Details

analyze91.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Symmetry

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

16.7b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)
16.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite55.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

Rules

10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107`
4×	`add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow1_binary64_1162` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

2 → 40

Calls

2 calls:

7.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
4.0ms	(+.f64 (*.f64 x x) 1)

Compiler

Compiled 627 to 323 computations (48.5% saved)

series83.0ms (2.6%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

40.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
33.0ms	(+.f64 (*.f64 x x) 1)

Compiler

Compiled 223 to 177 computations (20.6% saved)

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5772	715

prune42.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 679 to 370 computations (45.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.2b	(/.f64 1 (pow.f64 x 3))

rewrite249.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

128×	`times-frac_binary64_1107`
122×	`add-sqr-sqrt_binary64_1123`
90×	`*-un-lft-identity_binary64_1101`
53×	`add-cube-cbrt_binary64_1136`
40×	`cancel-sign-sub-inv_binary64_1067`
27×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129` `difference-of-squares_binary64_1070`
13×	`sqr-pow_binary64_1073`
12×	`unpow3_binary64_1167` `associate-/r*_binary64_1045`
11×	`add-exp-log_binary64_1139`
7×	`cube-mult_binary64_1131` `div-inv_binary64_1098` `distribute-lft-out--_binary64_1053`
6×	`div-exp_binary64_1152`
5×	`distribute-rgt-out--_binary64_1055`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow-to-exp_binary64_1170` `1-exp_binary64_1145` `pow-exp_binary64_1169` `rec-exp_binary64_1151` `associate-/l*_binary64_1046`
2×	`pow1_binary64_1162`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `diff-log_binary64_1193` `frac-sub_binary64_1110` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076`

Counts

2 → 164

Calls

2 calls:

37.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
6.0ms	(/.f64 1 (pow.f64 x 3))

Compiler

Compiled 3048 to 2368 computations (22.3% saved)

series79.0ms (2.5%)

Error

Counts

2 → 9

Calls

2 calls:

44.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
30.0ms	(/.f64 1 (pow.f64 x 3))

Compiler

Compiled 184 to 158 computations (14.1% saved)

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4987	2404
1	4987	2404

prune147.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	173	3	176

Error

Counts

176 → 3

Compiler

Compiled 2371 to 1716 computations (27.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x x) (*.f64 x x))
1.4b	(/.f64 x (+.f64 1 (pow.f64 x 6)))
14.2b	(+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (.f64 x x) 1)))
27.4b	(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (*.f64 x x) 1))))

rewrite312.0ms (9.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

117×	`pow1_binary64_1162`
36×	`*-un-lft-identity_binary64_1101` `pow-prod-up_binary64_1171`
27×	`add-sqr-sqrt_binary64_1123`
25×	`times-frac_binary64_1107`
24×	`pow-prod-down_binary64_1172`
23×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
22×	`add-cube-cbrt_binary64_1136` `pow-sqr_binary64_1074`
19×	`associate-l_binary64_1042`
18×	`pow-plus_binary64_1164`
13×	`pow2_binary64_1182`
10×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
9×	`add-log-exp_binary64_1140`
7×	`distribute-lft-out_binary64_1052`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`associate-/r/_binary64_1047` `associate-r_binary64_1041` `associate-/r*_binary64_1045`
3×	`unswap-sqr_binary64_1069` `associate-/l*_binary64_1046`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-times_binary64_1111` `associate-r/_binary64_1043` `div-inv_binary64_1098` `-commutative_binary64_1032` `sum-log_binary64_1192` `associate-+r+_binary64_1033`
1×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-*l/_binary64_1044` `diff-log_binary64_1193` `associate-+r-_binary64_1035` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `+-commutative_binary64_1031` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `swap-sqr_binary64_1068`

Counts

4 → 154

Calls

4 calls:

27.0ms	(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (*.f64 x x) 1))))
23.0ms	(+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (.f64 x x) 1)))
9.0ms	(.f64 (.f64 x x) (*.f64 x x))
7.0ms	(/.f64 x (+.f64 1 (pow.f64 x 6)))

Compiler

Compiled 5286 to 3033 computations (42.6% saved)

series309.0ms (9.6%)

Error

Counts

4 → 26

Calls

4 calls:

97.0ms	(/.f64 x (+.f64 1 (pow.f64 x 6)))
85.0ms	(+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (.f64 x x) 1)))
77.0ms	(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 1 1) (.f64 (*.f64 x x) 1))))
31.0ms	(.f64 (.f64 x x) (*.f64 x x))

Compiler

Compiled 974 to 701 computations (28% saved)

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4958	2411
1	4958	2411

prune231.0ms (7.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	3	183

Error

Counts

183 → 3

Compiler

Compiled 4485 to 2882 computations (35.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (pow.f64 x 3))
20.8b	(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))

rewrite79.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cancel-sign-sub-inv_binary64_1067`
16×	`*-un-lft-identity_binary64_1101`
15×	`add-sqr-sqrt_binary64_1123`
13×	`associate-+l+_binary64_1034`
9×	`add-log-exp_binary64_1140`
8×	`add-cube-cbrt_binary64_1136`
7×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
4×	`difference-of-squares_binary64_1070`
3×	`unpow3_binary64_1167` `sqr-pow_binary64_1073`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `sub-neg_binary64_1094` `cube-mult_binary64_1131`
1×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip3--_binary64_1105` `flip--_binary64_1076` `distribute-rgt-out--_binary64_1055`

Counts

2 → 57

Calls

2 calls:

15.0ms	(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
9.0ms	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 933 to 632 computations (32.3% saved)

series106.0ms (3.3%)

Error

Counts

2 → 11

Calls

2 calls:

58.0ms	(-.f64 x (pow.f64 x 3))
42.0ms	(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))

Compiler

Compiled 192 to 148 computations (22.9% saved)

simplify86.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4918	763
1	4918	763

prune50.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 787 to 537 computations (31.8% saved)

regimes147.0ms (4.6%)

Accuracy

Total 0.0b remaining (97.8%)

Threshold costs 0.0b (97.8%)

Compiler

Compiled 910 to 604 computations (33.6% saved)

bsearch35.0ms (1.1%)

Steps

Iters	Range		Point
9	0.10158509873603133	2793337.7193996008	44972.89088513332
9	-170181.62017261598	-0.788571394327719	-20238.151029596927

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	75	58
1	75	58

Removed

()

end0.0ms (0%)

sample828.0ms (25.7%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

128

valid

Compiler

Compiled 457 to 307 computations (32.8% saved)

Details

analyze91.0ms (2.8%)

sample13.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite55.0ms (1.7%)

series83.0ms (2.6%)

simplify81.0ms (2.5%)

prune42.0ms (1.3%)

localize6.0ms (0.2%)

rewrite249.0ms (7.7%)

series79.0ms (2.5%)

simplify88.0ms (2.7%)

prune147.0ms (4.6%)

localize13.0ms (0.4%)

rewrite312.0ms (9.7%)

series309.0ms (9.6%)

simplify63.0ms (1.9%)

prune231.0ms (7.2%)

localize6.0ms (0.2%)

rewrite79.0ms (2.5%)

series106.0ms (3.3%)

simplify86.0ms (2.7%)

prune50.0ms (1.6%)

regimes147.0ms (4.6%)

bsearch35.0ms (1.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample828.0ms (25.7%)

Profiling