Details

analyze1.4s (9.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	91
1	4872	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14
48%	51.4%	0.6%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample262.0ms (1.7%)

Algorithm

2×

intervals

Results

20.0ms	512×	body	128	valid
2.0ms	41×	body	128	invalid

Compiler

Compiled 3347 to 4180 computations (-24.9% saved)

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune4.0ms (0%)

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

4.6b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
4.7b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite345.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

249×	`times-frac_binary64_12701`
180×	`add-sqr-sqrt_binary64_12717`
171×	`*-un-lft-identity_binary64_12695`
121×	`add-cube-cbrt_binary64_12730`
67×	`associate-r_binary64_12635`
25×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
24×	`associate-/l*_binary64_12640`
19×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
16×	`associate-/r/_binary64_12641`
10×	`div-inv_binary64_12692`
8×	`flip3--_binary64_12699` `flip--_binary64_12670` `associate-/r*_binary64_12639`
7×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729`
5×	`pow1_binary64_12756`
3×	`prod-exp_binary64_12744` `add-log-exp_binary64_12734` `cbrt-unprod_binary64_12728` `unswap-sqr_binary64_12663` `associate-l_binary64_12636`
2×	`frac-2neg_binary64_12706` `clear-num_binary64_12694`
1×	`pow-prod-down_binary64_12766` `associate-r/_binary64_12637` `-commutative_binary64_12626` `associate-/l/_binary64_12642`

Counts

3 → 228

Calls

3 calls:

23.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
9.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 4652 to 2214 computations (52.4% saved)

series705.0ms (4.7%)

Error

4.6b

Counts

3 → 63

Calls

3 calls:

340.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
190.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
103.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 2802 to 2152 computations (23.2% saved)

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4969	5683
1	4969	5683

prune325.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	285	6	291
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	285	8	293

Error

0.0b

Counts

293 → 8

Compiler

Compiled 5409 to 2429 computations (55.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
0.4b	(*.f64 x (sqrt.f64 2))
0.4b	(/.f64 (sqrt.f64 2) (-.f64 y t))
4.8b	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

rewrite800.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

456×	`times-frac_binary64_12701`
321×	`add-sqr-sqrt_binary64_12717`
317×	`*-un-lft-identity_binary64_12695`
219×	`add-cube-cbrt_binary64_12730`
127×	`sqrt-prod_binary64_12711`
118×	`associate-r_binary64_12635`
49×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
42×	`associate-/l*_binary64_12640`
34×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
16×	`associate-/r/_binary64_12641`
11×	`pow1_binary64_12756`
10×	`div-exp_binary64_12746` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `cbrt-undiv_binary64_12729` `div-inv_binary64_12692`
8×	`flip3--_binary64_12699` `flip--_binary64_12670` `associate-/r*_binary64_12639`
4×	`pow-prod-down_binary64_12766` `add-log-exp_binary64_12734` `associate-l_binary64_12636`
2×	`*-commutative_binary64_12626` `frac-2neg_binary64_12706` `clear-num_binary64_12694` `unswap-sqr_binary64_12663`
1×	`associate-*r/_binary64_12637` `associate-/l/_binary64_12642`

Counts

4 → 375

Calls

4 calls:

37.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
13.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
7.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
5.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 9585 to 5586 computations (41.7% saved)

series1.1s (7.4%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

593.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
253.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
133.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
48.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 3606 to 2971 computations (17.6% saved)

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5016	10072

prune653.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	441	8	449

Error

Counts

449 → 8

Compiler

Compiled 10128 to 5631 computations (44.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
2.0b	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t))) (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite599.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`cbrt-prod_binary64_12726`
92×	`add-sqr-sqrt_binary64_12717` `*-un-lft-identity_binary64_12695`
91×	`times-frac_binary64_12701`
56×	`add-cube-cbrt_binary64_12730`
45×	`add-exp-log_binary64_12733` `sqrt-prod_binary64_12711`
29×	`add-cbrt-cube_binary64_12731`
23×	`prod-exp_binary64_12744` `cbrt-unprod_binary64_12728`
18×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
9×	`pow1_binary64_12756`
8×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729`
6×	`associate-/r/_binary64_12641`
5×	`associate-r_binary64_12635`
4×	`add-log-exp_binary64_12734` `div-inv_binary64_12692`
3×	`pow-prod-down_binary64_12766` `pow1/3_binary64_12777` `cbrt-div_binary64_12727` `flip3--_binary64_12699` `flip--_binary64_12670`
1×	`associate-r/_binary64_12637` `associate-l_binary64_12636` `-commutative_binary64_12626`

