Details

analyze342.0ms (5.6%)

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)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify257.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4793	25
1	4793	25

prune6.0ms (0.1%)

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 92 to 84 computations (8.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
4.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite272.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

577×	`times-frac_binary64_85`
476×	`*-un-lft-identity_binary64_79`
316×	`add-sqr-sqrt_binary64_101`
284×	`cancel-sign-sub-inv_binary64_45`
260×	`add-cube-cbrt_binary64_114`
132×	`distribute-lft-out_binary64_30`
97×	`div-inv_binary64_76`
72×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
18×	`difference-of-squares_binary64_48`
13×	`associate-/l*_binary64_24`
11×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
10×	`associate-/r/_binary64_25`
9×	`swap-sqr_binary64_46`
8×	`distribute-lft-out--_binary64_31` `flip--_binary64_54` `add-log-exp_binary64_118` `flip3--_binary64_83`
7×	`associate-l_binary64_20` `associate-r_binary64_19`
5×	`associate-/r*_binary64_23` `flip-+_binary64_53` `flip3-+_binary64_82`
4×	`frac-times_binary64_89` `sub-neg_binary64_72`
3×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`associate-l/_binary64_22` `associate-r/_binary64_21` `diff-log_binary64_171`
1×	`pow-prod-up_binary64_149` `unswap-sqr_binary64_47` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-sqr_binary64_52` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `clear-num_binary64_78` `associate-/l/_binary64_26` `pow-plus_binary64_142` `frac-2neg_binary64_90` `pow2_binary64_160`

Counts

4 → 463

Calls

4 calls:

82.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
40.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
14.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

series107.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
26.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
21.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

simplify172.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5248	19845

prune2.4s (39.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	474	1	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	1	476

Merged error: 0.0b

Counts

476 → 1

Compiler

Compiled 20638 to 17282 computations (16.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))
0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
4.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite166.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

247×	`times-frac_binary64_85`
213×	`*-un-lft-identity_binary64_79`
138×	`add-sqr-sqrt_binary64_101`
120×	`add-cube-cbrt_binary64_114`
71×	`cancel-sign-sub-inv_binary64_45`
58×	`distribute-lft-out_binary64_30`
41×	`div-inv_binary64_76`
16×	`associate-/l*_binary64_24`
14×	`add-exp-log_binary64_117`
11×	`add-cbrt-cube_binary64_115`
9×	`associate-/r*_binary64_23`
7×	`unpow-prod-down_binary64_158`
6×	`associate-/r/_binary64_25` `difference-of-squares_binary64_48` `add-log-exp_binary64_118` `pow1_binary64_140`
5×	`div-exp_binary64_130`
4×	`cbrt-undiv_binary64_113`
3×	`pow-unpow_binary64_156` `flip-+_binary64_53` `flip3-+_binary64_82`
2×	`distribute-lft-out--_binary64_31` `clear-num_binary64_78` `frac-2neg_binary64_90`
1×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `unpow2_binary64_144` `sqr-pow_binary64_51` `1-exp_binary64_123` `pow-pow_binary64_151` `rec-exp_binary64_129` `flip--_binary64_54` `inv-pow_binary64_164` `diff-log_binary64_171` `flip3--_binary64_83` `associate-/l/_binary64_26` `sub-neg_binary64_72` `pow-flip_binary64_153`

Counts

4 → 245

Calls

4 calls:

44.0ms	(/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))
39.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
34.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
14.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

series137.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))
32.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
27.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify107.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4931	5813
1	4931	5813

prune508.0ms (8.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	1	258

Merged error: 0b

Counts

258 → 1

Compiler

Compiled 6767 to 5905 computations (12.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
0.0b	(pow.f64 (-.f64 2 (/.f64 2 (+.f64 t 1))) 4)
3.8b	(-.f64 2 (/.f64 2 (+.f64 t 1)))
4.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite123.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`times-frac_binary64_85`
118×	`*-un-lft-identity_binary64_79`
93×	`add-sqr-sqrt_binary64_101`
89×	`cancel-sign-sub-inv_binary64_45`
65×	`add-cube-cbrt_binary64_114`
29×	`distribute-lft-out_binary64_30`
20×	`div-inv_binary64_76`
13×	`unpow-prod-down_binary64_158`
10×	`difference-of-squares_binary64_48`
8×	`add-log-exp_binary64_118`
6×	`add-exp-log_binary64_117` `pow-unpow_binary64_156` `pow1_binary64_140`
4×	`add-cbrt-cube_binary64_115` `distribute-lft-out--_binary64_31` `associate-/r/_binary64_25`
2×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `flip-+_binary64_53` `sqr-pow_binary64_51` `pow-pow_binary64_151` `flip--_binary64_54` `diff-log_binary64_171` `flip3--_binary64_83` `flip3-+_binary64_82` `sub-neg_binary64_72`
1×	`unpow2_binary64_144`

Counts

4 → 160

Calls

4 calls:

36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
16.0ms	(pow.f64 (-.f64 2 (/.f64 2 (+.f64 t 1))) 4)
13.0ms	(-.f64 2 (/.f64 2 (+.f64 t 1)))

series107.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
29.0ms	(pow.f64 (-.f64 2 (/.f64 2 (+.f64 t 1))) 4)
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
20.0ms	(-.f64 2 (/.f64 2 (+.f64 t 1)))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5019	3809

prune421.0ms (6.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	1	173

Merged error: 0b

Counts

173 → 1

Compiler

Compiled 6497 to 5727 computations (11.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	186	46
1	186	46

end0.0ms (0%)

sample791.0ms (13%)

Algorithm

1×

intervals

Results

567.0ms

8000×

body

128

valid

Compiler

Compiled 92 to 86 computations (6.5% saved)

Details

analyze342.0ms (5.6%)

sample24.0ms (0.4%)

simplify257.0ms (4.2%)

prune6.0ms (0.1%)

localize12.0ms (0.2%)

rewrite272.0ms (4.5%)

series107.0ms (1.8%)

simplify172.0ms (2.8%)

prune2.4s (39.6%)

localize12.0ms (0.2%)

rewrite166.0ms (2.7%)

series137.0ms (2.3%)

simplify107.0ms (1.8%)

prune508.0ms (8.4%)

localize19.0ms (0.3%)

rewrite123.0ms (2%)

series107.0ms (1.8%)

simplify85.0ms (1.4%)

prune421.0ms (6.9%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample791.0ms (13%)

Profiling