Details

analyze249.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify249.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.6b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.1b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_84`
181×	`add-sqr-sqrt_binary64_100`
174×	`*-un-lft-identity_binary64_78`
86×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
19×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1_binary64_139`
1×	`flip3--_binary64_82` `flip--_binary64_53` `associate-/l/_binary64_25`

Counts

2 → 182

Calls

2 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 v (+.f64 t1 u))

series86.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
26.0ms	(/.f64 v (+.f64 t1 u))

simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5011	5524

prune189.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	183	7	190

Error

0.3b

Counts

190 → 7

Compiler

Compiled 4366 to 1497 computations (65.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 t1 u) v)
0.4b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
1.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite122.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1068×	`times-frac_binary64_84`
672×	`add-sqr-sqrt_binary64_100`
668×	`*-un-lft-identity_binary64_78`
402×	`add-cube-cbrt_binary64_113`
108×	`difference-of-squares_binary64_47`
79×	`distribute-lft-out_binary64_29`
60×	`associate-/l*_binary64_23`
54×	`distribute-lft-out--_binary64_30`
35×	`div-inv_binary64_75` `add-exp-log_binary64_116`
25×	`associate-/r*_binary64_22`
22×	`div-exp_binary64_129`
19×	`add-cbrt-cube_binary64_114`
10×	`cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
4×	`1-exp_binary64_122` `rec-exp_binary64_128` `pow1_binary64_139`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip-+_binary64_52` `flip3--_binary64_82` `pow-flip_binary64_152` `flip--_binary64_53` `flip3-+_binary64_81`

Counts

3 → 521

Calls

3 calls:

31.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
5.0ms	(/.f64 (+.f64 t1 u) v)

series193.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
70.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
19.0ms	(/.f64 (+.f64 t1 u) v)

simplify194.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5074	17556

prune653.0ms (11.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	528	2	530
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	530	7	537

Error

0.3b

Counts

537 → 7

Compiler

Compiled 13582 to 5270 computations (61.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.2b	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
2.2b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_100`
74×	`times-frac_binary64_84`
71×	`*-un-lft-identity_binary64_78`
41×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116`
24×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
18×	`associate-l_binary64_19`
14×	`difference-of-squares_binary64_47`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `associate-/r/_binary64_24`
7×	`distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
6×	`cbrt-undiv_binary64_112` `associate-/l*_binary64_23` `unswap-sqr_binary64_46` `pow1_binary64_139`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75`
3×	`add-log-exp_binary64_117` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`flip-+_binary64_52` `flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `frac-times_binary64_88` `pow-flip_binary64_152` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20`

Counts

3 → 150

Calls

3 calls:

27.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 1 (+.f64 t1 u))

series162.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

108.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
31.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
23.0ms	(/.f64 1 (+.f64 t1 u))

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	2693
1	4968	2693

prune138.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	159	7	166

Error

0.3b

Counts

166 → 7

Compiler

Compiled 3155 to 1511 computations (52.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.9b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
1.1b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite171.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1354×	`times-frac_binary64_84`
924×	`add-sqr-sqrt_binary64_100`
845×	`*-un-lft-identity_binary64_78`
469×	`add-cube-cbrt_binary64_113`
182×	`difference-of-squares_binary64_47`
135×	`associate-/r*_binary64_22`
97×	`distribute-lft-out_binary64_29`
91×	`distribute-lft-out--_binary64_30`
70×	`associate-/r/_binary64_24`
38×	`div-inv_binary64_75`
32×	`flip-+_binary64_52` `flip3-+_binary64_81`
31×	`add-exp-log_binary64_116`
19×	`add-cbrt-cube_binary64_114` `div-exp_binary64_129`
12×	`associate-/l*_binary64_23`
10×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
2×	`associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip3--_binary64_82` `pow-flip_binary64_152` `flip--_binary64_53` `div-sub_binary64_83`

Counts

3 → 663

Calls

3 calls:

34.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
20.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
5.0ms	(/.f64 v (+.f64 t1 u))

series169.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

111.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
33.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
26.0ms	(/.f64 v (+.f64 t1 u))

simplify218.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

672 → 672

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5132	23690

prune874.0ms (15.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	672	0	672
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	672	7	679

Error

0.3b

Counts

679 → 7

Compiler

Compiled 18290 to 7211 computations (60.6% saved)

regimes322.0ms (5.8%)

Accuracy

Total 1.1b remaining (85.5%)

Threshold costs 0b (0%)

Compiler

Compiled 4307 to 2822 computations (34.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.2s (21.9%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
7.0ms	227×	body	128	invalid

Compiler

Compiled 1084 to 711 computations (34.4% saved)

Details

analyze249.0ms (4.5%)

sample19.0ms (0.3%)

simplify249.0ms (4.5%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite45.0ms (0.8%)

series86.0ms (1.5%)

simplify90.0ms (1.6%)

prune189.0ms (3.4%)

localize8.0ms (0.2%)

rewrite122.0ms (2.2%)

series193.0ms (3.5%)

simplify194.0ms (3.5%)

prune653.0ms (11.8%)

localize8.0ms (0.1%)

rewrite53.0ms (1%)

series162.0ms (2.9%)

simplify79.0ms (1.4%)

prune138.0ms (2.5%)

localize9.0ms (0.2%)

rewrite171.0ms (3.1%)

series169.0ms (3.1%)

simplify218.0ms (3.9%)

prune874.0ms (15.8%)

regimes322.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (21.9%)

Profiling