Details

analyze45.0ms (1%)

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 (0.6%)

Algorithm

1×

intervals

Results

9.0ms	257×	pre	128	true
8.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify209.0ms (4.6%)

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

0.2b

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

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
11.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series309.0ms (6.8%)

Counts

3 → 30

Calls

3 calls:

171.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
97.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
41.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 489 to 401 computations (18% saved)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5040	1287

prune108.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	10	109

Error

0.0b

Counts

109 → 10

Compiler

Compiled 1778 to 1133 computations (36.3% saved)

localize10.0ms (0.2%)

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)))

rewrite81.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
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` `clear-num_binary64_418` `flip3--_binary64_423` `*-commutative_binary64_350` `frac-2neg_binary64_430` `flip--_binary64_394` `associate-/l/_binary64_366`
1×	`frac-times_binary64_429` `associate-*r/_binary64_361` `div-sub_binary64_424`

Counts

4 → 213

Calls

4 calls:

32.0ms	(*.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)
8.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

series396.0ms (8.7%)

Counts

4 → 38

Calls

4 calls:

155.0ms	(.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)))
84.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
61.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 948 to 761 computations (19.7% saved)

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4976	4162
1	4976	4162

prune247.0ms (5.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	251	10	261

Error

Counts

261 → 10

Compiler

Compiled 5308 to 2565 computations (51.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

9.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
8.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)

series293.0ms (6.5%)

Counts

2 → 24

Calls

2 calls:

170.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
123.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

Compiler

Compiled 390 to 316 computations (19% saved)

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4910	1274
1	4910	1274

prune63.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	4	3	7
Picked	0	1	1
Done	1	1	2
Total	85	9	94

Error

Counts

94 → 9

Compiler

Compiled 1362 to 359 computations (73.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v)) m)
0.0b	(+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v))
0.2b	(*.f64 m (/.f64 m v))
7.8b	(/.f64 (pow.f64 (neg.f64 m) 3) v)

rewrite82.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`times-frac_binary64_425`
75×	`add-sqr-sqrt_binary64_441`
70×	`*-un-lft-identity_binary64_419`
68×	`add-cube-cbrt_binary64_454`
40×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
26×	`associate-/l*_binary64_364`
24×	`distribute-lft-neg-in_binary64_376` `distribute-rgt-neg-in_binary64_377`
14×	`add-exp-log_binary64_457`
13×	`associate-r_binary64_359`
11×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
8×	`neg-mul-1_binary64_415`
6×	`pow1_binary64_480`
4×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `div-exp_binary64_470`
3×	`cube-neg_binary64_446` `distribute-frac-neg_binary64_382` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385` `associate-/r*_binary64_363`
2×	`unsub-neg_binary64_413` `div-inv_binary64_416` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `associate-*r/_binary64_361` `diff-log_binary64_511` `cbrt-undiv_binary64_453`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `clear-num_binary64_418` `frac-add_binary64_427` `associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `pow-exp_binary64_487` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `frac-2neg_binary64_430` `flip-+_binary64_393` `associate--l-_binary64_357` `flip--_binary64_394` `+-commutative_binary64_349`

Counts

4 → 186

Calls

4 calls:

29.0ms	(-.f64 (+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v)) m)
22.0ms	(+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v))
9.0ms	(/.f64 (pow.f64 (neg.f64 m) 3) v)
7.0ms	(*.f64 m (/.f64 m v))

series495.0ms (10.9%)

Counts

4 → 36

Calls

4 calls:

183.0ms	(-.f64 (+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v)) m)
150.0ms	(+.f64 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 (neg.f64 m) 3) v))
95.0ms	(/.f64 (pow.f64 (neg.f64 m) 3) v)
66.0ms	(*.f64 m (/.f64 m v))

Compiler

Compiled 738 to 582 computations (21.1% saved)

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5048	3172

prune164.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	223	8	231

Error

Counts

231 → 8

Compiler

Compiled 4056 to 1397 computations (65.6% saved)

regimes238.0ms (5.2%)

Accuracy

Total 0.2b remaining (99.2%)

Threshold costs 0.2b (99.2%)

Compiler

Compiled 2549 to 1865 computations (26.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end0.0ms (0%)

sample1.3s (29.5%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
164.0ms	8050×	pre	128	true
2.0ms	50×	body	128	invalid

Compiler

Compiled 876 to 641 computations (26.8% saved)

Details

analyze45.0ms (1%)

sample25.0ms (0.6%)

simplify209.0ms (4.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite37.0ms (0.8%)

series309.0ms (6.8%)

simplify54.0ms (1.2%)

prune108.0ms (2.4%)

localize10.0ms (0.2%)

rewrite81.0ms (1.8%)

series396.0ms (8.7%)

simplify109.0ms (2.4%)

prune247.0ms (5.4%)

localize7.0ms (0.1%)

rewrite22.0ms (0.5%)

series293.0ms (6.5%)

simplify93.0ms (2.1%)

prune63.0ms (1.4%)

localize9.0ms (0.2%)

rewrite82.0ms (1.8%)

series495.0ms (10.9%)

simplify94.0ms (2.1%)

prune164.0ms (3.6%)

regimes238.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (29.5%)

Profiling