Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample34.0ms (1.1%)

Algorithm

1×

intervals

Results

14.0ms	115×	body	1024	valid
4.0ms	67×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	45×	body	256	valid
1.0ms	10×	body	2048	valid
0.0ms	19×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune2.0ms (0.1%)

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

58.8b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.1b	(-.f64 (exp.f64 x) 1)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

58.8b

Rules

6×	`add-sqr-sqrt_binary64_1464`
5×	`*-un-lft-identity_binary64_1442`
3×	`add-log-exp_binary64_1481` `cancel-sign-sub-inv_binary64_1408`
2×	`add-cube-cbrt_binary64_1477` `difference-of-squares_binary64_1411`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`

Counts

1 → 18

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 185 to 119 computations (35.7% saved)

series27.0ms (0.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

19.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune21.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 232 to 149 computations (35.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.4b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite105.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481`
4×	`associate-*r/_binary64_1384`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 x 1/24)
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1650 to 1164 computations (29.5% saved)

series149.0ms (4.7%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

52.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
36.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
30.0ms	(+.f64 1/6 (*.f64 x 1/24))
18.0ms	(*.f64 x 1/24)

Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify84.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune87.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Error

0.0b

Counts

97 → 4

Compiler

Compiled 1810 to 1260 computations (30.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 2)
7.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite144.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

53×	`*-un-lft-identity_binary64_1442`
33×	`add-sqr-sqrt_binary64_1464`
32×	`times-frac_binary64_1448`
24×	`difference-of-sqr--1_binary64_1413`
21×	`add-cube-cbrt_binary64_1477`
16×	`distribute-lft-out_binary64_1393`
9×	`unpow-prod-down_binary64_1521`
8×	`add-log-exp_binary64_1481` `associate-/l*_binary64_1387`
7×	`unpow2_binary64_1507` `sqr-pow_binary64_1414`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`pow1_binary64_1503`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514` `associate-/r*_binary64_1386`
3×	`pow-unpow_binary64_1519` `exp-prod_binary64_1494`
2×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

4 → 109

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
8.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2200 to 1505 computations (31.6% saved)

series154.0ms (4.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

54.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
34.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
32.0ms	(pow.f64 (exp.f64 x) 2)
17.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 716 to 570 computations (20.4% saved)

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5379	2071

prune105.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

0.0b

Counts

137 → 4

Compiler

Compiled 2093 to 1355 computations (35.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
6.9b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite90.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`*-un-lft-identity_binary64_1442`
13×	`add-sqr-sqrt_binary64_1464`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `flip3-+_binary64_1445` `flip-+_binary64_1416`
7×	`pow1_binary64_1503`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `distribute-lft-out_binary64_1393`
5×	`associate-l_binary64_1383` `sqrt-prod_binary64_1458`
4×	`frac-times_binary64_1452` `associate-r_binary64_1382` `sqrt-pow1_binary64_1460`
3×	`exp-prod_binary64_1494`
2×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `*-commutative_binary64_1373` `pow1/2_binary64_1522` `rem-sqrt-square_binary64_1455`

Counts

4 → 72

Calls

4 calls:

11.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
4.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1430 to 734 computations (48.7% saved)

series144.0ms (4.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

54.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
27.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
23.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
21.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 736 to 547 computations (25.7% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5388	1171

prune69.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	96	4	100

Error

0.0b

Counts

100 → 4

Compiler

Compiled 1393 to 756 computations (45.7% saved)

regimes117.0ms (3.7%)

Accuracy

Total 0.4b remaining (96.7%)

Threshold costs 0.4b (96.7%)

Compiler

Compiled 1085 to 866 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample1.5s (46.5%)

Algorithm

1×

intervals

Results

489.0ms	3985×	body	1024	valid
126.0ms	1970×	body	512	valid
107.0ms	8000×	pre	128	true
56.0ms	435×	body	2048	valid
44.0ms	1038×	body	256	valid
11.0ms	572×	body	128	valid

Compiler

Compiled 311 to 248 computations (20.3% saved)

Details

analyze3.0ms (0.1%)

sample34.0ms (1.1%)

simplify99.0ms (3.1%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite22.0ms (0.7%)

series27.0ms (0.9%)

simplify75.0ms (2.3%)

prune21.0ms (0.7%)

localize9.0ms (0.3%)

rewrite105.0ms (3.3%)

series149.0ms (4.7%)

simplify84.0ms (2.6%)

prune87.0ms (2.8%)

localize7.0ms (0.2%)

rewrite144.0ms (4.6%)

series154.0ms (4.9%)

simplify69.0ms (2.2%)

prune105.0ms (3.3%)

localize6.0ms (0.2%)

rewrite90.0ms (2.8%)

series144.0ms (4.5%)

simplify70.0ms (2.2%)

prune69.0ms (2.2%)

regimes117.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (46.5%)

Profiling