Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify226.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4918	40
1	4918	40

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 89 to 72 computations (19.1% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite77.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
56×	`*-un-lft-identity_binary64_78`
49×	`times-frac_binary64_84`
32×	`add-sqr-sqrt_binary64_100`
30×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
28×	`add-cube-cbrt_binary64_113`
25×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
24×	`swap-sqr_binary64_45`
20×	`associate-l_binary64_19` `associate-r_binary64_18`
18×	`associate-/r/_binary64_24` `pow1_binary64_139`
12×	`distribute-lft-out_binary64_29`
11×	`flip-+_binary64_52` `flip3-+_binary64_81`
9×	`div-inv_binary64_75`
6×	`add-log-exp_binary64_117`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`pow2_binary64_159` `-commutative_binary64_9` `pow-sqr_binary64_51` `frac-times_binary64_88` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `associate-*r/_binary64_20` `pow-plus_binary64_141` `associate-/l/_binary64_25`
1×	`+-commutative_binary64_8` `frac-2neg_binary64_89` `clear-num_binary64_77` `sum-log_binary64_169`

Counts

4 → 176

Calls

8 calls:

17.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
17.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
9.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
4.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))

series156.0ms (2.9%)

Counts

4 → 36

Calls

4 calls:

50.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
36.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
35.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
35.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

Compiler

Compiled 994 to 858 computations (13.7% saved)

simplify109.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4965	4594
1	4965	4594

prune515.0ms (9.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	211	3	214

Error

Counts

214 → 3

Compiler

Compiled 7518 to 5943 computations (20.9% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.0b	(/.f64 (+.f64 1 (.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))) (+.f64 2 (.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))))
0.0b	(+.f64 2 (*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))))
0.0b	(+.f64 1 (*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))))
0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))

rewrite79.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_78`
74×	`times-frac_binary64_84`
70×	`distribute-lft-out_binary64_29`
58×	`add-sqr-sqrt_binary64_100`
48×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18`
18×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
12×	`associate-/r*_binary64_22`
8×	`associate-/r/_binary64_24` `pow1_binary64_139`
6×	`associate-l_binary64_19` `associate-/l*_binary64_23`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip-+_binary64_52` `unswap-sqr_binary64_46` `flip3-+_binary64_81`
2×	`-commutative_binary64_9` `frac-2neg_binary64_89` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `clear-num_binary64_77`

Counts

4 → 168

Calls

8 calls:

20.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
17.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
11.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
11.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.0ms	(+.f64 1 (*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))))

series137.0ms (2.6%)

Counts

4 → 36

Calls

4 calls:

38.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
34.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
32.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
31.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

Compiler

Compiled 1184 to 1008 computations (14.9% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5151	3416

prune384.0ms (7.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	204	3	207

Error

Counts

207 → 3

Compiler

Compiled 6766 to 5320 computations (21.4% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1)))
0.0b	(sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1)))
0.0b	(/.f64 (*.f64 2 t) (+.f64 t 1))
0.0b	(/.f64 (*.f64 2 t) (+.f64 t 1))
0.0b	(-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
0.0b	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)))
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

rewrite86.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

167×	`add-sqr-sqrt_binary64_100`
78×	`*-un-lft-identity_binary64_78`
77×	`unpow-prod-down_binary64_157`
76×	`times-frac_binary64_84` `difference-of-squares_binary64_47`
49×	`sqrt-prod_binary64_94`
34×	`add-cube-cbrt_binary64_113`
22×	`sqr-pow_binary64_50`
19×	`distribute-lft-out--_binary64_30`
17×	`cancel-sign-sub-inv_binary64_44`
8×	`associate-/l_binary64_23` `associate-/r_binary64_22` `add-exp-log_binary64_116` `associate-/r/_binary64_24` `pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow-pow_binary64_150` `pow-unpow_binary64_155`
4×	`div-inv_binary64_75`
3×	`flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
2×	`sqrt-pow2_binary64_97` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `sqrt-pow1_binary64_96` `associate-/l/_binary64_25` `pow1/2_binary64_158`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `diff-log_binary64_170` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-sub_binary64_83` `sub-neg_binary64_71`

