Details

analyze104.0ms (1.8%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify211.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4985	40
1	4985	40

prune6.0ms (0.1%)

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: 0.6b

Counts

2 → 1

Compiler

Compiled 106 to 81 computations (23.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
20×	`pow1_binary64_1516`
16×	`prod-exp_binary64_1504` `associate-*r/_binary64_1397` `cbrt-unprod_binary64_1488`
13×	`add-sqr-sqrt_binary64_1477`
12×	`sqrt-div_binary64_1472` `associate-l_binary64_1396`
11×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
10×	`pow-prod-down_binary64_1526`
8×	`associate-/r/_binary64_1401` `distribute-rgt-in_binary64_1405` `frac-times_binary64_1465` `distribute-lft-in_binary64_1404`
7×	`flip--_binary64_1430` `flip3--_binary64_1459`
6×	`flip-+_binary64_1429` `flip3-+_binary64_1458`
5×	`associate-r_binary64_1395`
4×	`div-exp_binary64_1506` `add-log-exp_binary64_1494` `cbrt-undiv_binary64_1489` `cancel-sign-sub-inv_binary64_1421` `sub-neg_binary64_1448` `associate-*l/_binary64_1398`
3×	`sqrt-prod_binary64_1471` `-commutative_binary64_1386` `associate-/l_binary64_1400` `times-frac_binary64_1461`
2×	`associate-/l/_binary64_1402`
1×	`clear-num_binary64_1454` `associate-/r*_binary64_1399` `frac-2neg_binary64_1466` `div-inv_binary64_1452` `div-sub_binary64_1460` `unswap-sqr_binary64_1423`

Counts

4 → 112

Calls

4 calls:

18.0ms	(/.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)))))
15.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
7.0ms	(*.f64 PI.f64 t)
5.0ms	(.f64 v (.f64 -6 v))

series628.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

307.0ms	(/.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)))))
258.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
36.0ms	(.f64 v (.f64 -6 v))
26.0ms	(*.f64 PI.f64 t)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5293	3762

prune547.0ms (9.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Merged error: 0.2b

Counts

125 → 6

Compiler

Compiled 12034 to 8553 computations (28.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 v (.f64 v -6))
0.3b	(*.f64 PI.f64 t)
0.6b	(/.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)))))

rewrite62.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_1461`
50×	`add-sqr-sqrt_binary64_1477`
48×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
34×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
30×	`sqrt-prod_binary64_1471`
27×	`associate-/l*_binary64_1400`
11×	`pow1_binary64_1516`
10×	`prod-exp_binary64_1504` `div-exp_binary64_1506` `cbrt-undiv_binary64_1489` `cbrt-unprod_binary64_1488`
8×	`associate-/r/_binary64_1401`
7×	`associate-/r*_binary64_1399`
6×	`sqrt-div_binary64_1472` `associate-l_binary64_1396`
4×	`associate-r_binary64_1395` `add-log-exp_binary64_1494` `div-inv_binary64_1452` `pow-prod-down_binary64_1526`
3×	`flip-+_binary64_1429` `associate-/l/_binary64_1402` `flip3-+_binary64_1458` `div-sub_binary64_1460`
2×	`associate-r/_binary64_1397` `clear-num_binary64_1454` `-commutative_binary64_1386` `flip--_binary64_1430` `frac-2neg_binary64_1466` `flip3--_binary64_1459`
1×	`unswap-sqr_binary64_1423`

Counts

4 → 155

Calls

4 calls:

19.0ms	(/.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))))
11.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
6.0ms	(.f64 v (.f64 v -6))
4.0ms	(*.f64 PI.f64 t)

series510.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

320.0ms	(/.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))))
125.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
35.0ms	(.f64 v (.f64 v -6))
29.0ms	(*.f64 PI.f64 t)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4936	6103
1	4936	6103

prune412.0ms (7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	167	6	173

Merged error: 0.2b

Counts

173 → 6

Compiler

Compiled 8131 to 5389 computations (33.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 v (.f64 v -6))
0.3b	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
0.6b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.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)))))

