Details

analyze654.0ms (8.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune4.0ms (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

5.5b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.8b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.8b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

234×	`times-frac_binary64_15770`
161×	`add-sqr-sqrt_binary64_15786`
152×	`*-un-lft-identity_binary64_15764`
110×	`add-cube-cbrt_binary64_15799`
67×	`associate-r_binary64_15704`
21×	`distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733` `associate-/l*_binary64_15709`
16×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
14×	`associate-/r/_binary64_15710`
9×	`div-inv_binary64_15761`
7×	`flip--_binary64_15739` `flip3--_binary64_15768`
6×	`cbrt-undiv_binary64_15798` `div-exp_binary64_15815`
4×	`pow1_binary64_15825`
3×	`cbrt-unprod_binary64_15797` `associate-l_binary64_15705` `associate-/r*_binary64_15708` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732`
2×	`add-log-exp_binary64_15803`
1×	`associate-r/_binary64_15706` `frac-2neg_binary64_15775` `associate-/l/_binary64_15711` `clear-num_binary64_15763` `-commutative_binary64_15695` `pow-prod-down_binary64_15835`

Counts

2 → 191

Calls

4 calls:

29.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
0.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
0.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series345.0ms (4.5%)

Counts

2 → 36

Calls

2 calls:

226.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
119.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)

Compiler

Compiled 950 to 835 computations (12.1% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5421	4555

prune249.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	221	6	227
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	221	8	229

Error

Counts

229 → 8

Compiler

Compiled 4327 to 1980 computations (54.2% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.3b	(/.f64 2 (cbrt.f64 (-.f64 y t)))
0.2b	(/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z)
0.2b	(/.f64 x (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
4.9b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

rewrite119.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

179×	`times-frac_binary64_15770`
156×	`add-sqr-sqrt_binary64_15786`
128×	`*-un-lft-identity_binary64_15764`
102×	`associate-r_binary64_15704`
92×	`add-cube-cbrt_binary64_15799`
85×	`cbrt-prod_binary64_15795`
42×	`add-exp-log_binary64_15802`
34×	`cbrt-div_binary64_15796`
31×	`add-cbrt-cube_binary64_15800`
23×	`associate-l_binary64_15705`
17×	`distribute-lft-out--_binary64_15716` `flip--_binary64_15739` `flip3--_binary64_15768`
15×	`cbrt-undiv_binary64_15798` `difference-of-squares_binary64_15733` `div-exp_binary64_15815`
14×	`associate-/r/_binary64_15710`
13×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `pow1_binary64_15825`
12×	`unswap-sqr_binary64_15732`
10×	`swap-sqr_binary64_15731`
9×	`frac-times_binary64_15774`
8×	`pow1/3_binary64_15846`
5×	`associate-l/_binary64_15707` `associate-r/_binary64_15706` `div-inv_binary64_15761`
4×	`add-log-exp_binary64_15803`
3×	`pow-prod-down_binary64_15835`
2×	`pow-sqr_binary64_15737` `*-commutative_binary64_15695` `pow-prod-up_binary64_15834`
1×	`pow2_binary64_15845` `pow-plus_binary64_15827`

Counts

4 → 233

Calls

8 calls:

61.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))
12.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
0.0ms	(/.f64 x (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))

series732.0ms (9.6%)

Counts

4 → 62

Calls

4 calls:

279.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))
186.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
136.0ms	(cbrt.f64 (-.f64 y t))
131.0ms	(cbrt.f64 (-.f64 y t))

Compiler

Compiled 2668 to 2243 computations (15.9% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4975	7779
1	4975	7779

prune323.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	294	1	295
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	295	8	303

