Details

analyze111.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.5b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))

rewrite278.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
20×	`pow1_binary64_1503`
16×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
14×	`add-sqr-sqrt_binary64_1464`
12×	`sqrt-div_binary64_1459` `associate-l_binary64_1383`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`pow-prod-down_binary64_1513`
8×	`frac-times_binary64_1452` `associate-/r/_binary64_1388` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
7×	`flip3--_binary64_1446` `flip--_binary64_1417`
6×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`associate-r_binary64_1382`
4×	`div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `associate-*l/_binary64_1385` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `sqrt-prod_binary64_1458` `-commutative_binary64_1373`
2×	`associate-/l/_binary64_1389` `unswap-sqr_binary64_1410`
1×	`frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4540 to 2736 computations (39.7% saved)

series625.0ms (6.2%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

342.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
192.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
30.0ms	(.f64 5 (.f64 v v))
22.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2153 to 1676 computations (22.2% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5018	4315

prune241.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

0.0b

Counts

138 → 6

Compiler

Compiled 4867 to 2988 computations (38.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 6)
0.2b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite337.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_1448`
51×	`add-sqr-sqrt_binary64_1464`
48×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
30×	`sqrt-prod_binary64_1458`
27×	`associate-/l*_binary64_1387`
11×	`pow1_binary64_1503`
10×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
8×	`associate-/r/_binary64_1388`
7×	`associate-/r*_binary64_1386`
6×	`sqrt-div_binary64_1459` `associate-r_binary64_1382`
5×	`flip3--_binary64_1446` `flip--_binary64_1417`
4×	`add-log-exp_binary64_1481` `div-inv_binary64_1439` `pow-prod-down_binary64_1513` `associate-l_binary64_1383`
3×	`div-sub_binary64_1447` `associate-/l/_binary64_1389`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-r/_binary64_1384` `unswap-sqr_binary64_1410` `-commutative_binary64_1373`

Counts

4 → 156

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
7.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 6524 to 3864 computations (40.8% saved)

series481.0ms (4.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

327.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
69.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
28.0ms	(.f64 (.f64 v v) 6)
24.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1786 to 1386 computations (22.4% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	6466
1	4983	6466

prune340.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	175	8	183

Error

Counts

183 → 8

Compiler

Compiled 6761 to 4101 computations (39.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
1.0b	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
1.0b	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))

rewrite638.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

92×	`sqrt-prod_binary64_1458`
76×	`times-frac_binary64_1448`
70×	`add-sqr-sqrt_binary64_1464`
60×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-/r*_binary64_1386`
10×	`sqrt-div_binary64_1459`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
6×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `rem-sqrt-square_binary64_1455` `associate-/l*_binary64_1387`
4×	`add-log-exp_binary64_1481` `div-inv_binary64_1439` `associate-/l/_binary64_1389`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441`

Counts

4 → 162

Calls

4 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
8.0ms	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
7.0ms	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))

Compiler

Compiled 10020 to 6347 computations (36.7% saved)

series412.0ms (4.1%)

Error

Counts

4 → 24

Calls

4 calls:

105.0ms	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
100.0ms	(sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
77.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
73.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

Compiler

Compiled 2918 to 2275 computations (22% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	6816

prune633.0ms (6.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	188	6	194

Error

Counts

194 → 6

Compiler

Compiled 10613 to 6741 computations (36.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v))))
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (.f64 v v))))))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite417.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`add-exp-log_binary64_1480`
52×	`add-cbrt-cube_binary64_1478`
49×	`add-sqr-sqrt_binary64_1464`
46×	`times-frac_binary64_1448`
39×	`*-un-lft-identity_binary64_1442`
37×	`add-cube-cbrt_binary64_1477`
34×	`prod-exp_binary64_1491`
27×	`associate-l_binary64_1383`
25×	`div-exp_binary64_1493`
23×	`sqrt-prod_binary64_1458`
20×	`cbrt-unprod_binary64_1475`
14×	`cbrt-undiv_binary64_1476`
13×	`pow1_binary64_1503` `associate-*r/_binary64_1384`
10×	`associate-r_binary64_1382`
8×	`associate-/r/_binary64_1388` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
7×	`associate-/r*_binary64_1386`
6×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l*_binary64_1387`
5×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481` `div-inv_binary64_1439` `sqrt-div_binary64_1459` `pow-prod-down_binary64_1513` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
3×	`pow-flip_binary64_1516`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `*-commutative_binary64_1373` `associate-/l/_binary64_1389`
1×	`inv-pow_binary64_1527` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `frac-times_binary64_1452` `associate-*l/_binary64_1385` `div-sub_binary64_1447`

Counts

4 → 177

Calls

4 calls:

21.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (.f64 v v))))))
10.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
7.0ms	(.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v))))
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

Compiler

Compiled 7431 to 4695 computations (36.8% saved)

series716.0ms (7.1%)

Error

Counts

4 → 33

Calls

4 calls:

321.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (.f64 v v))))))
178.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
114.0ms	(.f64 t (.f64 PI.f64 (-.f64 1 (*.f64 v v))))
54.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

Compiler

Compiled 2664 to 2051 computations (23% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5252	6620

prune403.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	210	6	216

Error

Counts

216 → 6

Compiler

Compiled 7374 to 4596 computations (37.7% saved)

regimes983.0ms (9.8%)

Accuracy

Total 0.3b remaining (100%)

Threshold costs 0.3b (100%)

Compiler

Compiled 17306 to 12438 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	43
1	78	43

end0.0ms (0%)

sample2.8s (27.9%)

Algorithm

1×

intervals

Results

525.0ms	8000×	body	128	valid
1.0ms	10×	body	128	nan

Compiler

Compiled 3170 to 2281 computations (28% saved)

Details

analyze111.0ms (1.1%)

sample26.0ms (0.3%)

simplify141.0ms (1.4%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite278.0ms (2.8%)

series625.0ms (6.2%)

simplify78.0ms (0.8%)

prune241.0ms (2.4%)

localize16.0ms (0.2%)

rewrite337.0ms (3.4%)

series481.0ms (4.8%)

simplify103.0ms (1%)

prune340.0ms (3.4%)

localize18.0ms (0.2%)

rewrite638.0ms (6.3%)

series412.0ms (4.1%)

simplify103.0ms (1%)

prune633.0ms (6.3%)

localize20.0ms (0.2%)

rewrite417.0ms (4.1%)

series716.0ms (7.1%)

simplify103.0ms (1%)

prune403.0ms (4%)

regimes983.0ms (9.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (27.9%)

Profiling