Details

analyze460.0ms (4.8%)

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)

sample153.0ms (1.6%)

Algorithm

1×

intervals

Results

85.0ms	127×	body	1024	valid
31.0ms	77×	body	512	valid
15.0ms	15×	body	2048	valid
4.0ms	20×	body	256	valid
2.0ms	17×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify352.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (340.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune11.0ms (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

58.4b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
4.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite225.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

58.4b

Rules

78×	`*-un-lft-identity_binary64_1101`
52×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
30×	`log-prod_binary64_1187`
25×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139`
6×	`associate-/r*_binary64_1045`
4×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `associate-/l*_binary64_1046`
3×	`pow1_binary64_1162`
2×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `div-exp_binary64_1152` `rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
1×	`log-pow_binary64_1190` `log-div_binary64_1188` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

2 → 91

Calls

2 calls:

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

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series97.0ms (1%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

56.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5617	1927

prune146.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 1792 to 1423 computations (20.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite175.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
5×	`add-log-exp_binary64_1140`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

3 → 67

Calls

3 calls:

12.0ms	(*.f64 2/3 (pow.f64 x 3))
10.0ms	(*.f64 2/5 (pow.f64 x 5))
10.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Compiler

Compiled 1627 to 1207 computations (25.8% saved)

series241.0ms (2.5%)

Error

Counts

3 → 12

Calls

3 calls:

141.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
52.0ms	(*.f64 2/5 (pow.f64 x 5))
38.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 525 to 410 computations (21.9% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5320	897

prune150.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1704 to 1235 computations (27.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
0.0b	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
4.4b	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
4.4b	(log.f64 (+.f64 x 1))

rewrite379.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`*-un-lft-identity_binary64_1101`
60×	`log-prod_binary64_1187` `times-frac_binary64_1107`
50×	`add-sqr-sqrt_binary64_1123`
37×	`add-cube-cbrt_binary64_1136`
26×	`difference-of-squares_binary64_1070` `associate-+l+_binary64_1034`
22×	`distribute-lft-out_binary64_1052`
10×	`pow1_binary64_1162` `add-exp-log_binary64_1139`
6×	`log-pow_binary64_1190` `log-div_binary64_1188` `add-cbrt-cube_binary64_1137` `associate-/r/_binary64_1047`
5×	`associate-/r*_binary64_1045`
4×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `add-log-exp_binary64_1140` `associate-+r+_binary64_1033` `associate-/l*_binary64_1046`
3×	`rem-log-exp_binary64_1142` `div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`div-exp_binary64_1152` `associate-+r-_binary64_1035` `associate-/l/_binary64_1048`
1×	`sum-log_binary64_1192` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 145

Calls

4 calls:

31.0ms	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
16.0ms	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
15.0ms	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
10.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 3956 to 2890 computations (26.9% saved)

series263.0ms (2.7%)

Error

Counts

4 → 26

Calls

4 calls:

106.0ms	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
54.0ms	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
32.0ms	(log.f64 (+.f64 x 1))
26.0ms	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 950 to 793 computations (16.5% saved)

simplify204.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4912	3338
1	4912	3338

prune348.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	171	3	174

Error

Counts

174 → 3

Compiler

Compiled 3994 to 2946 computations (26.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
4.4b	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
4.5b	(log.f64 (sqrt.f64 (-.f64 1 x)))

rewrite507.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

116×	`*-un-lft-identity_binary64_1101`
79×	`add-sqr-sqrt_binary64_1123`
72×	`times-frac_binary64_1107`
66×	`sqrt-prod_binary64_1117`
51×	`log-prod_binary64_1187`
45×	`add-cube-cbrt_binary64_1136`
22×	`difference-of-squares_binary64_1070`
19×	`distribute-lft-out_binary64_1052`
11×	`distribute-lft-out--_binary64_1053`
10×	`add-exp-log_binary64_1139`
9×	`associate-/r*_binary64_1045`
8×	`pow1_binary64_1162` `sqrt-div_binary64_1118`
6×	`add-cbrt-cube_binary64_1137`
4×	`log-pow_binary64_1190` `flip3--_binary64_1105` `flip--_binary64_1076` `add-log-exp_binary64_1140` `associate-/r/_binary64_1047` `associate-/l*_binary64_1046`
3×	`log-div_binary64_1188` `rem-log-exp_binary64_1142`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `div-inv_binary64_1098` `div-exp_binary64_1152` `associate-/l/_binary64_1048`
1×	`cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075` `rem-sqrt-square_binary64_1114`

Counts

4 → 158

Calls

4 calls:

23.0ms	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
19.0ms	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
9.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
7.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 4380 to 3648 computations (16.7% saved)

series217.0ms (2.3%)

Error

Counts

4 → 24

Calls

4 calls:

62.0ms	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
54.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
33.0ms	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
28.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 1097 to 946 computations (13.8% saved)

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4962	3463
1	4962	3463

prune412.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	3	185

Error

Counts

185 → 3

Compiler

Compiled 4480 to 3707 computations (17.3% saved)

regimes286.0ms (3%)

Accuracy

Total 0.2b remaining (98.5%)

Threshold costs 0.2b (98.5%)

Compiler

Compiled 1915 to 1663 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample4.6s (47.9%)

Algorithm

1×

intervals

Results

2.4s	4059×	body	1024	valid
672.0ms	1997×	body	512	valid
388.0ms	454×	body	2048	valid
181.0ms	954×	body	256	valid
48.0ms	536×	body	128	valid

Compiler

Compiled 448 to 390 computations (12.9% saved)

Details

analyze460.0ms (4.8%)

sample153.0ms (1.6%)

simplify352.0ms (3.6%)

prune11.0ms (0.1%)

localize9.0ms (0.1%)

rewrite225.0ms (2.3%)

series97.0ms (1%)

simplify85.0ms (0.9%)

prune146.0ms (1.5%)

localize21.0ms (0.2%)

rewrite175.0ms (1.8%)

series241.0ms (2.5%)

simplify90.0ms (0.9%)

prune150.0ms (1.6%)

localize22.0ms (0.2%)

rewrite379.0ms (3.9%)

series263.0ms (2.7%)

simplify204.0ms (2.1%)

prune348.0ms (3.6%)

localize22.0ms (0.2%)

rewrite507.0ms (5.3%)

series217.0ms (2.3%)

simplify153.0ms (1.6%)

prune412.0ms (4.3%)

regimes286.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.6s (47.9%)

Profiling