rewrite68.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_1461`
47×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
37×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
30×	`sqrt-prod_binary64_1471`
27×	`associate-/l*_binary64_1400`
14×	`pow1_binary64_1516`
12×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488`
10×	`div-exp_binary64_1506` `cbrt-undiv_binary64_1489`
8×	`associate-*r/_binary64_1397` `associate-/r/_binary64_1401`
7×	`associate-/r*_binary64_1399`
6×	`sqrt-div_binary64_1472` `flip-+_binary64_1429` `flip3-+_binary64_1458` `associate-l_binary64_1396` `pow-prod-down_binary64_1526`
4×	`distribute-rgt-in_binary64_1405` `add-log-exp_binary64_1494` `distribute-lft-in_binary64_1404` `div-inv_binary64_1452`
3×	`associate-/l/_binary64_1402`
2×	`associate-r_binary64_1395` `clear-num_binary64_1454` `*-commutative_binary64_1386` `frac-2neg_binary64_1466`

Counts

4 → 159

Calls

4 calls:

19.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v)))))
9.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
8.0ms	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
6.0ms	(.f64 v (.f64 v -6))

series588.0ms (10%)

Counts

4 → 12

Calls

4 calls:

311.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v)))))
133.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
99.0ms	(.f64 PI.f64 (.f64 t (+.f64 -1 (*.f64 v v))))
44.0ms	(.f64 v (.f64 v -6))

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5531	6212

prune436.0ms (7.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	171	6	177

Merged error: 0b

Counts

177 → 6

Compiler

Compiled 8358 to 5700 computations (31.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.2b	(.f64 v (.f64 v -6))
1.0b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
1.0b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_1461`
99×	`add-sqr-sqrt_binary64_1477`
98×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
48×	`sqrt-prod_binary64_1471`
27×	`associate-/l*_binary64_1400`
21×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
14×	`pow1_binary64_1516`
10×	`associate-/r/_binary64_1401` `sqrt-div_binary64_1472`
9×	`associate-/r*_binary64_1399`
6×	`prod-exp_binary64_1504` `flip-+_binary64_1429` `cbrt-unprod_binary64_1488` `flip3-+_binary64_1458` `div-inv_binary64_1452` `pow-prod-down_binary64_1526`
4×	`associate-r_binary64_1395` `div-exp_binary64_1506` `add-log-exp_binary64_1494` `cbrt-undiv_binary64_1489` `associate-l_binary64_1396`
3×	`associate-/l/_binary64_1402`
2×	`clear-num_binary64_1454` `*-commutative_binary64_1386` `frac-2neg_binary64_1466`
1×	`unswap-sqr_binary64_1423`

Counts

4 → 194

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)
9.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
7.0ms	(.f64 (.f64 v v) 5)
6.0ms	(.f64 v (.f64 v -6))

series376.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) PI.f64)
126.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
38.0ms	(.f64 v (.f64 v -6))
35.0ms	(.f64 (.f64 v v) 5)

simplify112.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5167	8039

prune489.0ms (8.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	207	5	212

Merged error: 0b

Counts

212 → 5

Compiler

Compiled 8548 to 5620 computations (34.3% saved)

regimes62.0ms (1%)

Compiler: Compiled 600 to 466 computations (22.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	40
1	28	40

end0.0ms (0%)

sample798.0ms (13.5%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
1.0ms	13×	body	128	nan

Compiler

Compiled 201 to 155 computations (22.9% saved)

Details

analyze104.0ms (1.8%)

sample23.0ms (0.4%)

simplify211.0ms (3.6%)

prune6.0ms (0.1%)

localize15.0ms (0.3%)

rewrite60.0ms (1%)

series628.0ms (10.6%)

simplify72.0ms (1.2%)

prune547.0ms (9.3%)

localize15.0ms (0.3%)

rewrite62.0ms (1.1%)

series510.0ms (8.6%)

simplify115.0ms (2%)

prune412.0ms (7%)

localize15.0ms (0.3%)

rewrite68.0ms (1.2%)

series588.0ms (10%)

simplify86.0ms (1.5%)

prune436.0ms (7.4%)

localize18.0ms (0.3%)

rewrite67.0ms (1.1%)

series376.0ms (6.4%)

simplify112.0ms (1.9%)

prune489.0ms (8.3%)

regimes62.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample798.0ms (13.5%)

Profiling