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 (0.5%)

Algorithm

1×

intervals

Results

11.0ms	44×	body	1024	valid
6.0ms	144×	body	128	valid
5.0ms	50×	body	512	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify101.0ms (1.6%)

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

8.1b

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))
1.3b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite331.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

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:

44.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
19.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series238.0ms (3.8%)

Error

0.5b

Counts

4 → 47

Calls

4 calls:

99.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
30.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
30.0ms	(/.f64 1 (+.f64 x 1))
30.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1738 to 1453 computations (16.4% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4938	3281
1	4938	3281

prune233.0ms (3.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	3	209

Error

0.5b

Counts

209 → 3

Compiler

Compiled 4180 to 3314 computations (20.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
0.0b	(-.f64 x (+.f64 2 (*.f64 x 2)))
16.8b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite444.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

60×	`add-sqr-sqrt_binary64_1123`
48×	`*-un-lft-identity_binary64_1101`
33×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
32×	`frac-add_binary64_1109`
27×	`times-frac_binary64_1107`
25×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
20×	`frac-times_binary64_1111`
18×	`difference-of-squares_binary64_1070` `associate-/l/_binary64_1048`
17×	`flip3--_binary64_1105` `flip--_binary64_1076`
14×	`add-log-exp_binary64_1140`
12×	`distribute-rgt-in_binary64_1051` `associate-+l+_binary64_1034` `distribute-lft-in_binary64_1050`
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` `distribute-lft-out--_binary64_1053`
5×	`sub-neg_binary64_1094` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out_binary64_1054` `associate-l_binary64_1042` `associate-r_binary64_1041`
4×	`sum-log_binary64_1192` `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×	`diff-log_binary64_1193` `associate-/r/_binary64_1047`
1×	`associate-+r+_binary64_1033` `+-commutative_binary64_1031` `associate--r+_binary64_1037` `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` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 174

Calls

4 calls:

22.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
18.0ms	(+.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))))
6.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))

Compiler

Compiled 8507 to 4878 computations (42.7% saved)

series180.0ms (2.9%)

Error

0.5b

Counts

4 → 29

Calls

4 calls:

63.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
62.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
23.0ms	(-.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 1096 to 794 computations (27.6% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4991	7530
1	4991	7530

prune355.0ms (5.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	203	3	206

Error

0.5b

Counts

206 → 3

Compiler

Compiled 8043 to 4672 computations (41.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (/.f64 1 x) (pow.f64 x 3)))
0.0b	(+.f64 (/.f64 1 x) (pow.f64 x 3))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

12×	`*-un-lft-identity_binary64_1101`
9×	`add-log-exp_binary64_1140`
7×	`distribute-lft-out_binary64_1052`
4×	`sum-log_binary64_1192`
2×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `flip-+_binary64_1075` `div-inv_binary64_1098` `+-commutative_binary64_1031`
1×	`associate-+r+_binary64_1033`

Counts

2 → 29

Calls

2 calls:

14.0ms	(+.f64 x (+.f64 (/.f64 1 x) (pow.f64 x 3)))
12.0ms	(+.f64 (/.f64 1 x) (pow.f64 x 3))

Compiler

Compiled 555 to 417 computations (24.9% saved)

series144.0ms (2.3%)

Error

0.5b

Counts

2 → 15

Calls

2 calls:

72.0ms	(+.f64 x (+.f64 (/.f64 1 x) (pow.f64 x 3)))
64.0ms	(+.f64 (/.f64 1 x) (pow.f64 x 3))

Compiler

Compiled 312 to 250 computations (19.9% saved)

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4953	581
1	4953	581

prune38.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Error

0.5b

Counts

47 → 3

Compiler

Compiled 633 to 473 computations (25.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 7))
0.0b	(/.f64 2 (pow.f64 x 5))
0.1b	(/.f64 2 (pow.f64 x 9))
0.5b	(/.f64 2 (pow.f64 x 3))

rewrite458.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

99×	`times-frac_binary64_1107`
77×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
48×	`unpow-prod-down_binary64_1180`
33×	`associate-/r*_binary64_1045`
24×	`add-exp-log_binary64_1139`
16×	`sqr-pow_binary64_1073`
12×	`div-exp_binary64_1152` `add-cbrt-cube_binary64_1137` `cube-prod_binary64_1129` `associate-/l*_binary64_1046`
4×	`pow1_binary64_1162` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `unpow3_binary64_1167` `cube-mult_binary64_1131` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 200

Calls

4 calls:

6.0ms	(/.f64 2 (pow.f64 x 3))
5.0ms	(/.f64 2 (pow.f64 x 9))
5.0ms	(/.f64 2 (pow.f64 x 5))
4.0ms	(/.f64 2 (pow.f64 x 7))

Compiler

Compiled 6197 to 5099 computations (17.7% saved)

series188.0ms (3%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 2 (pow.f64 x 9))
45.0ms	(/.f64 2 (pow.f64 x 7))
44.0ms	(/.f64 2 (pow.f64 x 5))
35.0ms	(/.f64 2 (pow.f64 x 3))

Compiler

Compiled 828 to 709 computations (14.4% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4989	2864
1	4989	2864

prune443.0ms (7.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	209	6	215

Error

Counts

215 → 6

Compiler

Compiled 6126 to 4994 computations (18.5% saved)

regimes267.0ms (4.3%)

Accuracy

Total 0.3b remaining (99.1%)

Threshold costs 0.3b (99.1%)

Compiler

Compiled 3410 to 2881 computations (15.5% 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%)

sample2.3s (36.5%)

Algorithm

1×

intervals

Results

190.0ms	1328×	body	1024	valid
164.0ms	1511×	body	512	valid
164.0ms	4439×	body	128	valid
56.0ms	722×	body	256	valid

Compiler

Compiled 1658 to 1401 computations (15.5% saved)

Details

analyze7.0ms (0.1%)

sample31.0ms (0.5%)

simplify101.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite331.0ms (5.3%)

series238.0ms (3.8%)

simplify101.0ms (1.6%)

prune233.0ms (3.8%)

localize13.0ms (0.2%)

rewrite444.0ms (7.2%)

series180.0ms (2.9%)

simplify102.0ms (1.7%)

prune355.0ms (5.7%)

localize7.0ms (0.1%)

rewrite59.0ms (0.9%)

series144.0ms (2.3%)

simplify92.0ms (1.5%)

prune38.0ms (0.6%)

localize15.0ms (0.2%)

rewrite458.0ms (7.4%)

series188.0ms (3%)

simplify75.0ms (1.2%)

prune443.0ms (7.1%)

regimes267.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (36.5%)

Profiling