Details

analyze660.0ms (8.7%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (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)

simplify265.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (172.0ms)

Iter	Nodes	Cost
0	5014	16

prune2.0ms (0%)

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

0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.6b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
8.6b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_7602`
12×	`*-un-lft-identity_binary64_7580` `flip--_binary64_7555` `flip3--_binary64_7584`
9×	`add-cbrt-cube_binary64_7616` `add-exp-log_binary64_7618`
8×	`frac-times_binary64_7590` `associate-/r/_binary64_7526` `add-cube-cbrt_binary64_7615`
6×	`cancel-sign-sub-inv_binary64_7546`
5×	`associate-r_binary64_7520` `associate-l_binary64_7521`
4×	`distribute-lft-in_binary64_7529` `pow1_binary64_7641` `distribute-rgt-in_binary64_7530` `associate-r/_binary64_7522` `associate-l/_binary64_7523`
3×	`times-frac_binary64_7586` `associate-/l*_binary64_7525`
2×	`distribute-lft-out--_binary64_7532` `add-log-exp_binary64_7619` `cbrt-unprod_binary64_7613` `sub-neg_binary64_7573` `prod-exp_binary64_7629` `cbrt-undiv_binary64_7614` `div-exp_binary64_7631` `difference-of-squares_binary64_7549`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `frac-2neg_binary64_7591` `div-inv_binary64_7577` `clear-num_binary64_7579` `associate-/r_binary64_7524` `-commutative_binary64_7511`

Counts

2 → 67

Calls

4 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
0.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
0.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series655.0ms (8.7%)

Counts

2 → 48

Calls

2 calls:

512.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
143.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

Compiler

Compiled 2349 to 1697 computations (27.8% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5051	2947

prune144.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 2641 to 947 computations (64.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
0.0b	(/.f64 x (-.f64 y z))
0.0b	(/.f64 x (-.f64 y z))
1.4b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64_7586`
176×	`add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
88×	`add-cube-cbrt_binary64_7615`
44×	`distribute-lft-out--_binary64_7532` `difference-of-squares_binary64_7549`
24×	`associate-/l*_binary64_7525`
16×	`associate-/r/_binary64_7526`
10×	`associate-/r*_binary64_7524`
9×	`add-cbrt-cube_binary64_7616` `add-exp-log_binary64_7618`
8×	`div-inv_binary64_7577` `flip--_binary64_7555` `flip3--_binary64_7584`
4×	`cbrt-undiv_binary64_7614` `div-exp_binary64_7631`
2×	`add-log-exp_binary64_7619` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `pow1_binary64_7641`
1×	`associate-/l/_binary64_7527`

Counts

2 → 185

Calls

4 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
5.0ms	(/.f64 x (-.f64 y z))
0.0ms	(/.f64 x (-.f64 y z))
0.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series645.0ms (8.5%)

Counts

2 → 51

Calls

2 calls:

516.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
129.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 2500 to 1808 computations (27.7% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5048	6839

prune200.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	236	3	239

Error

Counts

239 → 3

Compiler

Compiled 5662 to 1543 computations (72.7% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

1.5b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
0.0b	(/.f64 x (-.f64 y t))
0.0b	(/.f64 x (-.f64 y t))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
1.5b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite164.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64_7586`
844×	`add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
468×	`add-cube-cbrt_binary64_7615`
188×	`distribute-lft-out--_binary64_7532` `difference-of-squares_binary64_7549`
136×	`associate-/r*_binary64_7524`
60×	`associate-/r/_binary64_7526`
33×	`div-inv_binary64_7577`
31×	`add-exp-log_binary64_7618`
28×	`flip--_binary64_7555` `flip3--_binary64_7584`
19×	`add-cbrt-cube_binary64_7616` `div-exp_binary64_7631`
11×	`associate-/l*_binary64_7525`
10×	`cbrt-undiv_binary64_7614`
4×	`pow1_binary64_7641`
3×	`add-log-exp_binary64_7619` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `rec-exp_binary64_7630` `1-exp_binary64_7624`
2×	`associate-/l/_binary64_7527`
1×	`inv-pow_binary64_7665` `pow-flip_binary64_7654` `div-sub_binary64_7585`

Counts

3 → 654

Calls

6 calls:

