Details

analyze110.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	40×	body	1024	valid
6.0ms	53×	body	512	valid
5.0ms	137×	body	128	valid
2.0ms	26×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune3.0ms (0%)

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

Error

12.1b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
4.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite331.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

112×	`*-un-lft-identity_binary64_1101`
74×	`times-frac_binary64_1107`
72×	`add-sqr-sqrt_binary64_1123`
39×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
18×	`distribute-lft-out--_binary64_1053`
17×	`distribute-lft-out_binary64_1052`
14×	`associate-+l+_binary64_1034` `difference-of-squares_binary64_1070`
12×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
10×	`div-inv_binary64_1098`
8×	`add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
4×	`div-exp_binary64_1152` `difference-of-sqr-1_binary64_1071` `associate-/r/_binary64_1047`
3×	`frac-add_binary64_1109` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `frac-sub_binary64_1110` `flip3-+_binary64_1104` `flip-+_binary64_1075` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

4 → 161

Calls

4 calls:

44.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
9.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series234.0ms (4%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

95.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
29.0ms	(/.f64 1 (-.f64 x 1))
29.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1760 to 1471 computations (16.4% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5060	3303

prune258.0ms (4.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	4	210

Error

0.3b

Counts

210 → 4

Compiler

Compiled 4232 to 3356 computations (20.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
0.0b	(-.f64 x (+.f64 2 (*.f64 x 2)))
17.3b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite405.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

51×	`add-sqr-sqrt_binary64_1123`
39×	`*-un-lft-identity_binary64_1101`
32×	`frac-add_binary64_1109`
31×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
27×	`times-frac_binary64_1107`
21×	`add-cube-cbrt_binary64_1136`
18×	`associate-/l/_binary64_1048`
17×	`difference-of-squares_binary64_1070`
16×	`add-log-exp_binary64_1140` `frac-times_binary64_1111`
15×	`cancel-sign-sub-inv_binary64_1067`
14×	`flip3--_binary64_1105` `flip--_binary64_1076`
12×	`associate-+l+_binary64_1034`
9×	`associate-/r*_binary64_1045`
8×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
5×	`sum-log_binary64_1192` `distribute-lft-out--_binary64_1053`
4×	`pow1_binary64_1162` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out_binary64_1054` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129` `sqr-pow_binary64_1073` `unpow3_binary64_1167` `distribute-rgt-out--_binary64_1055`
3×	`sub-neg_binary64_1094` `associate-/l*_binary64_1046`
2×	`+-commutative_binary64_1031` `diff-log_binary64_1193` `associate-/r/_binary64_1047`
1×	`associate-+r+_binary64_1033` `associate--r+_binary64_1037` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 145

Calls

4 calls:

24.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
17.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
7.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 7415 to 4139 computations (44.2% saved)

series162.0ms (2.7%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

62.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
39.0ms	(+.f64 x (*.f64 x x))
26.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
9.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 1080 to 827 computations (23.4% saved)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5097	6765

prune339.0ms (5.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	172	4	176

Error

0.3b

Counts

176 → 4

Compiler

Compiled 7148 to 4172 computations (41.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) x)
0.3b	(/.f64 2 (-.f64 (pow.f64 x 3) x))

rewrite98.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`add-sqr-sqrt_binary64_1123`
32×	`*-un-lft-identity_binary64_1101`
27×	`times-frac_binary64_1107`
20×	`difference-of-squares_binary64_1070`
17×	`add-cube-cbrt_binary64_1136`
9×	`associate-/r*_binary64_1045`
5×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129` `sqr-pow_binary64_1073` `unpow3_binary64_1167` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053`
4×	`add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`associate-/l*_binary64_1046` `cancel-sign-sub-inv_binary64_1067`
2×	`pow1_binary64_1162` `flip3--_binary64_1105` `associate-/r/_binary64_1047` `flip--_binary64_1076`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `diff-log_binary64_1193` `sub-neg_binary64_1094`

Counts

2 → 73

Calls

2 calls:

9.0ms	(/.f64 2 (-.f64 (pow.f64 x 3) x))
8.0ms	(-.f64 (pow.f64 x 3) x)

Compiler

Compiled 1183 to 851 computations (28.1% saved)

series118.0ms (2%)

Error

0.3b

Counts

2 → 18

Calls

2 calls:

60.0ms	(/.f64 2 (-.f64 (pow.f64 x 3) x))
45.0ms	(-.f64 (pow.f64 x 3) x)

Compiler

Compiled 491 to 429 computations (12.6% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4898	1482
1	4898	1482

prune86.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Error

Counts

95 → 6

Compiler

Compiled 1303 to 960 computations (26.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (.f64 x x))))
0.5b	(/.f64 2 (+.f64 -1 (*.f64 x x)))

rewrite119.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1123`
34×	`times-frac_binary64_1107`
26×	`add-exp-log_binary64_1139` `*-un-lft-identity_binary64_1101`
24×	`add-cube-cbrt_binary64_1136`
16×	`add-cbrt-cube_binary64_1137`
15×	`associate-r_binary64_1041`
13×	`associate-l_binary64_1042`
9×	`div-exp_binary64_1152`
8×	`prod-exp_binary64_1150`
6×	`unswap-sqr_binary64_1069`
5×	`cbrt-undiv_binary64_1135`
4×	`pow1_binary64_1162` `associate-/r/_binary64_1047` `cbrt-unprod_binary64_1134`
3×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `flip-+_binary64_1075` `1-exp_binary64_1145` `rec-exp_binary64_1151`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `pow-prod-down_binary64_1172` `frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `*-commutative_binary64_1032`

Counts

2 → 87

Calls

2 calls:

14.0ms	(.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (.f64 x x))))
7.0ms	(/.f64 2 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 1813 to 1221 computations (32.7% saved)

series140.0ms (2.4%)

Error

Counts

2 → 24

Calls

2 calls:

58.0ms	(.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (.f64 x x))))
56.0ms	(/.f64 2 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 876 to 765 computations (12.7% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5062	1857

prune104.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	113	4	117

Error

Counts

117 → 4

Compiler

Compiled 1795 to 1248 computations (30.5% saved)

regimes346.0ms (5.8%)

Accuracy

Total 0.1b remaining (96.6%)

Threshold costs 0.1b (96.6%)

Compiler

Compiled 4276 to 3517 computations (17.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	13
1	9	13

end0.0ms (0%)

sample2.7s (44.8%)

Algorithm

1×

intervals

Results

193.0ms	1328×	body	1024	valid
169.0ms	1460×	body	512	valid
168.0ms	4456×	body	128	valid
62.0ms	756×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 2051 to 1684 computations (17.9% saved)

Details

analyze110.0ms (1.9%)

sample26.0ms (0.4%)

simplify14.0ms (0.2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite331.0ms (5.6%)

series234.0ms (4%)

simplify81.0ms (1.4%)

prune258.0ms (4.4%)

localize14.0ms (0.2%)

rewrite405.0ms (6.8%)

series162.0ms (2.7%)

simplify95.0ms (1.6%)

prune339.0ms (5.7%)

localize5.0ms (0.1%)

rewrite98.0ms (1.7%)

series118.0ms (2%)

simplify89.0ms (1.5%)

prune86.0ms (1.4%)

localize7.0ms (0.1%)

rewrite119.0ms (2%)

series140.0ms (2.4%)

simplify78.0ms (1.3%)

prune104.0ms (1.7%)

regimes346.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (44.8%)

Profiling