Details

analyze341.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify164.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune5.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 63 to 58 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite92.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64_78`
56×	`times-frac_binary64_84`
51×	`add-sqr-sqrt_binary64_100`
40×	`add-cube-cbrt_binary64_113`
21×	`distribute-lft-out_binary64_29`
18×	`cancel-sign-sub-inv_binary64_44`
12×	`associate-/r*_binary64_22` `add-exp-log_binary64_116`
10×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23`
8×	`associate-/r/_binary64_24`
6×	`add-log-exp_binary64_117` `difference-of-squares_binary64_47`
5×	`flip-+_binary64_52` `div-inv_binary64_75` `pow1_binary64_139` `flip3-+_binary64_81`
4×	`div-exp_binary64_129`
3×	`cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77`
2×	`distribute-lft-out--_binary64_30` `associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip3--_binary64_82` `diff-log_binary64_170` `1-exp_binary64_122` `pow-flip_binary64_152` `flip--_binary64_53` `rec-exp_binary64_128` `sub-neg_binary64_71`

Counts

4 → 147

Calls

4 calls:

32.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
23.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
6.0ms	(/.f64 4 (+.f64 1 t))

series78.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
21.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
20.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
9.0ms	(/.f64 4 (+.f64 1 t))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5095	3918

prune253.0ms (5.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 3991 to 3499 computations (12.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite106.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`*-un-lft-identity_binary64_78`
63×	`add-sqr-sqrt_binary64_100`
60×	`times-frac_binary64_84`
41×	`add-cube-cbrt_binary64_113`
36×	`cancel-sign-sub-inv_binary64_44`
22×	`log-prod_binary64_164`
20×	`distribute-lft-out_binary64_29`
19×	`exp-sum_binary64_124`
12×	`difference-of-squares_binary64_47` `log-pow_binary64_167`
11×	`exp-prod_binary64_130`
8×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22` `add-exp-log_binary64_116` `associate-/r/_binary64_24`
7×	`associate-/l*_binary64_23`
6×	`add-log-exp_binary64_117` `div-inv_binary64_75`
5×	`flip-+_binary64_52` `pow1_binary64_139` `flip3-+_binary64_81`
4×	`distribute-lft-out--_binary64_30`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `sub-neg_binary64_71`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `exp-diff_binary64_126` `rem-log-exp_binary64_119` `log-div_binary64_165`

Counts

4 → 153

Calls

4 calls:

39.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
29.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
16.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
6.0ms	(/.f64 4 (+.f64 1 t))

series91.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
23.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
14.0ms	(/.f64 4 (+.f64 1 t))

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5012	4045

prune281.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	165	2	167

Error

Counts

167 → 2

Compiler

Compiled 4311 to 3810 computations (11.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
3.1b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.1b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite155.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

464×	`times-frac_binary64_84`
380×	`*-un-lft-identity_binary64_78`
232×	`add-sqr-sqrt_binary64_100`
214×	`add-cube-cbrt_binary64_113`
142×	`cancel-sign-sub-inv_binary64_44`
108×	`distribute-lft-out_binary64_29`
80×	`div-inv_binary64_75`
26×	`associate-/l*_binary64_23`
14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
10×	`associate-/r*_binary64_22`
8×	`add-log-exp_binary64_117` `associate-/r/_binary64_24`
6×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `difference-of-squares_binary64_47`
4×	`flip-+_binary64_52` `pow1_binary64_139` `flip3-+_binary64_81`
2×	`distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `associate-/l/_binary64_25` `sub-neg_binary64_71`

Counts

4 → 372

Calls

4 calls:

37.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
12.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

series51.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
12.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
11.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

simplify154.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

384 → 384

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4964	8564
1	4964	8564

prune1.2s (27.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	384	0	384
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	384	2	386

Error

Counts

386 → 2

Compiler

Compiled 13746 to 11557 computations (15.9% saved)

regimes146.0ms (3.4%)

Accuracy

Total 0.0b remaining (95.5%)

Threshold costs 0.0b (95.5%)

Compiler

Compiled 1300 to 1160 computations (10.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	29
1	39	29

end0.0ms (0%)

sample899.0ms (21%)

Algorithm

1×

intervals

Results

557.0ms

8000×

body

128

valid

Compiler

Compiled 199 to 180 computations (9.5% saved)

Details

analyze341.0ms (8%)

sample26.0ms (0.6%)

simplify164.0ms (3.8%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite92.0ms (2.1%)

series78.0ms (1.8%)

simplify99.0ms (2.3%)

prune253.0ms (5.9%)

localize12.0ms (0.3%)

rewrite106.0ms (2.5%)

series91.0ms (2.1%)

simplify106.0ms (2.5%)

prune281.0ms (6.6%)

localize12.0ms (0.3%)

rewrite155.0ms (3.6%)

series51.0ms (1.2%)

simplify154.0ms (3.6%)

prune1.2s (27.9%)

regimes146.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample899.0ms (21%)

Profiling