Details

analyze7.0ms (0.1%)

Algorithm

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)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	34×	body	1024	valid
6.0ms	53×	body	512	valid
5.0ms	148×	body	128	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify122.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

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

10.0b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.1%)

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)))

rewrite404.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

9.0b

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` `associate-/r/_binary64_1047` `difference-of-sqr-1_binary64_1071`
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:

45.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
25.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series262.0ms (3.5%)

Error

0.1b

Counts

4 → 47

Calls

4 calls:

91.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
42.0ms	(/.f64 1 (+.f64 x 1))
41.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
37.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1738 to 1453 computations (16.4% saved)

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4938	3281
1	4938	3281

prune315.0ms (4.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	203	5	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	204	5	209

Error

0.1b

Counts

209 → 5

Compiler

Compiled 4238 to 3360 computations (20.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
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))
18.3b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite602.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary64_1123`
45×	`*-un-lft-identity_binary64_1101`
34×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
32×	`frac-add_binary64_1109`
27×	`times-frac_binary64_1107`
24×	`add-cube-cbrt_binary64_1136`
20×	`frac-times_binary64_1111` `cancel-sign-sub-inv_binary64_1067`
18×	`associate-/l/_binary64_1048`
17×	`difference-of-squares_binary64_1070`
16×	`flip3--_binary64_1105` `flip--_binary64_1076`
12×	`distribute-rgt-in_binary64_1051` `associate-+l+_binary64_1034` `distribute-lft-in_binary64_1050`
11×	`add-log-exp_binary64_1140`
10×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
9×	`associate-/r*_binary64_1045`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162`
5×	`distribute-rgt1-in_binary64_1057` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `associate-l_binary64_1042` `associate-r_binary64_1041`
4×	`sum-log_binary64_1192` `sub-neg_binary64_1094` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129` `sqr-pow_binary64_1073` `unpow3_binary64_1167` `distribute-rgt-out--_binary64_1055`
3×	`associate-/l*_binary64_1046`
2×	`+-commutative_binary64_1031` `associate-/r/_binary64_1047`
1×	`associate-+r+_binary64_1033` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `difference-of-sqr--1_binary64_1072` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032`

Counts

4 → 167

Calls

4 calls:

40.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
27.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
11.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 8277 to 4697 computations (43.3% saved)

series295.0ms (4%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

119.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
69.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
49.0ms	(+.f64 x (*.f64 x x))
9.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 1135 to 849 computations (25.2% saved)

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4957	7399
1	4957	7399

prune420.0ms (5.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	197	4	201

Error

0.0b

Counts

201 → 4

Compiler

Compiled 7907 to 4639 computations (41.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) x)
0.1b	(/.f64 2 (-.f64 (pow.f64 x 3) x))

rewrite103.0ms (1.4%)

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:

8.0ms	(/.f64 2 (-.f64 (pow.f64 x 3) x))
7.0ms	(-.f64 (pow.f64 x 3) x)

Compiler

Compiled 1183 to 851 computations (28.1% saved)

series138.0ms (1.9%)

Error

0.0b

Counts

2 → 17

Calls

2 calls:

71.0ms	(/.f64 2 (-.f64 (pow.f64 x 3) x))
54.0ms	(-.f64 (pow.f64 x 3) x)

Compiler

Compiled 469 to 411 computations (12.4% saved)

simplify175.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4924	1460
1	4924	1460

prune95.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	90	4	94

Error

Counts

94 → 4

Compiler

Compiled 1261 to 924 computations (26.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite166.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

141×	`times-frac_binary64_1107`
78×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
64×	`add-cube-cbrt_binary64_1136`
28×	`difference-of-squares_binary64_1070`
14×	`difference-of-sqr-1_binary64_1071`
13×	`associate-/l*_binary64_1046`
8×	`div-inv_binary64_1098`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`associate-/r/_binary64_1047`
1×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

1 → 114

Calls

1 calls:

10.0ms

(/.f64 (/.f64 2 x) (-.f64 (*.f64 x x) 1))

Compiler

Compiled 2334 to 1536 computations (34.2% saved)

series77.0ms (1%)

Error

Counts

1 → 11

Calls

1 calls:

60.0ms

(/.f64 (/.f64 2 x) (-.f64 (*.f64 x x) 1))

Compiler

Compiled 376 to 333 computations (11.4% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5121	3044

prune137.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 2256 to 1512 computations (33% saved)

regimes429.0ms (5.8%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 4745 to 3840 computations (19.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample3.3s (44.7%)

Algorithm

1×

intervals

Results

228.0ms	1268×	body	1024	valid
215.0ms	1534×	body	512	valid
210.0ms	4453×	body	128	valid
70.0ms	745×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 2292 to 1852 computations (19.2% saved)

Details

analyze7.0ms (0.1%)

sample31.0ms (0.4%)

simplify122.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite404.0ms (5.4%)

series262.0ms (3.5%)

simplify106.0ms (1.4%)

prune315.0ms (4.2%)

localize13.0ms (0.2%)

rewrite602.0ms (8.1%)

series295.0ms (4%)

simplify123.0ms (1.7%)

prune420.0ms (5.6%)

localize4.0ms (0.1%)

rewrite103.0ms (1.4%)

series138.0ms (1.9%)

simplify175.0ms (2.3%)

prune95.0ms (1.3%)

localize8.0ms (0.1%)

rewrite166.0ms (2.2%)

series77.0ms (1%)

simplify73.0ms (1%)

prune137.0ms (1.8%)

regimes429.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (44.7%)

Profiling