Counts

4 → 172

Calls

4 calls:

28.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t))) (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
7.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
7.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))

Compiler

Compiled 8441 to 4750 computations (43.7% saved)

series2.7s (18%)

Error

Counts

4 → 54

Calls

4 calls:

1.8s	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t))) (cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
254.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
248.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))
238.0ms	(cbrt.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)))

Compiler

Compiled 7552 to 5999 computations (20.6% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5516	6794

prune717.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	226	8	234

Error

Counts

234 → 8

Compiler

Compiled 10507 to 6176 computations (41.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))
0.3b	(*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t)))
0.4b	(*.f64 x (sqrt.f64 2))
4.8b	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))) z))

rewrite535.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

140×	`add-sqr-sqrt_binary64_12717`
133×	`sqrt-prod_binary64_12711`
103×	`*-un-lft-identity_binary64_12695`
102×	`times-frac_binary64_12701`
65×	`add-cube-cbrt_binary64_12730`
64×	`associate-r_binary64_12635`
45×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
19×	`prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
14×	`unswap-sqr_binary64_12663`
13×	`pow1_binary64_12756` `associate-l_binary64_12636`
10×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729`
9×	`associate-/l*_binary64_12640`
5×	`pow-prod-down_binary64_12766` `associate-/r*_binary64_12639`
4×	`add-log-exp_binary64_12734` `associate-/r/_binary64_12641`
3×	`div-inv_binary64_12692` `*-commutative_binary64_12626`
2×	`associate-*r/_binary64_12637` `flip3--_binary64_12699` `flip--_binary64_12670`
1×	`frac-2neg_binary64_12706` `clear-num_binary64_12694`

Counts

4 → 216

Calls

4 calls:

26.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t)))
18.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))) z))
8.0ms	(/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))
5.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 6274 to 4472 computations (28.7% saved)

series1.0s (6.8%)

Error

Counts

4 → 63

Calls

4 calls:

570.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))) z))
183.0ms	(/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t))
124.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (-.f64 y t)))
44.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 3759 to 3208 computations (14.7% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4971	5194
1	4971	5194

prune426.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	279	8	287

Error

Counts

287 → 8

Compiler

Compiled 6334 to 4176 computations (34.1% saved)

regimes966.0ms (6.4%)

Accuracy

Total 1.8b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 8959 to 7515 computations (16.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	50
1	30	50

end0.0ms (0%)

sample1.8s (12.3%)

Algorithm

1×

intervals

Results

292.0ms	8000×	body	128	valid
28.0ms	711×	body	128	invalid

Compiler

Compiled 1367 to 1122 computations (17.9% saved)

Details

analyze1.4s (9.5%)

sample262.0ms (1.7%)

simplify78.0ms (0.5%)

prune4.0ms (0%)

localize7.0ms (0%)

rewrite345.0ms (2.3%)

series705.0ms (4.7%)

simplify116.0ms (0.8%)

prune325.0ms (2.2%)

localize10.0ms (0.1%)

rewrite800.0ms (5.3%)

series1.1s (7.4%)

simplify128.0ms (0.8%)

prune653.0ms (4.3%)

localize18.0ms (0.1%)

rewrite599.0ms (4%)

series2.7s (18%)

simplify93.0ms (0.6%)

prune717.0ms (4.8%)

localize14.0ms (0.1%)

rewrite535.0ms (3.6%)

series1.0s (6.8%)

simplify106.0ms (0.7%)

prune426.0ms (2.8%)

regimes966.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (12.3%)

Profiling