Details

analyze42.0ms (0.6%)

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)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify232.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite147.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
10×	`associate-l_binary64_360`
9×	`associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388`
4×	`flip3--_binary64_423` `flip--_binary64_394` `associate-*r/_binary64_361` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-out--_binary64_371` `times-frac_binary64_425` `associate-/r*_binary64_363` `sub-neg_binary64_412`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `associate-l/_binary64_362` `difference-of-sqr-1_binary64_389` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1843 to 1217 computations (34% saved)

series492.0ms (7.1%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

184.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
133.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
106.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
37.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1157 to 849 computations (26.6% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	1752
1	4991	1752

prune118.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	8	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	8	142

Error

0.0b

Counts

142 → 8

Compiler

Compiled 2134 to 933 computations (56.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite345.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

180×	`times-frac_binary64_425`
175×	`add-sqr-sqrt_binary64_441`
141×	`*-un-lft-identity_binary64_419`
83×	`add-cube-cbrt_binary64_454`
44×	`difference-of-squares_binary64_388`
30×	`associate-/r*_binary64_363`
18×	`distribute-lft-out--_binary64_371`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-l_binary64_360`
11×	`associate-/r/_binary64_365`
7×	`flip3--_binary64_423` `flip--_binary64_394`
6×	`pow1_binary64_480` `add-log-exp_binary64_458` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `associate-/l*_binary64_364`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
2×	`associate-*l/_binary64_362` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`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`

Counts

4 → 209

Calls

4 calls:

39.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
33.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 4612 to 2839 computations (38.4% saved)

series515.0ms (7.5%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

166.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
137.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
102.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
74.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1523 to 1080 computations (29.1% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	4776
1	4973	4776

prune226.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	263	8	271

Error

0.0b

Counts

271 → 8

Compiler

Compiled 4874 to 2441 computations (49.9% 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)))
0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite265.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

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:

34.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
9.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
8.0ms	(-.f64 m (*.f64 m m))
5.0ms	(/.f64 v (-.f64 m (*.f64 m m)))

Compiler

Compiled 4737 to 1951 computations (58.8% saved)

series443.0ms (6.4%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

175.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
101.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
93.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
41.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1392 to 1051 computations (24.5% saved)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4984	4380
1	4984	4380

prune208.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	240	1	241
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	240	9	249

Error

Counts

249 → 9

Compiler

Compiled 4797 to 1796 computations (62.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
0.2b	(/.f64 (-.f64 1 m) (sqrt.f64 v))
0.3b	(/.f64 m (sqrt.f64 v))
0.4b	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))

rewrite313.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

145×	`add-sqr-sqrt_binary64_441`
120×	`times-frac_binary64_425`
113×	`*-un-lft-identity_binary64_419`
74×	`add-cube-cbrt_binary64_454`
66×	`sqrt-prod_binary64_435`
43×	`associate-r_binary64_359`
26×	`difference-of-squares_binary64_388`
25×	`associate-l_binary64_360`
22×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
13×	`distribute-lft-out--_binary64_371`
12×	`associate-/r*_binary64_363`
10×	`unswap-sqr_binary64_387`
9×	`associate-/l*_binary64_364`
8×	`pow1_binary64_480`
6×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
5×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458` `div-inv_binary64_416`
3×	`associate-*l/_binary64_362`
2×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3--_binary64_423` `associate-/l/_binary64_366` `flip--_binary64_394`
1×	`frac-times_binary64_429` `associate-*r/_binary64_361` `div-sub_binary64_424`

Counts

4 → 213

Calls

4 calls:

31.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
16.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
10.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 5320 to 2505 computations (52.9% saved)

series432.0ms (6.3%)

Error

Counts

4 → 38

Calls

4 calls:

170.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
95.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
78.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
63.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1437 to 1056 computations (26.5% saved)

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4976	4162
1	4976	4162

prune231.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	251	9	260

Error

Counts

260 → 9

Compiler

Compiled 5149 to 2452 computations (52.4% saved)

regimes428.0ms (6.2%)

Accuracy

Total 0.2b remaining (98.6%)

Threshold costs 0.2b (98.6%)

Compiler

Compiled 4653 to 3416 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample2.0s (29.5%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
159.0ms	8062×	pre	128	true
2.0ms	62×	body	128	invalid

Compiler

Compiled 1526 to 1120 computations (26.6% saved)

Details

analyze42.0ms (0.6%)

sample24.0ms (0.3%)

simplify232.0ms (3.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite147.0ms (2.1%)

series492.0ms (7.1%)

simplify65.0ms (0.9%)

prune118.0ms (1.7%)

localize7.0ms (0.1%)

rewrite345.0ms (5%)

series515.0ms (7.5%)

simplify98.0ms (1.4%)

prune226.0ms (3.3%)

localize8.0ms (0.1%)

rewrite265.0ms (3.8%)

series443.0ms (6.4%)

simplify91.0ms (1.3%)

prune208.0ms (3%)

localize9.0ms (0.1%)

rewrite313.0ms (4.5%)

series432.0ms (6.3%)

simplify105.0ms (1.5%)

prune231.0ms (3.4%)

regimes428.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (29.5%)

Profiling