Details

analyze91.0ms (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)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	260×	pre	128	true
0.0ms	4×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify387.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune4.0ms (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)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite275.0ms (2.5%)

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:

22.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
17.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
14.0ms	(*.f64 m (-.f64 1 m))
14.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1843 to 1217 computations (34% saved)

series840.0ms (7.6%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

285.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
249.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
182.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
65.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1157 to 849 computations (26.6% saved)

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4991	1752
1	4991	1752

prune221.0ms (2%)

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 2144 to 941 computations (56.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite308.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`add-sqr-sqrt_binary64_441`
50×	`*-un-lft-identity_binary64_419`
37×	`times-frac_binary64_425`
29×	`add-cube-cbrt_binary64_454`
25×	`associate-r_binary64_359`
14×	`difference-of-squares_binary64_388`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480`
7×	`distribute-lft-out--_binary64_371`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-/l*_binary64_364`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `associate-/r*_binary64_363`
2×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `-commutative_binary64_350` `associate-l/_binary64_362` `associate-/l/_binary64_366`
1×	`associate-*r/_binary64_361` `diff-log_binary64_511` `sub-neg_binary64_412` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418`

Counts

4 → 117

Calls

4 calls:

23.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
21.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
20.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
13.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2318 to 1496 computations (35.5% saved)

series962.0ms (8.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

330.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
248.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
190.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
129.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1284 to 935 computations (27.2% saved)

simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5598	2164

prune253.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	165	8	173

Error

Counts

173 → 8

Compiler

Compiled 2623 to 1499 computations (42.9% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite157.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
13×	`associate-l_binary64_360`
12×	`add-cube-cbrt_binary64_454`
10×	`times-frac_binary64_425`
8×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385`
7×	`add-log-exp_binary64_458`
6×	`sub-neg_binary64_412`
5×	`pow1_binary64_480` `associate-r_binary64_359`
4×	`flip3--_binary64_423` `flip--_binary64_394` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate--l+_binary64_356`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*r/_binary64_361` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373` `diff-log_binary64_511`
1×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-l/_binary64_362` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

3 → 74

Calls

3 calls:

19.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
16.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
6.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1440 to 313 computations (78.3% saved)

series700.0ms (6.3%)

Error

Counts

3 → 30

Calls

3 calls:

348.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
241.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
68.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 785 to 569 computations (27.5% saved)

simplify177.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4896	1463
1	4896	1463

prune131.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	106	6	112

Error

Counts

112 → 6

Compiler

Compiled 1618 to 434 computations (73.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m))) v)
0.0b	(*.f64 (-.f64 1 m) (sqrt.f64 m))
0.1b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) m)
0.5b	(.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m)))

rewrite297.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_441`
22×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
19×	`-un-lft-identity_binary64_419` `associate-l*_binary64_360`
13×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
10×	`associate-r_binary64_359`
8×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-*l/_binary64_362`
7×	`sqrt-prod_binary64_435`
5×	`pow-prod-down_binary64_490`
4×	`add-log-exp_binary64_458` `flip3--_binary64_423` `associate-*r/_binary64_361` `flip--_binary64_394` `difference-of-squares_binary64_388`
3×	`-commutative_binary64_350` `unswap-sqr_binary64_387` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `times-frac_binary64_425` `associate-/r_binary64_363`
2×	`distribute-lft-out--_binary64_371` `associate-/l/_binary64_366`
1×	`difference-of-sqr-1_binary64_389` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364`

Counts

4 → 99

Calls

4 calls:

35.0ms	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) m)
24.0ms	(/.f64 (.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m))) v)
23.0ms	(.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m)))
18.0ms	(*.f64 (-.f64 1 m) (sqrt.f64 m))

Compiler

Compiled 2397 to 1324 computations (44.8% saved)

series587.0ms (5.3%)

Error

Counts

4 → 29

Calls

4 calls:

289.0ms	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) m)
166.0ms	(/.f64 (.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m))) v)
59.0ms	(.f64 (sqrt.f64 m) (.f64 (-.f64 1 m) (sqrt.f64 m)))
37.0ms	(*.f64 (-.f64 1 m) (sqrt.f64 m))

Compiler

Compiled 893 to 675 computations (24.4% saved)

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4985	1614
1	4985	1614

prune176.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Error

Counts

134 → 6

Compiler

Compiled 2144 to 988 computations (53.9% saved)

regimes896.0ms (8.1%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 4821 to 3539 computations (26.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms (0%)

sample4.1s (37.1%)

Algorithm

1×

intervals

Results

475.0ms	8000×	body	128	valid
295.0ms	8060×	pre	128	true
3.0ms	60×	body	128	invalid

Compiler

Compiled 1584 to 1162 computations (26.6% saved)

Details

analyze91.0ms (0.8%)

sample41.0ms (0.4%)

simplify387.0ms (3.5%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite275.0ms (2.5%)

series840.0ms (7.6%)

simplify122.0ms (1.1%)

prune221.0ms (2%)

localize15.0ms (0.1%)

rewrite308.0ms (2.8%)

series962.0ms (8.7%)

simplify145.0ms (1.3%)

prune253.0ms (2.3%)

localize14.0ms (0.1%)

rewrite157.0ms (1.4%)

series700.0ms (6.3%)

simplify177.0ms (1.6%)

prune131.0ms (1.2%)

localize19.0ms (0.2%)

rewrite297.0ms (2.7%)

series587.0ms (5.3%)

simplify120.0ms (1.1%)

prune176.0ms (1.6%)

regimes896.0ms (8.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.1s (37.1%)

Profiling