Details

analyze4.0ms (0.2%)

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)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	77×	body	512	valid
5.0ms	142×	body	128	valid
2.0ms	31×	body	256	valid
1.0ms	6×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify171.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (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: 16.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite47.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (+.f64 x 1))

series86.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
18.0ms	(/.f64 1 (+.f64 x 1))

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	1442
1	4941	1442

prune84.0ms (3.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	1	82

Merged error: 0.1b

Counts

82 → 1

Compiler

Compiled 1441 to 1205 computations (16.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

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:

5.0ms

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

series40.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5270	557

prune33.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.0b

Counts

33 → 4

Compiler

Compiled 515 to 351 computations (31.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
15.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
15.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
15.0b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

13.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series410.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
95.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
91.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
90.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify63.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5069	1523

prune117.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

Compiler

Compiled 2367 to 1561 computations (34.1% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.6b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
23.4b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite40.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64_1446`
67×	`*-un-lft-identity_binary64_1425`
61×	`times-frac_binary64_1431`
43×	`difference-of-squares_binary64_1394`
36×	`associate-l_binary64_1368`
32×	`add-cube-cbrt_binary64_1457`
14×	`unpow-prod-down_binary64_1501` `sqr-pow_binary64_1397`
10×	`associate-/r*_binary64_1371`
9×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
7×	`distribute-lft-out--_binary64_1379`
4×	`flip--_binary64_1400` `associate-r_binary64_1367` `associate-/r/_binary64_1373` `pow1_binary64_1483` `flip3--_binary64_1429`
3×	`associate-/l*_binary64_1372`
2×	`unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `sub-neg_binary64_1418` `cbrt-unprod_binary64_1455` `associate-*r/_binary64_1369` `div-inv_binary64_1422` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461` `frac-times_binary64_1435`
1×	`distribute-lft-in_binary64_1376` `frac-2neg_binary64_1436` `clear-num_binary64_1424` `distribute-rgt-in_binary64_1377` `associate-l/_binary64_1370` `-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

2 → 119

Calls

2 calls:

18.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))

series172.0ms (7.4%)

Counts

2 → 6

Calls

2 calls:

103.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
68.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

simplify65.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5251	2538

prune152.0ms (6.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

Compiler

Compiled 2722 to 2014 computations (26% saved)

regimes13.0ms (0.6%)

Compiler: Compiled 68 to 51 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample602.0ms (25.8%)

Algorithm

1×

intervals

Results

157.0ms	1990×	body	512	valid
136.0ms	4546×	body	128	valid
61.0ms	1036×	body	256	valid
45.0ms	428×	body	1024	valid

Compiler

Compiled 85 to 67 computations (21.2% saved)

Details

analyze4.0ms (0.2%)

sample18.0ms (0.8%)

simplify171.0ms (7.4%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

rewrite47.0ms (2%)

series86.0ms (3.7%)

simplify74.0ms (3.2%)

prune84.0ms (3.6%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series40.0ms (1.7%)

simplify66.0ms (2.8%)

prune33.0ms (1.4%)

localize8.0ms (0.4%)

rewrite29.0ms (1.2%)

series410.0ms (17.6%)

simplify63.0ms (2.7%)

prune117.0ms (5%)

localize10.0ms (0.4%)

rewrite40.0ms (1.7%)

series172.0ms (7.4%)

simplify65.0ms (2.8%)

prune152.0ms (6.5%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample602.0ms (25.8%)

Profiling