Details

analyze679.0ms (6.3%)

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%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 9 to 9 computations (0% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	106×	body	128	nan
1.0ms	31×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune3.0ms (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

18.4b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

13.5b	(sqrt.f64 (/.f64 A (*.f64 V l)))
5.7b	(/.f64 A (*.f64 V l))
1.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.7b	(/.f64 A (*.f64 V l))
13.5b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1464`
15×	`sqrt-prod_binary64_1458`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`times-frac_binary64_1448`
6×	`pow1_binary64_1503`
3×	`div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-l*_binary64_1383` `add-log-exp_binary64_1481`
2×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `sqrt-div_binary64_1459` `prod-exp_binary64_1491` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`
1×	`sqrt-pow1_binary64_1460` `associate-r/_binary64_1384` `associate-/r_binary64_1386` `rem-sqrt-square_binary64_1455` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `pow1/2_binary64_1522`

Counts

3 → 66

Calls

6 calls:

22.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
8.0ms	(/.f64 A (*.f64 V l))
7.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
0.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
0.0ms	(/.f64 A (*.f64 V l))

series397.0ms (3.7%)

Counts

3 → 30

Calls

3 calls:

174.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
126.0ms	(/.f64 A (*.f64 V l))
97.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune146.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	12	97

Error

6.2b

Counts

97 → 12

Compiler

Compiled 1249 to 353 computations (71.7% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

13.5b	(sqrt.f64 (/.f64 (/.f64 A V) l))
4.3b	(/.f64 (/.f64 A V) l)
1.8b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
1.8b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
4.3b	(/.f64 (/.f64 A V) l)
13.5b	(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`times-frac_binary64_1448`
134×	`add-sqr-sqrt_binary64_1464`
117×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
89×	`sqrt-prod_binary64_1458`
46×	`associate-r_binary64_1382`
13×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
10×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`pow1_binary64_1503`
4×	`unswap-sqr_binary64_1410`
3×	`cbrt-undiv_binary64_1476` `associate-/r_binary64_1386` `rem-sqrt-square_binary64_1455` `associate-l*_binary64_1383` `add-log-exp_binary64_1481` `div-exp_binary64_1493`
2×	`sqrt-div_binary64_1459`
1×	`sqrt-pow1_binary64_1460` `associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `pow1/2_binary64_1522` `prod-exp_binary64_1491`

Counts

3 → 191

Calls

6 calls:

19.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
7.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
6.0ms	(/.f64 (/.f64 A V) l)
0.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
0.0ms	(/.f64 (/.f64 A V) l)

series414.0ms (3.9%)

Counts

3 → 30

Calls

3 calls:

193.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
114.0ms	(/.f64 (/.f64 A V) l)
106.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))

Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4917	3725
1	4917	3725

prune243.0ms (2.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	217	16	233

Error

0.1b

Counts

233 → 16

Compiler

Compiled 3707 to 961 computations (74.1% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 (cbrt.f64 A) (cbrt.f64 V))
0.3b	(.f64 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) c0) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))))
0.3b	(*.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) c0)
0.1b	(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
8×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`

Counts

4 → 44

Calls

8 calls:

2.0ms	(cbrt.f64 V)
2.0ms	(cbrt.f64 l)
2.0ms	(cbrt.f64 V)
2.0ms	(cbrt.f64 l)
0.0ms	(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l)))

series371.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt.f64 l)
95.0ms	(cbrt.f64 l)
87.0ms	(cbrt.f64 V)
80.0ms	(cbrt.f64 V)

Compiler

Compiled 568 to 436 computations (23.2% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune79.0ms (0.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	53	19	72

Error

0.0b

Counts

72 → 19

Compiler

Compiled 1680 to 498 computations (70.4% saved)

localize39.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) c0) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l))))
0.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))
0.3b	(*.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (cbrt.f64 l))) c0)
0.1b	(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
8×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`

Counts

4 → 44

Calls

8 calls:

1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 l)
0.0ms	(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 (cbrt.f64 V)) (cbrt.f64 (cbrt.f64 V))) (cbrt.f64 (cbrt.f64 V)))) (cbrt.f64 l)))

series407.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 V)
103.0ms	(cbrt.f64 l)
102.0ms	(cbrt.f64 V)
87.0ms	(cbrt.f64 l)

Compiler

Compiled 784 to 532 computations (32.1% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune89.0ms (0.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	55	20	75

Error

0.0b

Counts

75 → 20

Compiler

Compiled 1844 to 322 computations (82.5% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	383	1738
1	383	1738

regimes1.2s (10.8%)

Accuracy

Total 1.1b remaining (95.4%)

Threshold costs 0b (0%)

Compiler

Compiled 9471 to 7066 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

end0.0ms (0%)

sample5.9s (55.4%)

Algorithm

1×

intervals

Results

348.0ms	8000×	body	128	valid
124.0ms	2953×	body	128	nan
38.0ms	902×	body	128	invalid

Compiler

Compiled 3237 to 2398 computations (25.9% saved)

Pareto

0.24558321210720022

Details

analyze679.0ms (6.3%)

sample28.0ms (0.3%)

simplify107.0ms (1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite47.0ms (0.4%)

series397.0ms (3.7%)

simplify82.0ms (0.8%)

prune146.0ms (1.4%)

localize10.0ms (0.1%)

rewrite62.0ms (0.6%)

series414.0ms (3.9%)

simplify170.0ms (1.6%)

prune243.0ms (2.3%)

localize17.0ms (0.2%)

rewrite15.0ms (0.1%)

series371.0ms (3.5%)

simplify95.0ms (0.9%)

prune79.0ms (0.7%)

localize39.0ms (0.4%)

rewrite9.0ms (0.1%)

series407.0ms (3.8%)

simplify82.0ms (0.8%)

prune89.0ms (0.8%)

simplify24.0ms (0.2%)

regimes1.2s (10.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.9s (55.4%)

Profiling