Details

analyze492.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4929	64
1	4929	64
0	3	3
1	3	3

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)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify231.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune12.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite307.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3--_binary64_82` `flip--_binary64_53`

Counts

2 → 182

Calls

2 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 4505 to 1593 computations (64.6% saved)

series410.0ms (4.9%)

Error

0.3b

Counts

2 → 36

Calls

2 calls:

267.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
113.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1560 to 1103 computations (29.3% saved)

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5176	6128

prune255.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	213	5	218
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	213	7	220

Error

0.2b

Counts

220 → 7

Compiler

Compiled 4877 to 1668 computations (65.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
14.7b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
14.7b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
14.7b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

rewrite402.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

268×	`times-frac_binary64_84`
223×	`add-sqr-sqrt_binary64_100`
217×	`*-un-lft-identity_binary64_78`
180×	`cbrt-prod_binary64_109`
113×	`add-cube-cbrt_binary64_113`
44×	`difference-of-squares_binary64_47`
30×	`distribute-lft-out_binary64_29`
22×	`associate-/r/_binary64_24` `distribute-lft-out--_binary64_30`
21×	`associate-/l*_binary64_23`
11×	`div-inv_binary64_75`
10×	`flip3-+_binary64_81` `flip-+_binary64_52`
6×	`add-exp-log_binary64_116` `associate-/r*_binary64_22`
5×	`add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `cbrt-div_binary64_110`
3×	`pow1/3_binary64_160`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `flip3--_binary64_82` `flip--_binary64_53`

Counts

4 → 249

Calls

4 calls:

32.0ms	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
8.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

Compiler

Compiled 9876 to 2391 computations (75.8% saved)

series1.4s (16.7%)

Error

0.1b

Counts

4 → 55

Calls

4 calls:

449.0ms	(/.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
317.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
281.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
276.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

Compiler

Compiled 6000 to 3677 computations (38.7% saved)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5037	9089

prune391.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	304	7	311

Error

0.2b

Counts

311 → 7

Compiler

Compiled 11449 to 2785 computations (75.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
3.1b	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

rewrite134.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

27×	`add-sqr-sqrt_binary64_100`
26×	`cancel-sign-sub-inv_binary64_44`
24×	`*-un-lft-identity_binary64_78`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
14×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`frac-times_binary64_88` `associate-/r/_binary64_24`
6×	`flip3--_binary64_82` `flip3-+_binary64_81` `flip--_binary64_53` `flip-+_binary64_52` `associate-r_binary64_18`
4×	`pow1_binary64_139` `associate-l/_binary64_21` `associate-r/_binary64_20` `associate-l_binary64_19`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`prod-exp_binary64_127` `div-exp_binary64_129` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111` `sub-neg_binary64_71` `difference-of-squares_binary64_47`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/r_binary64_22` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30` `-commutative_binary64_9`

Counts

2 → 87

Calls

2 calls:

18.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
12.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

Compiler

Compiled 1980 to 791 computations (60.1% saved)

series472.0ms (5.6%)

Error

0.2b

Counts

2 → 36

Calls

2 calls:

258.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
187.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 1251 to 975 computations (22.1% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5116	2299

prune93.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	124	6	130

Error

0.2b

Counts

130 → 6

Compiler

Compiled 2134 to 760 computations (64.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
1.2b	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
2.0b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite239.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`associate-/r/_binary64_24` `prod-exp_binary64_127`
7×	`distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112` `associate-/l*_binary64_23` `unswap-sqr_binary64_46`
4×	`div-inv_binary64_75` `cbrt-unprod_binary64_111`
3×	`add-log-exp_binary64_117` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152`

Counts

3 → 150

Calls

3 calls:

35.0ms	(*.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))

Compiler

Compiled 3400 to 1697 computations (50.1% saved)

series554.0ms (6.6%)

Error

Counts

3 → 51

Calls

3 calls:

244.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
192.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
66.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 2304 to 1668 computations (27.6% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5043	3483

prune188.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	201	6	207

Error

0.2b

Counts

207 → 6

Compiler

Compiled 3766 to 1693 computations (55% saved)

regimes483.0ms (5.7%)

Accuracy

Total 1.3b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4650 to 3250 computations (30.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.9s (22%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
15.0ms	277×	body	128	invalid

Compiler

Compiled 1179 to 825 computations (30% saved)

Details

analyze492.0ms (5.8%)

sample21.0ms (0.2%)

simplify231.0ms (2.7%)

prune12.0ms (0.1%)

localize15.0ms (0.2%)

rewrite307.0ms (3.6%)

series410.0ms (4.9%)

simplify120.0ms (1.4%)

prune255.0ms (3%)

localize14.0ms (0.2%)

rewrite402.0ms (4.8%)

series1.4s (16.7%)

simplify154.0ms (1.8%)

prune391.0ms (4.6%)

localize9.0ms (0.1%)

rewrite134.0ms (1.6%)

series472.0ms (5.6%)

simplify76.0ms (0.9%)

prune93.0ms (1.1%)

localize11.0ms (0.1%)

rewrite239.0ms (2.8%)

series554.0ms (6.6%)

simplify89.0ms (1.1%)

prune188.0ms (2.2%)

regimes483.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (22%)

Profiling