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 (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify219.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

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)
10.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series329.0ms (6.9%)

Counts

3 → 30

Calls

3 calls:

181.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
106.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
41.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 489 to 401 computations (18% saved)

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5040	1287

prune105.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Error

Counts

109 → 8

Compiler

Compiled 1747 to 1111 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite71.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`times-frac_binary64_425`
152×	`add-sqr-sqrt_binary64_441`
134×	`*-un-lft-identity_binary64_419`
81×	`add-cube-cbrt_binary64_454`
38×	`difference-of-squares_binary64_388`
30×	`associate-/r*_binary64_363`
17×	`distribute-lft-out--_binary64_371`
13×	`associate-l_binary64_360`
12×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
11×	`associate-/r/_binary64_365`
6×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`add-log-exp_binary64_458` `difference-of-sqr-1_binary64_389` `associate-r_binary64_359`
2×	`associate-*l/_binary64_362` `clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

3 → 185

Calls

3 calls:

37.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series375.0ms (7.9%)

Counts

3 → 39

Calls

3 calls:

191.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
107.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
77.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 672 to 531 computations (21% saved)

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5062	4097

prune206.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	224	8	232

Error

Counts

232 → 8

Compiler

Compiled 4332 to 2480 computations (42.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64_441`
48×	`times-frac_binary64_425`
42×	`*-un-lft-identity_binary64_419`
34×	`add-exp-log_binary64_457`
30×	`add-cube-cbrt_binary64_454`
22×	`add-cbrt-cube_binary64_455`
17×	`associate-l_binary64_360`
14×	`div-exp_binary64_470`
12×	`associate-*r/_binary64_361`
11×	`associate-/r/_binary64_365`
10×	`associate-/r*_binary64_363`
9×	`associate-r_binary64_359` `pow1_binary64_480`
8×	`difference-of-squares_binary64_388`
7×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `cbrt-undiv_binary64_453`
6×	`prod-exp_binary64_468` `cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368`
3×	`1-exp_binary64_463` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `rec-exp_binary64_469`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `clear-num_binary64_418` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 149

Calls

4 calls:

23.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
8.0ms	(*.f64 m (-.f64 1 m))

series412.0ms (8.7%)

Counts

4 → 45

Calls

4 calls:

173.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
106.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
92.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
40.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 811 to 666 computations (17.9% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4969	2755
1	4969	2755

prune175.0ms (3.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	194	8	202

Error

Counts

202 → 8

Compiler

Compiled 3455 to 2296 computations (33.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (-.f64 1 m))
0.1b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m))
0.4b	(.f64 (.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m)) (sqrt.f64 m))

rewrite121.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`times-frac_binary64_425`
158×	`add-sqr-sqrt_binary64_441`
138×	`*-un-lft-identity_binary64_419`
85×	`add-cube-cbrt_binary64_454`
38×	`difference-of-squares_binary64_388`
30×	`associate-/r*_binary64_363`
18×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
17×	`distribute-lft-out--_binary64_371`
14×	`associate-l_binary64_360`
12×	`associate-r_binary64_359`
11×	`associate-/r/_binary64_365` `pow1_binary64_480`
7×	`flip3--_binary64_423` `flip--_binary64_394` `sqrt-prod_binary64_435`
6×	`associate-l/_binary64_362` `div-inv_binary64_416` `associate-/l_binary64_364`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`difference-of-sqr-1_binary64_389`
2×	`clear-num_binary64_418` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 212

Calls

4 calls:

41.0ms	(.f64 (.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m)) (sqrt.f64 m))
38.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m))
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
9.0ms	(/.f64 v (-.f64 1 m))

series432.0ms (9.1%)

Counts

4 → 46

Calls

4 calls:

155.0ms	(.f64 (.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m)) (sqrt.f64 m))
113.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (sqrt.f64 m))
94.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
69.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1065 to 803 computations (24.6% saved)

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	4813
1	4976	4813

prune261.0ms (5.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	258	8	266

Error

Counts

266 → 8

Compiler

Compiled 5603 to 2891 computations (48.4% saved)

regimes222.0ms (4.7%)

Accuracy

Total 0.2b remaining (98.2%)

Threshold costs 0.2b (98.2%)

Compiler

Compiled 2294 to 1769 computations (22.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms (0%)

sample1.3s (27.6%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
163.0ms	8055×	pre	128	true
2.0ms	55×	body	128	invalid

Compiler

Compiled 790 to 610 computations (22.8% saved)

Details

analyze45.0ms (1%)

sample25.0ms (0.5%)

simplify219.0ms (4.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite37.0ms (0.8%)

series329.0ms (6.9%)

simplify54.0ms (1.1%)

prune105.0ms (2.2%)

localize7.0ms (0.1%)

rewrite71.0ms (1.5%)

series375.0ms (7.9%)

simplify84.0ms (1.8%)

prune206.0ms (4.3%)

localize8.0ms (0.2%)

rewrite63.0ms (1.3%)

series412.0ms (8.7%)

simplify75.0ms (1.6%)

prune175.0ms (3.7%)

localize9.0ms (0.2%)

rewrite121.0ms (2.5%)

series432.0ms (9.1%)

simplify94.0ms (2%)

prune261.0ms (5.5%)

regimes222.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (27.6%)

Profiling