Details

analyze217.0ms (1.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
0	2	2
1	2	2

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)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune5.0ms (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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(/.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)))))
0.3b	(*.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))))

rewrite51.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

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

series296.0ms (2%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(/.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)))))
127.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
17.0ms	(.f64 5 (.f64 v v))
13.0ms	(*.f64 PI.f64 t)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5345	3774

prune232.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

Compiler

Compiled 4675 to 2912 computations (37.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(*.f64 PI.f64 t)
0.5b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 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 v (.f64 v -6)))))

rewrite53.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
30×	`sqrt-prod_binary64_1458`
27×	`associate-/l*_binary64_1387`
11×	`pow1_binary64_1503`
10×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491` `div-exp_binary64_1493`
8×	`associate-/r/_binary64_1388`
7×	`associate-/r*_binary64_1386`
6×	`associate-r_binary64_1382` `sqrt-div_binary64_1459`
4×	`div-inv_binary64_1439` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481`
3×	`associate-/l/_binary64_1389` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447`
2×	`associate-r/_binary64_1384` `clear-num_binary64_1441` `flip3--_binary64_1446` `-commutative_binary64_1373` `flip--_binary64_1417` `frac-2neg_binary64_1453` `unswap-sqr_binary64_1410`

Counts

4 → 156

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
6.0ms	(.f64 (.f64 v v) 5)
3.0ms	(*.f64 PI.f64 t)

series228.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
59.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
16.0ms	(.f64 (.f64 v v) 5)
13.0ms	(*.f64 PI.f64 t)

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4945	6117
1	4945	6117

prune324.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	169	6	175

Merged error: 0b

Counts

175 → 6

Compiler

Compiled 6474 to 4145 computations (36% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite126.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

543×	`times-frac_binary64_1448`
228×	`add-sqr-sqrt_binary64_1464`
226×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
138×	`sqrt-prod_binary64_1458`
79×	`add-exp-log_binary64_1480`
70×	`associate-/r/_binary64_1388`
69×	`associate-/r*_binary64_1386`
64×	`associate-*r/_binary64_1384`
49×	`add-cbrt-cube_binary64_1478`
41×	`div-exp_binary64_1493`
38×	`div-inv_binary64_1439`
33×	`flip3--_binary64_1446` `flip--_binary64_1417`
22×	`cbrt-undiv_binary64_1476`
16×	`prod-exp_binary64_1491`
12×	`associate-/l*_binary64_1387`
10×	`cbrt-unprod_binary64_1475`
7×	`pow1_binary64_1503`
5×	`1-exp_binary64_1486` `rec-exp_binary64_1492`
4×	`associate-/l/_binary64_1389` `add-log-exp_binary64_1481`
3×	`associate-r_binary64_1382` `clear-num_binary64_1441` `associate-l_binary64_1383` `frac-2neg_binary64_1453`
2×	`sqrt-div_binary64_1459`
1×	`inv-pow_binary64_1527` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow-flip_binary64_1516` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447` `unswap-sqr_binary64_1410`

Counts

4 → 408

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))))
15.0ms	(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
10.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
4.0ms	(*.f64 PI.f64 t)

series379.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
142.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))))
60.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
16.0ms	(*.f64 PI.f64 t)

simplify236.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

420 → 420

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4974	24278
1	4974	24278

prune1.3s (8.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	421	5	426

Merged error: 0b

Counts

426 → 5

Compiler

Compiled 19126 to 12428 computations (35% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 1 (*.f64 PI.f64 t))
0.3b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 1 (.f64 PI.f64 t)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))

rewrite333.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

3044×	`times-frac_binary64_1448`
1196×	`add-sqr-sqrt_binary64_1464`
1193×	`*-un-lft-identity_binary64_1442`
1049×	`add-cube-cbrt_binary64_1477`
504×	`sqrt-prod_binary64_1458`
288×	`difference-of-squares_binary64_1411`
190×	`div-inv_binary64_1439`
132×	`associate-/r*_binary64_1386`
105×	`associate-/r/_binary64_1388`
100×	`add-exp-log_binary64_1480`
58×	`div-exp_binary64_1493`
52×	`add-cbrt-cube_binary64_1478`
48×	`flip3--_binary64_1446` `flip--_binary64_1417`
26×	`cbrt-undiv_binary64_1476`
16×	`prod-exp_binary64_1491`
14×	`pow1_binary64_1503`
10×	`associate-/l*_binary64_1387`
8×	`cbrt-unprod_binary64_1475` `1-exp_binary64_1486` `rec-exp_binary64_1492`
6×	`associate-r_binary64_1382`
5×	`pow-prod-down_binary64_1513`
4×	`associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`clear-num_binary64_1441` `*-commutative_binary64_1373` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `unswap-sqr_binary64_1410`
1×	`inv-pow_binary64_1527` `associate-/l/_binary64_1389`

Counts

4 → 1162

Calls

4 calls:

52.0ms	(/.f64 (/.f64 1 (.f64 PI.f64 t)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))
6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(/.f64 1 (*.f64 PI.f64 t))
3.0ms	(*.f64 PI.f64 t)

series290.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(/.f64 (/.f64 1 (.f64 PI.f64 t)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))
18.0ms	(/.f64 1 (*.f64 PI.f64 t))
17.0ms	(.f64 (.f64 v v) 5)
13.0ms	(*.f64 PI.f64 t)

simplify691.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1174 → 1174

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5088	87349

prune7.1s (47.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1174	0	1174
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	1174	5	1179

Merged error: 0b

Counts

1179 → 5

Compiler

Compiled 61765 to 41899 computations (32.2% saved)

regimes664.0ms (4.5%)

Compiler: Compiled 10755 to 8058 computations (25.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	46
1	64	46

end0.0ms (0%)

sample2.0s (13.3%)

Algorithm

1×

intervals

Results

533.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 1910 to 1432 computations (25% saved)

Details

analyze217.0ms (1.5%)

sample24.0ms (0.2%)

simplify51.0ms (0.3%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite51.0ms (0.3%)

series296.0ms (2%)

simplify76.0ms (0.5%)

prune232.0ms (1.6%)

localize16.0ms (0.1%)

rewrite53.0ms (0.4%)

series228.0ms (1.5%)

simplify124.0ms (0.8%)

prune324.0ms (2.2%)

localize20.0ms (0.1%)

rewrite126.0ms (0.8%)

series379.0ms (2.5%)

simplify236.0ms (1.6%)

prune1.3s (8.9%)

localize17.0ms (0.1%)

rewrite333.0ms (2.2%)

series290.0ms (1.9%)

simplify691.0ms (4.6%)

prune7.1s (47.8%)

regimes664.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (13.3%)

Profiling