Details

analyze133.0ms (2%)

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)

sample42.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	54×	body	512	valid
8.0ms	40×	body	1024	valid
8.0ms	34×	body	256	valid
7.0ms	128×	body	128	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune4.0ms (0.1%)

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

11.0b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize16.0ms (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))
2.1b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite374.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

10.7b

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:

55.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
23.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
7.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series265.0ms (3.9%)

Error

0.3b

Counts

4 → 47

Calls

4 calls:

101.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
44.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
32.0ms	(/.f64 1 (+.f64 x 1))
31.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1738 to 1453 computations (16.4% saved)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4938	3281
1	4938	3281

prune317.0ms (4.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	204	4	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	4	209

Error

0.3b

Counts

209 → 4

Compiler

Compiled 4196 to 3327 computations (20.7% saved)

localize13.0ms (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)))
16.8b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite466.0ms (6.9%)

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:

32.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
16.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
6.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 7415 to 4139 computations (44.2% saved)

series192.0ms (2.9%)

Error

0.3b

Counts

4 → 26

Calls

4 calls:

71.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
42.0ms	(+.f64 x (*.f64 x x))
38.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
16.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 1058 to 809 computations (23.5% saved)

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5005	6741

prune351.0ms (5.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	174	1	175

Error

0.3b

Counts

175 → 1

Compiler

Compiled 7059 to 4104 computations (41.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite86.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64_1123`
27×	`times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
16×	`difference-of-squares_binary64_1070`
15×	`add-cube-cbrt_binary64_1136`
9×	`associate-/r*_binary64_1045`
4×	`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`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/l*_binary64_1046`
2×	`associate-/r/_binary64_1047`
1×	`pow1_binary64_1162` `div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

1 → 53

Calls

1 calls:

10.0ms

(/.f64 2 (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 899 to 658 computations (26.8% saved)

series92.0ms (1.4%)

Error

0.3b

Counts

1 → 11

Calls

1 calls:

83.0ms

(/.f64 2 (-.f64 (pow.f64 x 3) x))

Compiler

Compiled 376 to 333 computations (11.4% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4925	1199
1	4925	1199

prune79.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

0.0b

Counts

65 → 5

Compiler

Compiled 992 to 742 computations (25.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite157.0ms (2.3%)

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)

series75.0ms (1.1%)

Error

0.0b

Counts

1 → 11

Calls

1 calls:

65.0ms

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

Compiler

Compiled 376 to 333 computations (11.4% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5121	3044

prune154.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	125	5	130

Error

Counts

130 → 5

Compiler

Compiled 2256 to 1512 computations (33% saved)

regimes408.0ms (6.1%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 4315 to 3435 computations (20.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample3.1s (45.8%)

Algorithm

1×

intervals

Results

237.0ms	1341×	body	1024	valid
219.0ms	4433×	body	128	valid
200.0ms	1493×	body	512	valid
70.0ms	733×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2087 to 1657 computations (20.6% saved)

Details

analyze133.0ms (2%)

sample42.0ms (0.6%)

simplify25.0ms (0.4%)

prune4.0ms (0.1%)

localize16.0ms (0.2%)

rewrite374.0ms (5.6%)

series265.0ms (3.9%)

simplify113.0ms (1.7%)

prune317.0ms (4.7%)

localize13.0ms (0.2%)

rewrite466.0ms (6.9%)

series192.0ms (2.9%)

simplify107.0ms (1.6%)

prune351.0ms (5.2%)

localize4.0ms (0.1%)

rewrite86.0ms (1.3%)

series92.0ms (1.4%)

simplify79.0ms (1.2%)

prune79.0ms (1.2%)

localize5.0ms (0.1%)

rewrite157.0ms (2.3%)

series75.0ms (1.1%)

simplify79.0ms (1.2%)

prune154.0ms (2.3%)

regimes408.0ms (6.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.1s (45.8%)

Profiling