Details

analyze811.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.8b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.5b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.8b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite146.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

42×	`*-un-lft-identity_binary64_15082`
25×	`times-frac_binary64_15088`
22×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104`
10×	`distribute-lft-out_binary64_15033`
7×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-/l_binary64_15027` `associate-/r_binary64_15026`
5×	`add-log-exp_binary64_15121`
4×	`associate-/l/_binary64_15029` `associate-/r/_binary64_15028`
3×	`pow1_binary64_15143` `div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057` `cancel-sign-sub-inv_binary64_15048`
2×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `flip3-+_binary64_15085` `flip-+_binary64_15056`
1×	`associate-+r-_binary64_15016` `diff-log_binary64_15174` `sub-neg_binary64_15075`

Counts

3 → 87

Calls

3 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
8.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 2577 to 694 computations (73.1% saved)

series1.1s (9.1%)

Error

0.8b

Counts

3 → 88

Calls

3 calls:

545.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
308.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
83.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 6577 to 4297 computations (34.7% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4973	5930
1	4973	5930

prune193.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	7	176

Error

0.7b

Counts

176 → 7

Compiler

Compiled 5339 to 1721 computations (67.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.5b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
0.7b	(/.f64 1 (-.f64 (*.f64 t z) x))
9.2b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))

rewrite174.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

39×	`*-un-lft-identity_binary64_15082`
37×	`add-sqr-sqrt_binary64_15104`
32×	`times-frac_binary64_15088`
30×	`add-cube-cbrt_binary64_15117`
19×	`add-exp-log_binary64_15120`
15×	`associate-r_binary64_15022`
13×	`add-cbrt-cube_binary64_15118`
7×	`pow1_binary64_15143` `associate-/r*_binary64_15026`
6×	`add-log-exp_binary64_15121` `associate-/r/_binary64_15028` `associate-/l*_binary64_15027`
5×	`div-exp_binary64_15133` `flip3--_binary64_15086` `flip--_binary64_15057`
4×	`prod-exp_binary64_15131` `distribute-lft-out_binary64_15033`
3×	`cbrt-undiv_binary64_15116` `unswap-sqr_binary64_15050` `associate-l_binary64_15023` `div-inv_binary64_15079` `cancel-sign-sub-inv_binary64_15048`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `cbrt-unprod_binary64_15115` `frac-times_binary64_15092` `associate-*l/_binary64_15025` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `flip3-+_binary64_15085` `associate-/l/_binary64_15029` `flip-+_binary64_15056`
1×	`pow-prod-down_binary64_15153` `un-div-inv_binary64_15080` `associate-r/_binary64_15024` `-commutative_binary64_15013` `inv-pow_binary64_15167` `pow-flip_binary64_15156` `diff-log_binary64_15174` `sub-neg_binary64_15075`

Counts

4 → 124

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
8.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 3839 to 1522 computations (60.4% saved)

series1.2s (10.6%)

Error

0.7b

Counts

4 → 116

Calls

4 calls:

540.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
312.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
131.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))
93.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 8463 to 5627 computations (33.5% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5332	7008

prune258.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	240	7	247

Error

0.7b

Counts

247 → 7

Compiler

Compiled 7149 to 2517 computations (64.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
8.4b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 t z) x))

rewrite213.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

49×	`add-exp-log_binary64_15120`
43×	`add-sqr-sqrt_binary64_15104`
33×	`times-frac_binary64_15088`
25×	`*-un-lft-identity_binary64_15082`
24×	`associate-r_binary64_15022`
22×	`add-cube-cbrt_binary64_15117`
21×	`cbrt-prod_binary64_15113`
20×	`cbrt-div_binary64_15114` `prod-exp_binary64_15131`
18×	`add-cbrt-cube_binary64_15118`
15×	`div-exp_binary64_15133` `associate-l_binary64_15023`
10×	`flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r/_binary64_15028`
9×	`unswap-sqr_binary64_15050`
8×	`cbrt-unprod_binary64_15115`
7×	`cbrt-undiv_binary64_15116`
6×	`pow1_binary64_15143`
5×	`frac-times_binary64_15092`
4×	`add-log-exp_binary64_15121` `1-exp_binary64_15126` `rec-exp_binary64_15132`
3×	`pow1/3_binary64_15164` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
2×	`div-inv_binary64_15079`
1×	`pow-prod-down_binary64_15153` `*-commutative_binary64_15013`

Counts

4 → 119

Calls

4 calls:

38.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 5760 to 1275 computations (77.9% saved)

series1.4s (11.6%)

Error

0.7b

Counts

4 → 94

Calls

4 calls:

402.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
271.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
265.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
258.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 11010 to 7045 computations (36% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5280	6700

prune441.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	213	7	220

Error

0.7b

Counts

220 → 7

Compiler

Compiled 8767 to 2310 computations (73.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite304.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

58×	`*-un-lft-identity_binary64_15082`
43×	`times-frac_binary64_15088`
38×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104`
13×	`associate-/l_binary64_15027` `associate-/r_binary64_15026`
12×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
10×	`distribute-lft-out_binary64_15033`
8×	`associate-/l/_binary64_15029` `associate-/r/_binary64_15028`
6×	`flip3--_binary64_15086` `flip--_binary64_15057`
5×	`div-sub_binary64_15087`
4×	`pow1_binary64_15143` `div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079`
2×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
1×	`associate-+r-_binary64_15016`

Counts

4 → 137

Calls

4 calls:

17.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
11.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 9436 to 2399 computations (74.6% saved)

series1.9s (16.4%)

Error

0.7b

Counts

4 → 138

Calls

4 calls:

562.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
338.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
331.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
329.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 22742 to 11190 computations (50.8% saved)

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5331	9905

prune568.0ms (4.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	275	7	282

Error

0.7b

Counts

282 → 7

Compiler

Compiled 19191 to 5376 computations (72% saved)

regimes716.0ms (6.1%)

Accuracy

Total 2.7b remaining (77.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7855 to 4872 computations (38% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	98
1	70	98

end0.0ms (0%)

sample1.7s (14.8%)

Algorithm

1×

intervals

Results

371.0ms	8000×	body	128	valid
14.0ms	333×	body	128	invalid

Compiler

Compiled 1624 to 1008 computations (37.9% saved)

Details

analyze811.0ms (7%)

sample23.0ms (0.2%)

simplify62.0ms (0.5%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite146.0ms (1.3%)

series1.1s (9.1%)

simplify79.0ms (0.7%)

prune193.0ms (1.7%)

localize12.0ms (0.1%)

rewrite174.0ms (1.5%)

series1.2s (10.6%)

simplify92.0ms (0.8%)

prune258.0ms (2.2%)

localize16.0ms (0.1%)

rewrite213.0ms (1.8%)

series1.4s (11.6%)

simplify95.0ms (0.8%)

prune441.0ms (3.8%)

localize15.0ms (0.1%)

rewrite304.0ms (2.6%)

series1.9s (16.4%)

simplify128.0ms (1.1%)

prune568.0ms (4.9%)

regimes716.0ms (6.1%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (14.8%)

Profiling