Details

analyze687.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4996	26
1	4996	26
0	2	2
1	2	2

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample54.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	48×	body	1024	valid
8.0ms	145×	body	128	valid
8.0ms	36×	body	512	valid
5.0ms	8×	body	2048	valid
3.0ms	8×	body	1024	invalid
2.0ms	19×	body	256	valid
1.0ms	9×	body	256	invalid
1.0ms	5×	body	512	invalid
0.0ms	7×	body	128	invalid
0.0ms	8×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4941	13
1	4941	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.7b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11337`
118×	`*-un-lft-identity_binary64_11331`
90×	`unpow-prod-down_binary64_11410`
80×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
25×	`associate-/l*_binary64_11276`
19×	`distribute-lft-out_binary64_11282`
16×	`add-exp-log_binary64_11369`
12×	`associate-/r/_binary64_11277`
7×	`div-exp_binary64_11382` `div-inv_binary64_11328` `associate-/r*_binary64_11275` `add-cbrt-cube_binary64_11367`
6×	`flip3-+_binary64_11334` `flip-+_binary64_11305`
5×	`sqr-pow_binary64_11303`
4×	`pow1_binary64_11392` `pow-exp_binary64_11399`
3×	`add-log-exp_binary64_11370` `pow-unpow_binary64_11408`
2×	`cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `pow-to-exp_binary64_11400`
1×	`pow-pow_binary64_11403`

Counts

3 → 172

Calls

3 calls:

11.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.0ms	(/.f64 x (+.f64 x y))

series349.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

189.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
133.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
26.0ms	(/.f64 x (+.f64 x y))

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5028	4031

prune144.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Error

0.5b

Counts

182 → 4

Compiler

Compiled 3427 to 685 computations (80% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.2b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.2b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_11410`
51×	`cbrt-prod_binary64_11362`
48×	`*-un-lft-identity_binary64_11331`
43×	`times-frac_binary64_11337`
36×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
20×	`add-exp-log_binary64_11369`
14×	`cbrt-div_binary64_11363`
10×	`associate-/r/_binary64_11277`
7×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `pow-exp_binary64_11399`
6×	`pow1_binary64_11392` `distribute-lft-out_binary64_11282` `pow-unpow_binary64_11408`
5×	`div-exp_binary64_11382`
4×	`add-log-exp_binary64_11370` `prod-exp_binary64_11380` `frac-times_binary64_11341` `add-cbrt-cube_binary64_11367`
2×	`pow1/3_binary64_11413` `pow-pow_binary64_11403` `div-inv_binary64_11328` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `sqr-pow_binary64_11303` `pow-to-exp_binary64_11400`

Counts

4 → 116

Calls

4 calls:

17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series662.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
235.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
85.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4997	3064
1	4997	3064

prune143.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Error

0.0b

Counts

132 → 4

Compiler

Compiled 4720 to 918 computations (80.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.2b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
3.0b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_11362`
85×	`*-un-lft-identity_binary64_11331`
84×	`times-frac_binary64_11337`
61×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
48×	`log-prod_binary64_11417` `unpow-prod-down_binary64_11410`
12×	`distribute-lft-out_binary64_11282`
10×	`add-exp-log_binary64_11369`
6×	`pow1_binary64_11392`
4×	`associate-/r/_binary64_11277` `add-log-exp_binary64_11370` `cbrt-div_binary64_11363` `add-cbrt-cube_binary64_11367`
3×	`pow-unpow_binary64_11408`
2×	`pow1/3_binary64_11413` `div-exp_binary64_11382` `div-inv_binary64_11328` `rem-log-exp_binary64_11372` `flip3-+_binary64_11334` `flip-+_binary64_11305` `pow-exp_binary64_11399`
1×	`log-div_binary64_11418` `pow-pow_binary64_11403` `log-pow_binary64_11420` `sqr-pow_binary64_11303` `pow-to-exp_binary64_11400`

Counts

4 → 144

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
9.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series467.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
82.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
73.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

simplify129.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4910	3674
1	4910	3674

prune188.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Error

0.0b

Counts

160 → 4

Compiler

Compiled 5293 to 1589 computations (70% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.1b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11337`
117×	`*-un-lft-identity_binary64_11331`
108×	`unpow-prod-down_binary64_11410`
81×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
70×	`cbrt-prod_binary64_11362`
18×	`distribute-lft-out_binary64_11282`
13×	`add-exp-log_binary64_11369`
12×	`associate-/r/_binary64_11277`
9×	`pow-unpow_binary64_11408`
7×	`pow1_binary64_11392` `div-inv_binary64_11328`
6×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `sqr-pow_binary64_11303` `pow-exp_binary64_11399`
4×	`add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367`
3×	`div-exp_binary64_11382` `pow-pow_binary64_11403` `pow-to-exp_binary64_11400`
1×	`pow1/3_binary64_11413` `cbrt-div_binary64_11363`

Counts

4 → 178

Calls

4 calls:

12.0ms	(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

series1.1s (15.4%)

Counts

4 → 12

Calls

4 calls:

589.0ms	(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
180.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
175.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
172.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4955	4970
1	4955	4970

prune197.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	190	4	194

Error

0.0b

Counts

194 → 4

Compiler

Compiled 8008 to 953 computations (88.1% saved)

regimes290.0ms (4%)

Accuracy

Total 0.5b remaining (94.3%)

Threshold costs 0.5b (94.3%)

Compiler

Compiled 1712 to 894 computations (47.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	230
1	59	230

end0.0ms (0%)

sample2.2s (30.3%)

Algorithm

1×

intervals

Results

617.0ms	1734×	body	1024	valid
262.0ms	4515×	body	128	valid
228.0ms	1046×	body	512	valid
122.0ms	191×	body	2048	valid
71.0ms	514×	body	256	valid
54.0ms	169×	body	1024	invalid
46.0ms	220×	body	512	invalid
17.0ms	133×	body	256	invalid
12.0ms	198×	body	128	invalid
9.0ms	213×	body	128	nan

Compiler

Compiled 763 to 371 computations (51.4% saved)

Details

analyze687.0ms (9.5%)

sample54.0ms (0.7%)

simplify77.0ms (1.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite40.0ms (0.5%)

series349.0ms (4.8%)

simplify99.0ms (1.4%)

prune144.0ms (2%)

localize15.0ms (0.2%)

rewrite48.0ms (0.7%)

series662.0ms (9.1%)

simplify91.0ms (1.3%)

prune143.0ms (2%)

localize18.0ms (0.2%)

rewrite42.0ms (0.6%)

series467.0ms (6.4%)

simplify129.0ms (1.8%)

prune188.0ms (2.6%)

localize10.0ms (0.1%)

rewrite58.0ms (0.8%)

series1.1s (15.4%)

simplify113.0ms (1.6%)

prune197.0ms (2.7%)

regimes290.0ms (4%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (30.3%)

Profiling