Details

analyze269.0ms (7.2%)

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)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify222.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4906	16
1	4906	16

prune6.0ms (0.2%)

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

Merged error: 0.5b

Counts

2 → 2

Compiler

Compiled 57 to 43 computations (24.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.2b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite50.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_85`
181×	`add-sqr-sqrt_binary64_101`
174×	`*-un-lft-identity_binary64_79`
86×	`add-cube-cbrt_binary64_114`
38×	`difference-of-squares_binary64_48`
25×	`distribute-lft-out_binary64_30`
21×	`associate-/l*_binary64_24`
19×	`distribute-lft-out--_binary64_31`
18×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `div-inv_binary64_76`
8×	`flip-+_binary64_53` `flip3-+_binary64_82`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`add-log-exp_binary64_118` `clear-num_binary64_78` `frac-2neg_binary64_90` `pow1_binary64_140`
1×	`flip--_binary64_54` `flip3--_binary64_83` `associate-/l/_binary64_26`

Counts

2 → 182

Calls

2 calls:

21.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 v (+.f64 t1 u))

series184.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

129.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
54.0ms	(/.f64 v (+.f64 t1 u))

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5405	5524

prune385.0ms (10.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	184	6	190

Merged error: 0.2b

Counts

190 → 6

Compiler

Compiled 8711 to 4063 computations (53.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
3.5b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite121.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

426×	`times-frac_binary64_85`
352×	`add-sqr-sqrt_binary64_101`
316×	`*-un-lft-identity_binary64_79`
155×	`add-cube-cbrt_binary64_114`
114×	`associate-r_binary64_19`
74×	`difference-of-squares_binary64_48`
43×	`distribute-lft-out_binary64_30`
37×	`distribute-lft-out--_binary64_31`
32×	`associate-/r/_binary64_25`
31×	`add-exp-log_binary64_117`
21×	`associate-/l*_binary64_24`
19×	`add-cbrt-cube_binary64_115`
16×	`div-inv_binary64_76`
14×	`div-exp_binary64_130` `flip-+_binary64_53` `flip3-+_binary64_82`
10×	`associate-/r*_binary64_23`
7×	`cbrt-undiv_binary64_113`
6×	`pow1_binary64_140`
5×	`prod-exp_binary64_128`
4×	`unswap-sqr_binary64_47`
3×	`associate-l_binary64_20` `1-exp_binary64_123` `rec-exp_binary64_129` `cbrt-unprod_binary64_112` `add-log-exp_binary64_118`
2×	`flip--_binary64_54` `clear-num_binary64_78` `flip3--_binary64_83` `frac-2neg_binary64_90`
1×	`associate-r/_binary64_21` `inv-pow_binary64_164` `-commutative_binary64_10` `pow-prod-down_binary64_150` `associate-/l/_binary64_26` `pow-flip_binary64_153`

Counts

3 → 327

Calls

3 calls:

47.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
17.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))

series249.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
83.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
42.0ms	(/.f64 1 (+.f64 t1 u))

simplify113.0ms (3%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5073	8292

prune427.0ms (11.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	336	6	342

Merged error: 0.2b

Counts

342 → 6

Compiler

Compiled 8464 to 4164 computations (50.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
3.8b	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_101`
26×	`cancel-sign-sub-inv_binary64_45`
24×	`*-un-lft-identity_binary64_79`
22×	`times-frac_binary64_85`
20×	`add-cube-cbrt_binary64_114`
14×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`frac-times_binary64_89` `associate-/r/_binary64_25`
6×	`flip-+_binary64_53` `flip--_binary64_54` `flip3--_binary64_83` `flip3-+_binary64_82` `associate-r_binary64_19`
4×	`associate-l_binary64_20` `associate-l/_binary64_22` `associate-r/_binary64_21` `pow1_binary64_140`
3×	`div-inv_binary64_76` `associate-/l*_binary64_24`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `difference-of-squares_binary64_48` `add-log-exp_binary64_118` `sub-neg_binary64_72`
1×	`associate-/r_binary64_23` `distribute-lft-out--_binary64_31` `unswap-sqr_binary64_47` `-commutative_binary64_10` `pow-prod-down_binary64_150` `clear-num_binary64_78` `distribute-lft-out_binary64_30` `frac-2neg_binary64_90`

Counts

2 → 87

Calls

2 calls:

18.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
13.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

series159.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

124.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
35.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5143	1732

prune82.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	94	5	99

Merged error: 0.2b

Counts

99 → 5

Compiler

Compiled 1897 to 706 computations (62.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.6b	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
2.2b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite58.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_101`
74×	`times-frac_binary64_85`
71×	`*-un-lft-identity_binary64_79`
41×	`add-cube-cbrt_binary64_114`
31×	`add-exp-log_binary64_117`
24×	`associate-r_binary64_19`
19×	`add-cbrt-cube_binary64_115`
18×	`associate-l_binary64_20`
14×	`difference-of-squares_binary64_48`
11×	`div-exp_binary64_130`
10×	`associate-/r*_binary64_23`
8×	`prod-exp_binary64_128` `associate-/r/_binary64_25`
7×	`distribute-lft-out--_binary64_31` `distribute-lft-out_binary64_30`
6×	`cbrt-undiv_binary64_113` `associate-/l*_binary64_24` `unswap-sqr_binary64_47` `pow1_binary64_140`
4×	`div-inv_binary64_76` `cbrt-unprod_binary64_112`
3×	`1-exp_binary64_123` `rec-exp_binary64_129` `add-log-exp_binary64_118`
2×	`flip-+_binary64_53` `flip--_binary64_54` `clear-num_binary64_78` `flip3--_binary64_83` `flip3-+_binary64_82` `frac-2neg_binary64_90`
1×	`frac-times_binary64_89` `associate-l/_binary64_22` `associate-r/_binary64_21` `inv-pow_binary64_164` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `pow-flip_binary64_153`

Counts

3 → 150

Calls

3 calls:

26.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
9.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 1 (+.f64 t1 u))

series309.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

211.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
57.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
41.0ms	(/.f64 1 (+.f64 t1 u))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5017	2693

prune146.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	159	5	164

Merged error: 0.2b

Counts

164 → 5

Compiler

Compiled 3220 to 1562 computations (51.5% saved)

regimes52.0ms (1.4%)

Compiler: Compiled 314 to 230 computations (26.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample571.0ms (15.4%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
9.0ms	257×	body	128	invalid

Compiler

Compiled 95 to 70 computations (26.3% saved)

Details

analyze269.0ms (7.2%)

sample20.0ms (0.5%)

simplify222.0ms (6%)

prune6.0ms (0.2%)

localize8.0ms (0.2%)

rewrite50.0ms (1.3%)

series184.0ms (4.9%)

simplify98.0ms (2.6%)

prune385.0ms (10.4%)

localize9.0ms (0.2%)

rewrite121.0ms (3.2%)

series249.0ms (6.7%)

simplify113.0ms (3%)

prune427.0ms (11.5%)

localize7.0ms (0.2%)

rewrite40.0ms (1.1%)

series159.0ms (4.3%)

simplify62.0ms (1.7%)

prune82.0ms (2.2%)

localize9.0ms (0.2%)

rewrite58.0ms (1.6%)

series309.0ms (8.3%)

simplify63.0ms (1.7%)

prune146.0ms (3.9%)

regimes52.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (15.4%)

Profiling