Counts

4 → 190

Calls

8 calls:

28.0ms	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)))
16.0ms	(-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
8.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
8.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
0.0ms	(/.f64 (*.f64 2 t) (+.f64 t 1))

series936.0ms (17.6%)

Counts

4 → 36

Calls

4 calls:

647.0ms	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 2 t) (+.f64 t 1))) 4)))
103.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
98.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
88.0ms	(-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))

Compiler

Compiled 2433 to 2291 computations (5.8% saved)

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4777	8659
1	4777	8659

prune545.0ms (10.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	226	3	229

Error

Counts

229 → 3

Compiler

Compiled 8104 to 6730 computations (17% saved)

localize3.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2/9 t)
0.0b	(-.f64 5/6 (/.f64 2/9 t))
0.0b	(-.f64 5/6 (/.f64 2/9 t))
0.3b	(/.f64 2/9 t)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
19×	`times-frac_binary64_84` `*-un-lft-identity_binary64_78`
17×	`add-cube-cbrt_binary64_113`
13×	`cancel-sign-sub-inv_binary64_44`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`div-inv_binary64_75` `difference-of-squares_binary64_47` `pow1_binary64_139`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `sub-neg_binary64_71`

Counts

2 → 54

Calls

4 calls:

8.0ms	(-.f64 5/6 (/.f64 2/9 t))
3.0ms	(/.f64 2/9 t)
0.0ms	(-.f64 5/6 (/.f64 2/9 t))
0.0ms	(/.f64 2/9 t)

series41.0ms (0.8%)

Counts

2 → 9

Calls

2 calls:

23.0ms	(-.f64 5/6 (/.f64 2/9 t))
17.0ms	(/.f64 2/9 t)

Compiler

Compiled 77 to 79 computations (-2.6% saved)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5230	519

prune39.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 516 to 413 computations (20% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	204	667
1	204	667

regimes206.0ms (3.9%)

Compiler: Compiled 2445 to 2071 computations (15.3% saved)

bsearch0.0ms (0%)

regimes111.0ms (2.1%)

Compiler: Compiled 402 to 366 computations (9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes22.0ms (0.4%)

Compiler: Compiled 7 to 12 computations (-71.4% saved)

bsearch52.0ms (1%)

Steps

Iters	Range		Point
10	8.563846972629209e-15	16.74594831582501	1.000165277867602
10	-473241.7642461704	-5.951769635984181e-14	-0.3261654012971321

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.2%)

Compiler: Compiled 6 to 10 computations (-66.7% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.2%)

Accuracy

Total 0.0b remaining (63.4%)

Threshold costs 0.0b (63.4%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 56 to 50 computations (10.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	80
1	53	80

end0.0ms (0%)

sample1.2s (22.7%)

Algorithm

1×

intervals

Results

595.0ms

8000×

body

128

valid

Compiler

Compiled 540 to 459 computations (15% saved)

Pareto

0.587684331922993

Details

analyze5.0ms (0.1%)

sample28.0ms (0.5%)

simplify226.0ms (4.3%)

prune7.0ms (0.1%)

localize10.0ms (0.2%)

rewrite77.0ms (1.4%)

series156.0ms (2.9%)

simplify109.0ms (2.1%)

prune515.0ms (9.7%)

localize11.0ms (0.2%)

rewrite79.0ms (1.5%)

series137.0ms (2.6%)

simplify67.0ms (1.3%)

prune384.0ms (7.2%)

localize12.0ms (0.2%)

rewrite86.0ms (1.6%)

series936.0ms (17.6%)

simplify133.0ms (2.5%)

prune545.0ms (10.3%)

localize3.0ms (0.1%)

rewrite14.0ms (0.3%)

series41.0ms (0.8%)

simplify56.0ms (1.1%)

prune39.0ms (0.7%)

simplify11.0ms (0.2%)

regimes206.0ms (3.9%)

bsearch0.0ms (0%)

regimes111.0ms (2.1%)

bsearch1.0ms (0%)

regimes22.0ms (0.4%)

bsearch52.0ms (1%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

regimes10.0ms (0.2%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (22.7%)

Profiling