Details

analyze488.0ms (4.1%)

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 (0.2%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify149.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 46 to 42 computations (8.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite218.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

467×	`times-frac_binary64_84`
386×	`*-un-lft-identity_binary64_78`
284×	`cancel-sign-sub-inv_binary64_44`
268×	`add-sqr-sqrt_binary64_100`
212×	`add-cube-cbrt_binary64_113`
104×	`distribute-lft-out_binary64_29`
77×	`div-inv_binary64_75`
72×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28`
18×	`difference-of-squares_binary64_47`
12×	`pow1_binary64_139`
10×	`add-exp-log_binary64_116` `associate-/r/_binary64_24`
9×	`swap-sqr_binary64_45`
8×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `flip--_binary64_53`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
5×	`flip-+_binary64_52` `flip3-+_binary64_81`
4×	`frac-times_binary64_88` `sub-neg_binary64_71`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `diff-log_binary64_170` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `pow-sqr_binary64_51` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `inv-pow_binary64_163` `frac-2neg_binary64_89` `1-exp_binary64_122` `pow-flip_binary64_152` `pow-prod-up_binary64_148` `rec-exp_binary64_128` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `pow-plus_binary64_141`

Counts

4 → 396

Calls

4 calls:

73.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
32.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
5.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

series79.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
20.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

408 → 408

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5241	19015

prune1.8s (15.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	2	409

Merged error: 0b

Counts

409 → 2

Compiler

Compiled 18286 to 15356 computations (16% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite214.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

452×	`times-frac_binary64_84`
364×	`*-un-lft-identity_binary64_78`
284×	`cancel-sign-sub-inv_binary64_44`
236×	`add-sqr-sqrt_binary64_100`
200×	`add-cube-cbrt_binary64_113`
104×	`distribute-lft-out_binary64_29`
76×	`div-inv_binary64_75`
12×	`add-log-exp_binary64_117` `difference-of-squares_binary64_47`
8×	`associate-/r/_binary64_24`
4×	`add-cbrt-cube_binary64_114` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `add-exp-log_binary64_116` `sub-neg_binary64_71` `pow1_binary64_139` `flip3-+_binary64_81`

Counts

4 → 344

Calls

4 calls:

37.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series50.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5172	9088

prune2.6s (21.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	356	2	358

Merged error: 0b

Counts

358 → 2

Compiler

Compiled 22712 to 19114 computations (15.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite234.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

452×	`times-frac_binary64_84`
364×	`*-un-lft-identity_binary64_78`
284×	`cancel-sign-sub-inv_binary64_44`
236×	`add-sqr-sqrt_binary64_100`
200×	`add-cube-cbrt_binary64_113`
104×	`distribute-lft-out_binary64_29`
76×	`div-inv_binary64_75`
12×	`add-log-exp_binary64_117` `difference-of-squares_binary64_47`
8×	`associate-/r/_binary64_24`
4×	`add-cbrt-cube_binary64_114` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `add-exp-log_binary64_116` `sub-neg_binary64_71` `pow1_binary64_139` `flip3-+_binary64_81`

Counts

4 → 344

Calls

4 calls:

36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series51.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5172	9088

prune3.9s (32.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	356	2	358

Merged error: 0b

Counts

358 → 2

Compiler

Compiled 32596 to 27585 computations (15.4% saved)

regimes389.0ms (3.3%)

Compiler: Compiled 6119 to 5409 computations (11.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	61
1	124	61

end0.0ms (0%)

sample1.2s (10.3%)

Algorithm

1×

intervals

Results

569.0ms

8000×

body

128

valid

Compiler

Compiled 651 to 577 computations (11.4% saved)

Details

analyze488.0ms (4.1%)

sample26.0ms (0.2%)

simplify149.0ms (1.3%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite218.0ms (1.8%)

series79.0ms (0.7%)

simplify161.0ms (1.4%)

prune1.8s (15.2%)

localize16.0ms (0.1%)

rewrite214.0ms (1.8%)

series50.0ms (0.4%)

simplify109.0ms (0.9%)

prune2.6s (21.8%)

localize20.0ms (0.2%)

rewrite234.0ms (2%)

series51.0ms (0.4%)

simplify110.0ms (0.9%)

prune3.9s (32.9%)

regimes389.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.2s (10.3%)

Profiling