33.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
5.0ms	(/.f64 x (-.f64 y t))
0.0ms	(/.f64 x (-.f64 y t))
0.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))

series912.0ms (12%)

Counts

3 → 72

Calls

3 calls:

507.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
294.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
110.0ms	(/.f64 x (-.f64 y t))

Compiler

Compiled 3207 to 2390 computations (25.5% saved)

simplify233.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

726 → 726

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5351	23199

prune765.0ms (10.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	726	3	729

Error

Counts

729 → 3

Compiler

Compiled 19284 to 5463 computations (71.7% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	1503	523
1	1503	523

regimes313.0ms (4.1%)

Compiler: Compiled 2792 to 2376 computations (14.9% saved)

bsearch0.0ms (0%)

regimes292.0ms (3.9%)

Compiler: Compiled 2360 to 2168 computations (8.1% saved)

bsearch0.0ms (0%)

regimes169.0ms (2.2%)

Compiler: Compiled 408 to 492 computations (-20.6% saved)

bsearch44.0ms (0.6%)

Steps

Iters	Range		Point
9	1.0197327077920375e-142	8.221767771013024e-138	8.136291538909425e-138
10	-4.671104966706642e-118	-5.5798652153519734e-133	-4.19096472920461e-118

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes149.0ms (2%)

Compiler: Compiled 328 to 412 computations (-25.6% saved)

bsearch38.0ms (0.5%)

Steps

Iters	Range		Point
10	1.3961299494810167e-123	1.855139846092144e-111	7.187023508950631e-115
8	-1.9915807162092648e-87	-5.292908805710469e-92	-1.721968569026964e-87

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes144.0ms (1.9%)

Compiler: Compiled 220 to 304 computations (-38.2% saved)

bsearch32.0ms (0.4%)

Steps

Iters	Range		Point
8	5.889419718908042e-07	0.00042279943586584685	5.977864496253995e-07
8	-1.9377468016992e-21	-4.2865048100137463e-26	-1.67938791701375e-25

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes113.0ms (1.5%)

Compiler: Compiled 112 to 192 computations (-71.4% saved)

bsearch27.0ms (0.4%)

Steps

Iters	Range		Point
8	2.1650645417137039e-10	8.847226920708073e-08	2.184674480054839e-10
7	-457249727159643.2	-20955536157591.285	-181695747888231.47

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes81.0ms (1.1%)

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

bsearch30.0ms (0.4%)

Steps

Iters	Range		Point
5	6.045149886969412e-153	1.7366185045268154e-152	1.6208172435325529e-152
10	-1.8594500130953503e-93	-1.9835718749874022e-104	-5.6725229094671797e-95

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes42.0ms (0.6%)

Accuracy

Total 0.7b remaining (99.6%)

Threshold costs 0.7b (99.6%)

Compiler

Compiled 48 to 124 computations (-158.3% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 171 to 124 computations (27.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	197	216
1	197	216

end0.0ms (0%)

sample1.1s (14.2%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
14.0ms	410×	body	128	invalid

Compiler

Compiled 515 to 435 computations (15.5% saved)

Pareto

0.4154403207089796

Details

analyze660.0ms (8.7%)

sample20.0ms (0.3%)

simplify265.0ms (3.5%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite25.0ms (0.3%)

series655.0ms (8.7%)

simplify92.0ms (1.2%)

prune144.0ms (1.9%)

localize9.0ms (0.1%)

rewrite40.0ms (0.5%)

series645.0ms (8.5%)

simplify100.0ms (1.3%)

prune200.0ms (2.6%)

localize9.0ms (0.1%)

rewrite164.0ms (2.2%)

series912.0ms (12%)

simplify233.0ms (3.1%)

prune765.0ms (10.1%)

simplify51.0ms (0.7%)

regimes313.0ms (4.1%)

bsearch0.0ms (0%)

regimes292.0ms (3.9%)

bsearch0.0ms (0%)

regimes169.0ms (2.2%)

bsearch44.0ms (0.6%)

regimes149.0ms (2%)

bsearch38.0ms (0.5%)

regimes144.0ms (1.9%)

bsearch32.0ms (0.4%)

regimes113.0ms (1.5%)

bsearch27.0ms (0.4%)

regimes81.0ms (1.1%)

bsearch30.0ms (0.4%)

regimes42.0ms (0.6%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.1s (14.2%)

Profiling