Error

Counts

303 → 8

Compiler

Compiled 8380 to 2740 computations (67.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.8b	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))
0.4b	(-.f64 (.f64 y z) (.f64 t z))
0.4b	(-.f64 (.f64 y z) (.f64 t z))
5.8b	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
4×	`add-log-exp_binary64_15803` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `times-frac_binary64_15770` `associate-/r_binary64_15708` `-un-lft-identity_binary64_15764`
3×	`distribute-rgt-out--_binary64_15718`
2×	`cbrt-undiv_binary64_15798` `flip--_binary64_15739` `flip3--_binary64_15768` `pow1_binary64_15825` `div-exp_binary64_15815` `associate-/r/_binary64_15710`
1×	`sub-neg_binary64_15757` `div-inv_binary64_15761` `cbrt-unprod_binary64_15797` `frac-2neg_binary64_15775` `prod-exp_binary64_15813` `clear-num_binary64_15763` `associate-/l*_binary64_15709` `cancel-sign-sub-inv_binary64_15730` `diff-log_binary64_15856`

Counts

2 → 38

Calls

4 calls:

7.0ms	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))
4.0ms	(-.f64 (.f64 y z) (.f64 t z))
0.0ms	(-.f64 (.f64 y z) (.f64 t z))
0.0ms	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))

series342.0ms (4.5%)

Counts

2 → 33

Calls

2 calls:

238.0ms	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))
104.0ms	(-.f64 (.f64 y z) (.f64 t z))

Compiler

Compiled 757 to 679 computations (10.3% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4998	977
1	4998	977

prune51.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Error

Counts

79 → 6

Compiler

Compiled 954 to 355 computations (62.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.2b	(/.f64 (*.f64 2 (/.f64 x z)) (-.f64 y t))
5.2b	(/.f64 (*.f64 2 (/.f64 x z)) (-.f64 y t))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
7×	`add-sqr-sqrt_binary64_15786` `*-un-lft-identity_binary64_15764`
5×	`times-frac_binary64_15770` `associate-/r*_binary64_15708`
4×	`cbrt-undiv_binary64_15798` `div-exp_binary64_15815`
3×	`add-cube-cbrt_binary64_15799`
2×	`distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `associate-/r/_binary64_15710`
1×	`add-log-exp_binary64_15803` `associate-r/_binary64_15706` `div-inv_binary64_15761` `frac-2neg_binary64_15775` `flip--_binary64_15739` `associate-/l/_binary64_15711` `clear-num_binary64_15763` `associate-/l_binary64_15709` `flip3--_binary64_15768` `pow1_binary64_15825`

Counts

1 → 30

Calls

2 calls:

9.0ms	(/.f64 (*.f64 2 (/.f64 x z)) (-.f64 y t))
0.0ms	(/.f64 (*.f64 2 (/.f64 x z)) (-.f64 y t))

series222.0ms (2.9%)

Counts

1 → 18

Calls

1 calls:

222.0ms

(/.f64 (*.f64 2 (/.f64 x z)) (-.f64 y t))

Compiler

Compiled 515 to 445 computations (13.6% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4981	785
1	4981	785

prune32.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	48	6	54

Error

Counts

54 → 6

Compiler

Compiled 626 to 239 computations (61.8% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	250	950
1	250	950

regimes878.0ms (11.5%)

Compiler: Compiled 4467 to 3812 computations (14.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

regimes174.0ms (2.3%)

Compiler: Compiled 472 to 560 computations (-18.6% saved)

bsearch45.0ms (0.6%)

Steps

Iters	Range		Point
8	-0.007448591090920801	-1.539835620977679e-06	-8.255599306617066e-05
9	-2.697055288058723e+282	-1.921223899869849e+276	-2.650706949139362e+282

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes149.0ms (1.9%)

Compiler: Compiled 348 to 436 computations (-25.3% saved)

bsearch38.0ms (0.5%)

Steps

Iters	Range		Point
7	-1.3308279202424113e+22	-1.8920256090872585e+20	-4.376192776233886e+21
9	-2.697055288058723e+282	-1.921223899869849e+276	-2.3016920786405033e+282

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes120.0ms (1.6%)

Compiler: Compiled 240 to 328 computations (-36.7% saved)

bsearch38.0ms (0.5%)

Steps

Iters	Range		Point
7	-1.3308279202424113e+22	-1.8920256090872585e+20	-7.872796892558766e+21
9	-2.697055288058723e+282	-1.921223899869849e+276	-2.1162987229630576e+282

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes102.0ms (1.3%)

Compiler: Compiled 204 to 292 computations (-43.1% saved)

bsearch58.0ms (0.8%)

