Details

analyze349.0ms (5.9%)

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify247.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4793	25
1	4793	25

prune7.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 109 to 100 computations (8.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite264.0ms (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)))

series114.0ms (1.9%)

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)))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
21.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

simplify177.0ms (3%)

Algorithm

1×	egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5248	19845

prune2.0s (34.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	474	1	475
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	475	2	477

Merged error: 0b

Counts

477 → 2

Compiler

Compiled 20832 to 17459 computations (16.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)))
0.1b	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)
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))))

rewrite246.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

241×	`times-frac_binary64_85`
202×	`*-un-lft-identity_binary64_79`
182×	`add-sqr-sqrt_binary64_101`
142×	`cancel-sign-sub-inv_binary64_45`
110×	`add-cube-cbrt_binary64_114`
52×	`distribute-lft-out_binary64_30`
38×	`div-inv_binary64_76`
24×	`cbrt-prod_binary64_110`
23×	`associate-r_binary64_19`
21×	`difference-of-squares_binary64_48`
15×	`unpow-prod-down_binary64_158` `cube-prod_binary64_107`
9×	`flip--_binary64_54` `flip3--_binary64_83`
8×	`cube-div_binary64_108` `add-log-exp_binary64_118`
7×	`add-exp-log_binary64_117` `associate-l_binary64_20` `distribute-lft-out--_binary64_31` `pow1_binary64_140`
6×	`add-cbrt-cube_binary64_115` `cbrt-div_binary64_111`
5×	`unswap-sqr_binary64_47`
4×	`frac-times_binary64_89` `associate-/r/_binary64_25`
3×	`pow-unpow_binary64_156` `sqr-pow_binary64_51`
2×	`flip-+_binary64_53` `associate-l/_binary64_22` `cube-mult_binary64_109` `associate-r/_binary64_21` `diff-log_binary64_171` `flip3-+_binary64_82` `sub-neg_binary64_72` `unpow3_binary64_145`
1×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `pow-pow_binary64_151` `rem-cube-cbrt_binary64_102` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-prod-down_binary64_150`

Counts

4 → 259

Calls

4 calls:

82.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)))
40.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
37.0ms	(-.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)))) 3)

series125.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)
36.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)))
28.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5308	7566

prune864.0ms (14.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	271	2	273

Merged error: 0b

Counts

273 → 2

Compiler

Compiled 10895 to 9317 computations (14.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite87.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_79`
44×	`times-frac_binary64_85`
42×	`add-sqr-sqrt_binary64_101`
31×	`add-cube-cbrt_binary64_114`
18×	`cancel-sign-sub-inv_binary64_45` `distribute-lft-out_binary64_30`
8×	`associate-/r*_binary64_23` `add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-log-exp_binary64_118`
7×	`associate-/l*_binary64_24`
6×	`associate-/r/_binary64_25` `difference-of-squares_binary64_48`
5×	`flip-+_binary64_53` `flip3-+_binary64_82`
4×	`div-inv_binary64_76` `pow1_binary64_140`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `distribute-lft-out--_binary64_31` `clear-num_binary64_78` `associate-/l/_binary64_26` `frac-2neg_binary64_90`
1×	`sum-log_binary64_170` `+-commutative_binary64_9` `flip--_binary64_54` `diff-log_binary64_171` `flip3--_binary64_83` `sub-neg_binary64_72`

Counts

4 → 122

Calls

4 calls:

38.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
19.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
12.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
6.0ms	(/.f64 4 (+.f64 1 t))

series112.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
34.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 4 (+.f64 1 t))
16.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4862	3016
1	4862	3016

prune201.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 2

Compiler

Compiled 3419 to 2996 computations (12.4% saved)

regimes30.0ms (0.5%)

Compiler: Compiled 189 to 173 computations (8.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms (0%)

sample788.0ms (13.3%)

Algorithm

1×

intervals

Results

568.0ms

8000×

body

128

valid

Compiler

Compiled 96 to 89 computations (7.3% saved)

Details

analyze349.0ms (5.9%)

sample25.0ms (0.4%)

simplify247.0ms (4.2%)

prune7.0ms (0.1%)

localize12.0ms (0.2%)

rewrite264.0ms (4.5%)

series114.0ms (1.9%)

simplify177.0ms (3%)

prune2.0s (34.6%)

localize14.0ms (0.2%)

rewrite246.0ms (4.2%)

series125.0ms (2.1%)

simplify108.0ms (1.8%)

prune864.0ms (14.6%)

localize10.0ms (0.2%)

rewrite87.0ms (1.5%)

series112.0ms (1.9%)

simplify87.0ms (1.5%)

prune201.0ms (3.4%)

regimes30.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample788.0ms (13.3%)

Profiling