3))))
▶	0.0b	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))
	1.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))

Compiler

Compiled 828 to 504 computations (39.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 37 d2))
0.0b	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))

rewrite79.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`flip3-+_binary64`
10×	`add-cube-cbrt_binary64`
9×	`distribute-rgt-in_binary64`

Counts

2 → 92

Calls

2 calls:

18.0ms	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))
17.0ms	(*.f64 d1 (+.f64 37 d2))

Compiler

Compiled 1350 to 748 computations (44.6% saved)

series40.0ms (1.2%)

Error

Counts

2 → 24

Calls

2 calls:

23.0ms	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))
11.0ms	(*.f64 d1 (+.f64 37 d2))

Compiler

Compiled 560 to 345 computations (38.4% saved)

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-rgt-in_binary64`
672×	`fma-def_binary64`
407×	`times-frac_binary64`
271×	`cancel-sign-sub-inv_binary64`
246×	`distribute-rgt-neg-in_binary64`

Counts

116 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1311
1	384	1199
2	1477	1189
3	5331	1189

prune28.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Error

Counts

80 → 4

Alt Table

Status	Error	Program
	40.7b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))) (.f64 d1 (-.f64 d2 (+.f64 37 d3))))
✓	0.0b	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))
▶	1.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))

Compiler

Compiled 920 to 571 computations (37.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.6b	(cbrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.6b	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))
0.6b	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))

rewrite141.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-div_binary64`
39×	`flip3-+_binary64`
25×	`add-cube-cbrt_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 149

Calls

4 calls:

19.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
12.0ms	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))
11.0ms	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))
10.0ms	(cbrt.f64 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 4114 to 2561 computations (37.7% saved)

series289.0ms (8.5%)

Error

Counts

4 → 59

Calls

4 calls:

130.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
38.0ms	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))
37.0ms	(cbrt.f64 (+.f64 d2 (+.f64 d3 37)))
35.0ms	(cbrt.f64 (+.f64 37 (+.f64 d2 d3)))

Compiler

Compiled 5732 to 4427 computations (22.8% saved)

simplify151.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

365×	`distribute-rgt-in_binary64`
348×	`cancel-sign-sub-inv_binary64`
255×	`unswap-sqr_binary64`
199×	`associate-r_binary64`
190×	`associate-l_binary64`

Counts

208 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	311	4497
1	804	4212
2	2843	4026
3	4752	4018
4	5003	4018

prune97.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Error

Counts

151 → 4

Alt Table

Status	Error	Program
	40.7b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 (+.f64 37 d3) (-.f64 -37 d3) (.f64 d2 d2)))) (.f64 d1 (-.f64 d2 (+.f64 37 d3))))
	0.0b	(+.f64 (.f64 d1 (+.f64 37 d2)) (.f64 d3 d1))
	1.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 37 (+.f64 d2 d3))) (cbrt.f64 (+.f64 37 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
	0.0b	(+.f64 (.f64 d2 d1) (.f64 d1 (+.f64 37 d3)))

Compiler

Compiled 4510 to 2897 computations (35.8% saved)

regimes314.0ms (9.3%)

Accuracy

Total 0.0b remaining (46.5%)

Threshold costs 0.0b (46.5%)

Compiler

Compiled 5107 to 3551 computations (30.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end6.0ms (0.2%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

sample1.0s (30%)

Algorithm

1×

intervals

Results

380.0ms	7968×	body	128	valid
33.0ms	713×	body	128	invalid
2.0ms	14×	body	512	valid
2.0ms	10×	body	1024	valid
1.0ms	8×	body	256	valid

Compiler

Compiled 105 to 71 computations (32.4% saved)

Details

analyze596.0ms (17.6%)

sample33.0ms (1%)

simplify18.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite76.0ms (2.3%)

series70.0ms (2.1%)

simplify80.0ms (2.4%)

prune32.0ms (0.9%)

localize7.0ms (0.2%)

rewrite86.0ms (2.5%)

series41.0ms (1.2%)

simplify62.0ms (1.8%)

prune32.0ms (1%)

localize6.0ms (0.2%)

rewrite79.0ms (2.3%)

series40.0ms (1.2%)

simplify62.0ms (1.8%)

prune28.0ms (0.8%)

localize12.0ms (0.4%)

rewrite141.0ms (4.2%)

series289.0ms (8.5%)

simplify151.0ms (4.5%)

prune97.0ms (2.9%)

regimes314.0ms (9.3%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample1.0s (30%)

Profiling