Details

analyze16.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	68×	body	512	valid
8.0ms	134×	body	128	valid
6.0ms	41×	body	256	valid
3.0ms	13×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify290.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 16.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
4.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_1425`
72×	`add-sqr-sqrt_binary64_1446`
69×	`times-frac_binary64_1431`
32×	`add-cube-cbrt_binary64_1457`
27×	`distribute-lft-out--_binary64_1379`
17×	`difference-of-squares_binary64_1394`
11×	`associate-/r*_binary64_1371` `add-exp-log_binary64_1460`
10×	`distribute-lft-out_binary64_1378`
7×	`add-cbrt-cube_binary64_1458`
6×	`div-inv_binary64_1422` `associate-/r/_binary64_1373` `associate-/l*_binary64_1372`
5×	`pow1_binary64_1483` `add-log-exp_binary64_1461`
4×	`difference-of-sqr-1_binary64_1395` `div-exp_binary64_1473`
3×	`flip--_binary64_1400`
2×	`frac-2neg_binary64_1436` `pow-flip_binary64_1496` `inv-pow_binary64_1507` `clear-num_binary64_1424` `flip-+_binary64_1399` `1-exp_binary64_1466` `flip3--_binary64_1429` `cbrt-undiv_binary64_1456` `rec-exp_binary64_1472`
1×	`diff-log_binary64_1514` `flip3-+_binary64_1428` `sub-neg_binary64_1418` `frac-sub_binary64_1434`

Counts

3 → 124

Calls

3 calls:

64.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
12.0ms	(/.f64 1 (-.f64 x 1))
11.0ms	(/.f64 1 (+.f64 x 1))

series191.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
35.0ms	(/.f64 1 (-.f64 x 1))
33.0ms	(/.f64 1 (+.f64 x 1))

simplify128.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4849	2118
1	4849	2118

prune266.0ms (5.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Merged error: 0.4b

Counts

134 → 2

Compiler

Compiled 2344 to 1933 computations (17.5% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_1431` `add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
3×	`associate-/r_binary64_1371` `add-cbrt-cube_binary64_1458` `associate-/l_binary64_1372` `add-exp-log_binary64_1460`
2×	`associate-/r/_binary64_1373`
1×	`frac-2neg_binary64_1436` `flip3-+_binary64_1428` `clear-num_binary64_1424` `div-inv_binary64_1422` `flip-+_binary64_1399` `div-exp_binary64_1473` `pow1_binary64_1483` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461`

Counts

1 → 29

Calls

1 calls:

13.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series73.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

72.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify118.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5270	557

prune65.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.3b

Counts

34 → 4

Compiler

Compiled 517 to 353 computations (31.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite56.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1454`
15×	`add-exp-log_binary64_1460`
12×	`pow1_binary64_1483`
9×	`pow-flip_binary64_1496` `add-cube-cbrt_binary64_1457` `flip3-+_binary64_1428` `cbrt-prod_binary64_1453` `add-sqr-sqrt_binary64_1446` `pow1/3_binary64_1504` `flip-+_binary64_1399` `*-un-lft-identity_binary64_1425`
8×	`associate-/r/_binary64_1373`
7×	`add-cbrt-cube_binary64_1458`
4×	`div-exp_binary64_1473` `add-log-exp_binary64_1461` `frac-times_binary64_1435`
3×	`times-frac_binary64_1431` `prod-exp_binary64_1471` `associate-/l*_binary64_1372`
2×	`associate-r/_binary64_1369` `pow-sqr_binary64_1398` `1-exp_binary64_1466` `associate-l/_binary64_1370` `cbrt-undiv_binary64_1456` `rec-exp_binary64_1472` `pow-prod-up_binary64_1492` `pow-prod-down_binary64_1493`
1×	`frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `inv-pow_binary64_1507` `pow-plus_binary64_1485` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `pow2_binary64_1503` `div-inv_binary64_1422`

Counts

4 → 82

Calls

4 calls:

23.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series709.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
173.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
168.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
158.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify115.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4902	1548
1	4902	1548

prune244.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0.3b

Counts

98 → 4

Compiler

Compiled 2758 to 1862 computations (32.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
0.2b	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
16.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
21×	`cbrt-prod_binary64_1453`
18×	`times-frac_binary64_1431`
7×	`add-exp-log_binary64_1460`
6×	`associate-/r*_binary64_1371` `cbrt-div_binary64_1454` `unpow-prod-down_binary64_1501`
5×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483`
4×	`add-log-exp_binary64_1461`
3×	`pow-unpow_binary64_1499` `flip3-+_binary64_1428` `pow1/3_binary64_1504` `flip-+_binary64_1399` `associate-/l*_binary64_1372`
2×	`pow-pow_binary64_1494` `associate-/r/_binary64_1373`
1×	`frac-2neg_binary64_1436` `pow-to-exp_binary64_1491` `clear-num_binary64_1424` `pow-exp_binary64_1490` `div-inv_binary64_1422` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456` `sqr-pow_binary64_1397`

Counts

4 → 88

Calls

4 calls:

10.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
9.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
6.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series823.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

255.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
238.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
168.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
161.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5473	1989

prune237.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0.3b

Counts

104 → 4

Compiler

Compiled 2503 to 1760 computations (29.7% saved)

regimes26.0ms (0.5%)

Compiler: Compiled 54 to 43 computations (20.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample1.1s (23.5%)

Algorithm

1×

intervals

Results

309.0ms	1927×	body	512	valid
275.0ms	4600×	body	128	valid
112.0ms	1040×	body	256	valid
93.0ms	433×	body	1024	valid

Compiler

Compiled 71 to 59 computations (16.9% saved)

Details

analyze16.0ms (0.3%)

sample38.0ms (0.8%)

simplify290.0ms (5.9%)

prune5.0ms (0.1%)

localize18.0ms (0.4%)

rewrite109.0ms (2.2%)

series191.0ms (3.9%)

simplify128.0ms (2.6%)

prune266.0ms (5.4%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series73.0ms (1.5%)

simplify118.0ms (2.4%)

prune65.0ms (1.3%)

localize18.0ms (0.4%)

rewrite56.0ms (1.1%)

series709.0ms (14.5%)

simplify115.0ms (2.4%)

prune244.0ms (5%)

localize16.0ms (0.3%)

rewrite44.0ms (0.9%)

series823.0ms (16.8%)

simplify106.0ms (2.2%)

prune237.0ms (4.9%)

regimes26.0ms (0.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.5%)

Profiling