Steps

Iters	Range		Point
7	3.8216558309814686e-32	2.905689432810876e-30	6.525603238109337e-31
9	-9.834756802421288e+89	-6.621285493300705e+81	-6.722019486651217e+81
9	-2.697055288058723e+282	-1.921223899869849e+276	-1.8246519112199278e+279

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes58.0ms (0.8%)

Compiler: Compiled 168 to 256 computations (-52.4% saved)

bsearch0.0ms (0%)

regimes183.0ms (2.4%)

Compiler: Compiled 132 to 220 computations (-66.7% saved)

bsearch31.0ms (0.4%)

Steps

Iters	Range		Point
6	5.406122456599595e+101	2.408733016327644e+102	5.546837376841236e+101
9	-0.13209846200907557	-3.6883240493661203e-09	-6.844346981378409e-09

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes172.0ms (2.2%)

Compiler: Compiled 104 to 188 computations (-80.8% saved)

bsearch33.0ms (0.4%)

Steps

Iters	Range		Point
6	5.406122456599595e+101	2.408733016327644e+102	6.807652153826621e+101
9	-0.13209846200907557	-3.6883240493661203e-09	-7.817442964121258e-06

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes151.0ms (2%)

Compiler: Compiled 76 to 156 computations (-105.3% saved)

bsearch34.0ms (0.4%)

Steps

Iters	Range		Point
6	5.406122456599595e+101	2.408733016327644e+102	5.4530274300134754e+101
9	-0.13209846200907557	-3.6883240493661203e-09	-4.107499111857196e-09

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes81.0ms (1.1%)

Compiler: Compiled 48 to 124 computations (-158.3% saved)

bsearch35.0ms (0.5%)

Steps

Iters	Range		Point
10	1.3847693253294955e+45	1.3216274875349856e+55	1.3017903339152738e+55
8	-5.806047893877463e+126	-9.049895593888806e+121	-2.2242329676982045e+123

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes37.0ms (0.5%)

Accuracy

Total 0.6b remaining (99.8%)

Threshold costs 0.6b (99.8%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch16.0ms (0.2%)

Compiler: Compiled 357 to 231 computations (35.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	173	444
1	173	444

end0.0ms (0%)

sample1.5s (19.5%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
25.0ms	699×	body	128	invalid

Compiler

Compiled 986 to 775 computations (21.4% saved)

Pareto

0.6921717324113746

Details

analyze654.0ms (8.6%)

sample25.0ms (0.3%)

simplify167.0ms (2.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite61.0ms (0.8%)

series345.0ms (4.5%)

simplify88.0ms (1.1%)

prune249.0ms (3.3%)

localize12.0ms (0.2%)

rewrite119.0ms (1.6%)

series732.0ms (9.6%)

simplify98.0ms (1.3%)

prune323.0ms (4.2%)

localize11.0ms (0.1%)

rewrite14.0ms (0.2%)

series342.0ms (4.5%)

simplify56.0ms (0.7%)

prune51.0ms (0.7%)

localize7.0ms (0.1%)

rewrite12.0ms (0.2%)

series222.0ms (2.9%)

simplify64.0ms (0.8%)

prune32.0ms (0.4%)

simplify16.0ms (0.2%)

regimes878.0ms (11.5%)

bsearch2.0ms (0%)

regimes174.0ms (2.3%)

bsearch45.0ms (0.6%)

regimes149.0ms (1.9%)

bsearch38.0ms (0.5%)

regimes120.0ms (1.6%)

bsearch38.0ms (0.5%)

regimes102.0ms (1.3%)

bsearch58.0ms (0.8%)

regimes58.0ms (0.8%)

bsearch0.0ms (0%)

regimes183.0ms (2.4%)

bsearch31.0ms (0.4%)

regimes172.0ms (2.2%)

bsearch33.0ms (0.4%)

regimes151.0ms (2%)

bsearch34.0ms (0.4%)

regimes81.0ms (1.1%)

bsearch35.0ms (0.5%)

regimes37.0ms (0.5%)

bsearch16.0ms (0.2%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.5s (19.5%)

Profiling