Details

analyze49.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify219.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite116.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_441`
17×	`*-un-lft-identity_binary64_419`
12×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
11×	`add-cube-cbrt_binary64_454`
10×	`associate-l_binary64_360`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480`
6×	`cancel-sign-sub-inv_binary64_385`
4×	`difference-of-squares_binary64_388` `associate-*r/_binary64_361` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `associate-l/_binary64_362` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366` `sub-neg_binary64_412`
1×	`difference-of-sqr-1_binary64_389` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364`

Counts

3 → 78

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1467 to 952 computations (35.1% saved)

series317.0ms (5.5%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

166.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
96.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
35.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 793 to 594 computations (25.1% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5040	1287

prune89.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Compiler

Compiled 1682 to 785 computations (53.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(/.f64 v (-.f64 m (*.f64 m m)))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.2b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite258.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

156×	`times-frac_binary64_425`
125×	`add-sqr-sqrt_binary64_441`
105×	`*-un-lft-identity_binary64_419`
74×	`add-cube-cbrt_binary64_454`
27×	`difference-of-squares_binary64_388`
26×	`associate-/r*_binary64_363`
20×	`associate-l_binary64_360`
19×	`add-exp-log_binary64_457`
17×	`distribute-rgt-out--_binary64_373`
13×	`add-cbrt-cube_binary64_455`
11×	`associate-/r/_binary64_365`
8×	`div-exp_binary64_470`
7×	`pow1_binary64_480` `div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394`
6×	`add-log-exp_binary64_458` `associate-/l*_binary64_364`
5×	`difference-of-sqr-1_binary64_389`
4×	`cbrt-undiv_binary64_453`
3×	`associate-r_binary64_359`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-*l/_binary64_362` `distribute-lft-out--_binary64_371`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 196

Calls

4 calls:

32.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
5.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 4737 to 1951 computations (58.8% saved)

series426.0ms (7.3%)

Error

Counts

4 → 45

Calls

4 calls:

158.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
105.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
95.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
36.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1392 to 1051 computations (24.5% saved)

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4984	4380
1	4984	4380

prune199.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	240	1	241
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	242	6	248

Error

0.0b

Counts

248 → 6

Compiler

Compiled 4735 to 1764 computations (62.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

rewrite109.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64_441`
33×	`*-un-lft-identity_binary64_419`
31×	`times-frac_binary64_425`
25×	`add-cube-cbrt_binary64_454`
19×	`associate-r_binary64_359`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373`
6×	`pow1_binary64_480`
5×	`associate-/l*_binary64_364`
4×	`cancel-sign-sub-inv_binary64_385`
3×	`associate-l_binary64_360` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366` `diff-log_binary64_511` `sub-neg_binary64_412`
1×	`pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418`

Counts

4 → 104

Calls

4 calls:

10.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
8.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
6.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2042 to 478 computations (76.6% saved)

series466.0ms (8%)

Error

Counts

4 → 39

Calls

4 calls:

177.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
126.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
100.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
36.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1065 to 755 computations (29.1% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5011	2058

prune93.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	144	5	149

Error

Counts

149 → 5

Compiler

Compiled 2252 to 499 computations (77.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v)))
0.3b	(.f64 (.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))) (/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v)))
0.3b	(/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))
0.3b	(/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v))

rewrite345.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

222×	`add-sqr-sqrt_binary64_441`
201×	`*-un-lft-identity_binary64_419`
182×	`times-frac_binary64_425`
136×	`sqrt-prod_binary64_435`
98×	`associate-r_binary64_359`
97×	`add-cube-cbrt_binary64_454`
34×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
26×	`difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372`
15×	`associate-/l*_binary64_364`
13×	`distribute-lft-out--_binary64_371` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370`
12×	`associate-/r*_binary64_363` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
11×	`pow1_binary64_480`
8×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `div-inv_binary64_416` `associate-/l/_binary64_366` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `associate-l*_binary64_360`
3×	`unswap-sqr_binary64_387`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `*-commutative_binary64_350`
1×	`div-sub_binary64_424` `flip3--_binary64_423` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393` `frac-times_binary64_429` `associate-*l/_binary64_362`

Counts

4 → 290

Calls

4 calls:

30.0ms	(.f64 (.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))) (/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v)))
19.0ms	(*.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v)))
9.0ms	(/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v))
9.0ms	(/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))

Compiler

Compiled 8431 to 1543 computations (81.7% saved)

series307.0ms (5.3%)

Error

Counts

4 → 24

Calls

4 calls:

108.0ms	(.f64 (.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))) (/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v)))
70.0ms	(*.f64 m (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v)))
57.0ms	(/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v))
55.0ms	(/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v))

Compiler

Compiled 1653 to 1049 computations (36.5% saved)

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5009	6119

prune250.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	314	5	319

Error

Counts

319 → 5

Compiler

Compiled 7927 to 1289 computations (83.7% saved)

regimes356.0ms (6.1%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 3860 to 2772 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample1.8s (31.2%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
170.0ms	8051×	pre	128	true
2.0ms	51×	body	128	invalid

Compiler

Compiled 1266 to 909 computations (28.2% saved)

Details

analyze49.0ms (0.8%)

sample25.0ms (0.4%)

simplify219.0ms (3.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite116.0ms (2%)

series317.0ms (5.5%)

simplify56.0ms (1%)

prune89.0ms (1.5%)

localize8.0ms (0.1%)

rewrite258.0ms (4.4%)

series426.0ms (7.3%)

simplify88.0ms (1.5%)

prune199.0ms (3.4%)

localize7.0ms (0.1%)

rewrite109.0ms (1.9%)

series466.0ms (8%)

simplify72.0ms (1.2%)

prune93.0ms (1.6%)

localize11.0ms (0.2%)

rewrite345.0ms (5.9%)

series307.0ms (5.3%)

simplify113.0ms (2%)

prune250.0ms (4.3%)

regimes356.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (31.2%)

Profiling