Details

analyze341.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample78.0ms (1.4%)

Algorithm

1×

intervals

Results

44.0ms	123×	body	1024	valid
15.0ms	73×	body	512	valid
7.0ms	13×	body	2048	valid
4.0ms	30×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify235.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (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

Error

59.0b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1442`
52×	`add-sqr-sqrt_binary64_1464`
48×	`times-frac_binary64_1448`
30×	`log-prod_binary64_1528`
25×	`add-cube-cbrt_binary64_1477`
18×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out_binary64_1393`
9×	`distribute-lft-out--_binary64_1394`
7×	`add-exp-log_binary64_1480`
6×	`associate-/r*_binary64_1386`
4×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
3×	`pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `div-inv_binary64_1439` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `add-log-exp_binary64_1481` `flip--_binary64_1417` `div-exp_binary64_1493`
1×	`cbrt-undiv_binary64_1476` `clear-num_binary64_1441` `log-pow_binary64_1531` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `log-div_binary64_1529`

Counts

2 → 91

Calls

2 calls:

9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series51.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
13.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5756	1898

prune118.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	3	98

Error

0.0b

Counts

98 → 3

Compiler

Compiled 1753 to 1398 computations (20.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1464`
15×	`associate-l_binary64_1383`
13×	`add-exp-log_binary64_1480`
10×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`unpow-prod-down_binary64_1521`
7×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
6×	`prod-exp_binary64_1491`
5×	`add-log-exp_binary64_1481`
4×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414`
3×	`pow1_binary64_1503`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `*-commutative_binary64_1373` `pow-to-exp_binary64_1511`
1×	`cube-mult_binary64_1472` `sum-log_binary64_1533` `+-commutative_binary64_1372` `unpow3_binary64_1508` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series144.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
36.0ms	(*.f64 2/5 (pow.f64 x 5))
24.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5097	898

prune91.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

0.0b

Counts

79 → 3

Compiler

Compiled 1695 to 1235 computations (27.1% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
5.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
5.2b	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

rewrite68.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`*-un-lft-identity_binary64_1442`
119×	`add-sqr-sqrt_binary64_1464`
116×	`log-prod_binary64_1528`
96×	`times-frac_binary64_1448`
64×	`difference-of-squares_binary64_1411`
54×	`associate-+l+_binary64_1375`
39×	`add-cube-cbrt_binary64_1477`
30×	`distribute-lft-out_binary64_1393`
16×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow-prod-down_binary64_1521`
9×	`pow1_binary64_1503`
8×	`distribute-lft-out--_binary64_1394`
7×	`add-exp-log_binary64_1480`
6×	`log-pow_binary64_1531` `log-div_binary64_1529`
4×	`associate-/r/_binary64_1388` `associate-+r+_binary64_1374`
3×	`add-cbrt-cube_binary64_1478` `rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-+r-_binary64_1376` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `associate-+l-_binary64_1377` `div-exp_binary64_1493`

Counts

3 → 156

Calls

3 calls:

24.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
13.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
5.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

series96.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
22.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
17.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

simplify163.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4910	4710
1	4910	4710

prune297.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Error

0.0b

Counts

168 → 3

Compiler

Compiled 5213 to 3748 computations (28.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
0.0b	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))
5.4b	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
5.5b	(log.f64 (sqrt.f64 (-.f64 1 x)))

rewrite77.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

172×	`*-un-lft-identity_binary64_1442`
109×	`add-sqr-sqrt_binary64_1464`
108×	`times-frac_binary64_1448`
102×	`log-prod_binary64_1528`
90×	`sqrt-prod_binary64_1458`
64×	`add-cube-cbrt_binary64_1477`
42×	`associate-+r+_binary64_1374`
34×	`distribute-lft-out_binary64_1393`
30×	`difference-of-squares_binary64_1411`
15×	`distribute-lft-out--_binary64_1394`
12×	`pow1_binary64_1503`
10×	`add-exp-log_binary64_1480`
9×	`associate-/r*_binary64_1386` `associate-+l+_binary64_1375` `log-pow_binary64_1531` `distribute-neg-in_binary64_1403`
8×	`sqrt-div_binary64_1459`
6×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
5×	`add-log-exp_binary64_1481`
4×	`associate-/l*_binary64_1387` `distribute-rgt-neg-in_binary64_1400` `flip3--_binary64_1446` `flip--_binary64_1417` `log-div_binary64_1529`
3×	`div-inv_binary64_1439` `rem-log-exp_binary64_1483`
2×	`sum-log_binary64_1533` `associate-/l/_binary64_1389` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493`
1×	`sqrt-pow1_binary64_1460` `cbrt-undiv_binary64_1476` `associate-+r-_binary64_1376` `clear-num_binary64_1441` `+-commutative_binary64_1372` `neg-log_binary64_1535` `frac-2neg_binary64_1453` `pow1/2_binary64_1522` `associate-+l-_binary64_1377` `neg-sub0_binary64_1437`

Counts

4 → 211

Calls

4 calls:

23.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
11.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))
10.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))

series171.0ms (3%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
35.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
25.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
23.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5064	5126

prune397.0ms (7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	223	3	226

Error

Counts

226 → 3

Compiler

Compiled 5793 to 4743 computations (18.1% saved)

regimes146.0ms (2.6%)

Accuracy

Total 0.2b remaining (96.4%)

Threshold costs 0.2b (96.4%)

Compiler

Compiled 1678 to 1454 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.9s (50.3%)

Algorithm

1×

intervals

Results

1.5s	4035×	body	1024	valid
418.0ms	1955×	body	512	valid
209.0ms	396×	body	2048	valid
130.0ms	1017×	body	256	valid
37.0ms	597×	body	128	valid

Compiler

Compiled 406 to 352 computations (13.3% saved)

Details

analyze341.0ms (6%)

sample78.0ms (1.4%)

simplify235.0ms (4.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.4%)

series51.0ms (0.9%)

simplify75.0ms (1.3%)

prune118.0ms (2.1%)

localize10.0ms (0.2%)

rewrite23.0ms (0.4%)

series144.0ms (2.5%)

simplify68.0ms (1.2%)

prune91.0ms (1.6%)

localize14.0ms (0.3%)

rewrite68.0ms (1.2%)

series96.0ms (1.7%)

simplify163.0ms (2.9%)

prune297.0ms (5.2%)

localize11.0ms (0.2%)

rewrite77.0ms (1.4%)

series171.0ms (3%)

simplify99.0ms (1.7%)

prune397.0ms (7%)

regimes146.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (50.3%)

Profiling