Details

analyze5.0ms (0.1%)

Algorithm

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)

sample85.0ms (1.1%)

Algorithm

1×

intervals

Results

49.0ms	126×	body	1024	valid
17.0ms	78×	body	512	valid
8.0ms	13×	body	2048	valid
3.0ms	24×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify181.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune3.0ms (0%)

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

Merged error: 59.5b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1088`
52×	`add-sqr-sqrt_binary64_1109`
48×	`times-frac_binary64_1094`
30×	`log-prod_binary64_1171`
25×	`add-cube-cbrt_binary64_1120`
18×	`difference-of-squares_binary64_1057`
13×	`distribute-lft-out_binary64_1041`
9×	`distribute-lft-out--_binary64_1042`
7×	`add-exp-log_binary64_1123`
6×	`associate-/r*_binary64_1034`
4×	`add-cbrt-cube_binary64_1121` `associate-/r/_binary64_1036` `associate-/l*_binary64_1035`
3×	`pow1_binary64_1146`
2×	`rem-log-exp_binary64_1126` `flip3--_binary64_1092` `associate-/l/_binary64_1037` `flip--_binary64_1063` `div-exp_binary64_1136` `add-log-exp_binary64_1124` `div-inv_binary64_1085`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `log-pow_binary64_1174` `log-div_binary64_1172` `flip-+_binary64_1062` `cbrt-undiv_binary64_1119` `flip3-+_binary64_1091`

Counts

2 → 91

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series86.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5286	1898

prune114.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 1733 to 1382 computations (20.3% saved)

localize10.0ms (0.1%)

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)

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1109`
15×	`associate-l_binary64_1031`
13×	`add-exp-log_binary64_1123`
10×	`associate-r_binary64_1030` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
8×	`unpow-prod-down_binary64_1164`
7×	`add-cbrt-cube_binary64_1121` `unswap-sqr_binary64_1056`
6×	`prod-exp_binary64_1134`
5×	`add-log-exp_binary64_1124`
4×	`cube-prod_binary64_1113` `sqr-pow_binary64_1060`
3×	`pow1_binary64_1146`
2×	`*-commutative_binary64_1021` `cbrt-unprod_binary64_1118` `pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
1×	`unpow3_binary64_1151` `cube-mult_binary64_1115` `sum-log_binary64_1176` `+-commutative_binary64_1020` `flip-+_binary64_1062` `flip3-+_binary64_1091`

Counts

3 → 67

Calls

3 calls:

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

series313.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

195.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
60.0ms	(*.f64 2/5 (pow.f64 x 5))
59.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4863	889
1	4863	889

prune89.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 1669 to 1213 computations (27.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) -2) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
0.0b	(/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))
5.3b	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
5.4b	(log.f64 (cbrt.f64 (-.f64 1 x)))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`*-un-lft-identity_binary64_1088`
108×	`times-frac_binary64_1094`
104×	`add-sqr-sqrt_binary64_1109`
93×	`log-prod_binary64_1171`
84×	`cbrt-prod_binary64_1116`
62×	`add-cube-cbrt_binary64_1120`
42×	`associate-+r+_binary64_1022`
28×	`distribute-lft-out_binary64_1041` `difference-of-squares_binary64_1057`
14×	`distribute-lft-out--_binary64_1042`
10×	`add-exp-log_binary64_1123`
9×	`associate-/r*_binary64_1034`
8×	`cbrt-div_binary64_1117`
6×	`associate-/r/_binary64_1036` `pow1_binary64_1146`
5×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124`
4×	`flip3--_binary64_1092` `flip--_binary64_1063` `log-div_binary64_1172` `associate-/l*_binary64_1035`
3×	`log-pow_binary64_1174` `rem-log-exp_binary64_1126` `div-inv_binary64_1085`
2×	`associate-/l/_binary64_1037` `div-exp_binary64_1136` `flip-+_binary64_1062` `flip3-+_binary64_1091`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-+r-_binary64_1024` `sum-log_binary64_1176` `+-commutative_binary64_1020` `cbrt-undiv_binary64_1119` `pow1/3_binary64_1167`

Counts

4 → 193

Calls

4 calls:

18.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) -2) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
10.0ms	(/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))
10.0ms	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
5.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))

series466.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) -2) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
82.0ms	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
59.0ms	(/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))
56.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4929	4956
1	4929	4956

prune393.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	205	2	207

Merged error: 0.0b

Counts

207 → 2

Compiler

Compiled 5740 to 4810 computations (16.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 x)))))
4.1b	(log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
5.2b	(log.f64 (cbrt.f64 (+.f64 1 x)))
5.4b	(log.f64 (cbrt.f64 (-.f64 1 x)))

rewrite63.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`cbrt-prod_binary64_1116`
116×	`*-un-lft-identity_binary64_1088`
114×	`log-prod_binary64_1171`
102×	`add-sqr-sqrt_binary64_1109`
84×	`times-frac_binary64_1094`
49×	`add-cube-cbrt_binary64_1120`
30×	`difference-of-squares_binary64_1057`
22×	`sqrt-prod_binary64_1103`
15×	`distribute-lft-out_binary64_1041` `distribute-lft-out--_binary64_1042`
10×	`add-exp-log_binary64_1123`
8×	`cbrt-div_binary64_1117` `pow1_binary64_1146`
7×	`log-pow_binary64_1174` `log-div_binary64_1172`
5×	`rem-log-exp_binary64_1126`
4×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124`
3×	`pow1/3_binary64_1167`
2×	`flip3--_binary64_1092` `flip--_binary64_1063` `associate-/r/_binary64_1036` `flip-+_binary64_1062` `flip3-+_binary64_1091`
1×	`div-exp_binary64_1136` `div-inv_binary64_1085`

Counts

4 → 161

Calls

4 calls:

15.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 x)))))
5.0ms	(log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
5.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))
4.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))

series1.2s (16.1%)

Counts

4 → 12

Calls

4 calls:

984.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 x)))))
121.0ms	(log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
55.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))
53.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	5876
1	4945	5876

prune809.0ms (10.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	173	2	175

Merged error: 0b

Counts

175 → 2

Compiler

Compiled 8525 to 6770 computations (20.6% saved)

regimes165.0ms (2.2%)

Compiler: Compiled 1939 to 1696 computations (12.5% 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%)

sample3.0s (40.2%)

Algorithm

1×

intervals

Results

1.6s	3973×	body	1024	valid
464.0ms	2020×	body	512	valid
234.0ms	392×	body	2048	valid
130.0ms	1015×	body	256	valid
36.0ms	600×	body	128	valid

Compiler

Compiled 449 to 393 computations (12.5% saved)

Details

analyze5.0ms (0.1%)

sample85.0ms (1.1%)

simplify181.0ms (2.4%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite28.0ms (0.4%)

series86.0ms (1.1%)

simplify89.0ms (1.2%)

prune114.0ms (1.5%)

localize10.0ms (0.1%)

rewrite24.0ms (0.3%)

series313.0ms (4.2%)

simplify51.0ms (0.7%)

prune89.0ms (1.2%)

localize14.0ms (0.2%)

rewrite69.0ms (0.9%)

series466.0ms (6.2%)

simplify89.0ms (1.2%)

prune393.0ms (5.2%)

localize23.0ms (0.3%)

rewrite63.0ms (0.8%)

series1.2s (16.1%)

simplify119.0ms (1.6%)

prune809.0ms (10.7%)

regimes165.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (40.2%)

Profiling