Details

analyze6.0ms (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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	47×	body	1024	valid
6.0ms	56×	body	512	valid
5.0ms	129×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify105.0ms (1.2%)

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

11.9b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
2.6b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite333.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

112×	`*-un-lft-identity_binary64_1442`
74×	`times-frac_binary64_1448`
72×	`add-sqr-sqrt_binary64_1464`
39×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
18×	`distribute-lft-out--_binary64_1394`
17×	`distribute-lft-out_binary64_1393`
14×	`associate-+l+_binary64_1375` `difference-of-squares_binary64_1411`
12×	`add-exp-log_binary64_1480`
11×	`add-log-exp_binary64_1481` `associate-/r*_binary64_1386`
10×	`div-inv_binary64_1439`
8×	`add-cbrt-cube_binary64_1478`
6×	`pow1_binary64_1503` `associate-/l*_binary64_1387`
4×	`div-exp_binary64_1493` `associate-/r/_binary64_1388` `difference-of-sqr-1_binary64_1412`
3×	`frac-add_binary64_1450` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `frac-sub_binary64_1451` `flip3-+_binary64_1445` `flip-+_binary64_1416` `sub-neg_binary64_1435` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`associate-+l-_binary64_1377` `+-commutative_binary64_1372`

Counts

4 → 161

Calls

4 calls:

41.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
8.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series196.0ms (2.3%)

Error

0.3b

Counts

4 → 38

Calls

4 calls:

65.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
36.0ms	(-.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 1412 to 1177 computations (16.6% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	2999
1	4962	2999

prune235.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Error

0.3b

Counts

200 → 4

Compiler

Compiled 3964 to 3150 computations (20.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
2.6b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
2.6b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
2.6b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))

rewrite1.9s (21.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

597×	`*-un-lft-identity_binary64_1442`
346×	`distribute-lft-out_binary64_1393`
164×	`cbrt-prod_binary64_1473`
156×	`times-frac_binary64_1448`
95×	`div-inv_binary64_1439`
70×	`swap-sqr_binary64_1409`
60×	`frac-add_binary64_1450` `cbrt-div_binary64_1474`
30×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
25×	`frac-times_binary64_1452`
20×	`add-sqr-sqrt_binary64_1464`
19×	`add-log-exp_binary64_1481`
16×	`associate-l_binary64_1383` `associate-r_binary64_1382`
12×	`add-cube-cbrt_binary64_1477`
11×	`pow1_binary64_1503`
9×	`sum-log_binary64_1533`
6×	`add-exp-log_binary64_1480` `pow1/3_binary64_1524`
5×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
4×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
3×	`associate-+r+_binary64_1374` `+-commutative_binary64_1372`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 237

Calls

4 calls:

80.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
36.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
34.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
32.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))

Compiler

Compiled 16573 to 13688 computations (17.4% saved)

series339.0ms (4%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

121.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
57.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
55.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
55.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))

Compiler

Compiled 2558 to 2156 computations (15.7% saved)

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4932	11363
1	4932	11363

prune1.2s (14.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	261	4	265

Error

0.3b

Counts

265 → 4

Compiler

Compiled 14985 to 12233 computations (18.4% saved)

localize16.0ms (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 x (+.f64 2 (*.f64 x 2)))
0.0b	(.f64 (+.f64 x -1) (-.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)))

rewrite492.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

60×	`add-sqr-sqrt_binary64_1464`
48×	`*-un-lft-identity_binary64_1442`
33×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
32×	`frac-add_binary64_1450`
27×	`times-frac_binary64_1448`
25×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408`
20×	`frac-times_binary64_1452`
18×	`difference-of-squares_binary64_1411` `associate-/l/_binary64_1389`
17×	`flip3--_binary64_1446` `flip--_binary64_1417`
14×	`add-log-exp_binary64_1481`
12×	`distribute-rgt-in_binary64_1392` `associate-+l+_binary64_1375` `distribute-lft-in_binary64_1391`
10×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
9×	`associate-/r*_binary64_1386`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
5×	`sub-neg_binary64_1435` `distribute-rgt1-in_binary64_1398` `distribute-rgt-out_binary64_1395` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`sum-log_binary64_1533` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `distribute-rgt-out--_binary64_1396`
3×	`associate-/l*_binary64_1387`
2×	`diff-log_binary64_1534` `associate-/r/_binary64_1388`
1×	`associate-+r+_binary64_1374` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373` `associate--r+_binary64_1378` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

4 → 174

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))
16.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
12.0ms	(.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)

series169.0ms (2%)

Error

0.3b

Counts

4 → 26

Calls

4 calls:

70.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
44.0ms	(/.f64 (+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x))
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 948 to 662 computations (30.2% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4993	7436
1	4993	7436

prune353.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	202	2	204

Error

0.3b

Counts

204 → 2

Compiler

Compiled 7952 to 4595 computations (42.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64_1464`
27×	`times-frac_binary64_1448` `*-un-lft-identity_binary64_1442`
16×	`difference-of-squares_binary64_1411`
15×	`add-cube-cbrt_binary64_1477`
9×	`associate-/r*_binary64_1386`
4×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`
3×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
2×	`associate-/r/_binary64_1388`
1×	`pow1_binary64_1503` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

1 → 53

Calls

1 calls:

9.0ms

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

Compiler

Compiled 899 to 658 computations (26.8% saved)

series50.0ms (0.6%)

Error

0.3b

Counts

1 → 8

Calls

1 calls:

43.0ms

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

Compiler

Compiled 228 to 201 computations (11.8% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	1103
1	4961	1103

prune62.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	58	5	63

Error

0.0b

Counts

63 → 5

Compiler

Compiled 886 to 652 computations (26.4% saved)

regimes269.0ms (3.2%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 3305 to 2748 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample2.3s (26.8%)

Algorithm

1×

intervals

Results

183.0ms	1370×	body	1024	valid
167.0ms	4406×	body	128	valid
160.0ms	1482×	body	512	valid
50.0ms	742×	body	256	valid

Compiler

Compiled 1599 to 1328 computations (16.9% saved)

Details

analyze6.0ms (0.1%)

sample26.0ms (0.3%)

simplify105.0ms (1.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite333.0ms (3.9%)

series196.0ms (2.3%)

simplify94.0ms (1.1%)

prune235.0ms (2.8%)

localize14.0ms (0.2%)

rewrite1.9s (21.9%)

series339.0ms (4%)

simplify157.0ms (1.8%)

prune1.2s (14.2%)

localize16.0ms (0.2%)

rewrite492.0ms (5.8%)

series169.0ms (2%)

simplify99.0ms (1.2%)

prune353.0ms (4.1%)

localize4.0ms (0.1%)

rewrite75.0ms (0.9%)

series50.0ms (0.6%)

simplify58.0ms (0.7%)

prune62.0ms (0.7%)

regimes269.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (26.8%)

Profiling