Details

analyze1.2s (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1579	112
1	1579	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample50.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
3.0ms	44×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune13.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_20504`
3×	`add-log-exp_binary64_20577` `*-un-lft-identity_binary64_20538` `times-frac_binary64_20544` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
1×	`sub-neg_binary64_20531` `pow1_binary64_20599` `flip3--_binary64_20542` `add-cbrt-cube_binary64_20574` `flip--_binary64_20513` `diff-log_binary64_20630` `div-inv_binary64_20535` `add-exp-log_binary64_20576`

Counts

1 → 18

Calls

1 calls:

10.0ms

(-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2))

series230.0ms (1.8%)

Counts

1 → 18

Calls

1 calls:

230.0ms

(-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2))

Compiler

Compiled 253 to 266 computations (-5.1% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4893	446
1	4893	446

prune58.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Compiler

Compiled 475 to 297 computations (37.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

rewrite81.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_20569`
23×	`add-sqr-sqrt_binary64_20560`
18×	`cbrt-div_binary64_20570`
15×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573`
11×	`pow1_binary64_20599`
9×	`pow1/3_binary64_20620` `flip3--_binary64_20542` `flip--_binary64_20513`
6×	`swap-sqr_binary64_20505` `associate-r_binary64_20478` `associate-l_binary64_20479` `add-exp-log_binary64_20576`
4×	`add-cbrt-cube_binary64_20574` `add-log-exp_binary64_20577` `unswap-sqr_binary64_20506` `frac-times_binary64_20548`
2×	`associate-l/_binary64_20481` `associate-r/_binary64_20480` `pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `pow-prod-up_binary64_20608`
1×	`cbrt-unprod_binary64_20571` `*-commutative_binary64_20469` `pow2_binary64_20619` `prod-exp_binary64_20587` `pow-plus_binary64_20601`

Counts

4 → 87

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
10.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
10.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
9.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

series2.0s (15.4%)

Counts

4 → 71

Calls

4 calls:

576.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
482.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
454.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
444.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

Compiler

Compiled 5941 to 4977 computations (16.2% saved)

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4970	4872
1	4970	4872

prune591.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Error

0.0b

Counts

160 → 3

Compiler

Compiled 6792 to 4380 computations (35.5% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

rewrite68.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_20569`
11×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
9×	`sqrt-prod_binary64_20554`
8×	`cbrt-div_binary64_20570`
6×	`sqrt-div_binary64_20555`
4×	`pow1/3_binary64_20620` `pow1_binary64_20599` `flip3--_binary64_20542` `add-cbrt-cube_binary64_20574` `flip--_binary64_20513` `add-log-exp_binary64_20577` `add-exp-log_binary64_20576`

Counts

4 → 61

Calls

4 calls:

12.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

series1.8s (14.2%)

Counts

4 → 59

Calls

4 calls:

526.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
441.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
420.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
417.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))

Compiler

Compiled 7588 to 5897 computations (22.3% saved)

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5099	3530

prune1.0s (8.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 8427 to 5563 computations (34% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))

rewrite71.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_20569`
12×	`*-un-lft-identity_binary64_20538` `sqrt-prod_binary64_20554` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
8×	`cbrt-div_binary64_20570` `sqrt-div_binary64_20555`
4×	`pow1/3_binary64_20620` `pow1_binary64_20599` `flip3--_binary64_20542` `add-cbrt-cube_binary64_20574` `flip--_binary64_20513` `add-log-exp_binary64_20577` `add-exp-log_binary64_20576`

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
11.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))

series1.6s (12.8%)

Counts

4 → 56

Calls

4 calls:

428.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
415.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
401.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))
389.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))))

Compiler

Compiled 8456 to 6456 computations (23.7% saved)

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4999	3152
1	4999	3152

prune858.0ms (6.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 9708 to 6397 computations (34.1% saved)

regimes396.0ms (3.1%)

Accuracy

Total 0.0b remaining (27.6%)

Threshold costs 0.0b (27.6%)

Compiler

Compiled 2116 to 1751 computations (17.2% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	16
1	50	16

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample2.0s (15.5%)

Algorithm

1×

intervals

Results

586.0ms	7998×	body	128	valid
93.0ms	1102×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 262 to 221 computations (15.6% saved)

Details

analyze1.2s (9.5%)

sample50.0ms (0.4%)

simplify43.0ms (0.3%)

prune13.0ms (0.1%)

localize15.0ms (0.1%)

rewrite12.0ms (0.1%)

series230.0ms (1.8%)

simplify94.0ms (0.7%)

prune58.0ms (0.5%)

localize24.0ms (0.2%)

rewrite81.0ms (0.6%)

series2.0s (15.4%)

simplify174.0ms (1.4%)

prune591.0ms (4.6%)

localize35.0ms (0.3%)

rewrite68.0ms (0.5%)

series1.8s (14.2%)

simplify105.0ms (0.8%)

prune1.0s (8.2%)

localize31.0ms (0.2%)

rewrite71.0ms (0.6%)

series1.6s (12.8%)

simplify149.0ms (1.2%)

prune858.0ms (6.7%)

regimes396.0ms (3.1%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample2.0s (15.5%)

Profiling