Details

analyze166.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5047	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5047	13

prune5.0ms (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

0.6b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (*.f64 i i))
0.7b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite128.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_1464`
35×	`times-frac_binary64_1448`
33×	`*-un-lft-identity_binary64_1442`
17×	`add-cube-cbrt_binary64_1477`
15×	`add-exp-log_binary64_1480`
12×	`difference-of-squares_binary64_1411`
10×	`pow1_binary64_1503`
9×	`add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
8×	`distribute-lft-out--_binary64_1394`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387` `pow-flip_binary64_1516`
5×	`div-exp_binary64_1493`
3×	`cbrt-undiv_binary64_1476` `prod-exp_binary64_1491`
2×	`add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/r/_binary64_1388` `1-exp_binary64_1486` `rec-exp_binary64_1492`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `inv-pow_binary64_1527` `pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `cbrt-unprod_binary64_1475`

Counts

2 → 81

Calls

2 calls:

8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series80.0ms (1.6%)

Error

0.0b

Counts

2 → 13

Calls

2 calls:

47.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
21.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 345 to 317 computations (8.1% saved)

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4880	1285
1	4880	1285

prune101.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Error

Counts

96 → 3

Compiler

Compiled 1286 to 979 computations (23.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2 (/.f64 1 i))
0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite487.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

109×	`add-sqr-sqrt_binary64_1464`
100×	`*-un-lft-identity_binary64_1442`
96×	`times-frac_binary64_1448`
48×	`add-cube-cbrt_binary64_1477`
30×	`associate-r_binary64_1382`
21×	`difference-of-squares_binary64_1411` `associate-l_binary64_1383`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
19×	`div-inv_binary64_1439`
16×	`distribute-lft-out_binary64_1393`
14×	`distribute-lft-out--_binary64_1394`
13×	`associate-/r*_binary64_1386`
8×	`associate-/r/_binary64_1388`
6×	`pow1_binary64_1503` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `associate-/l*_binary64_1387`
4×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417`
1×	`pow-prod-down_binary64_1513` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 174

Calls

4 calls:

32.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
12.0ms	(+.f64 2 (/.f64 1 i))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

Compiler

Compiled 4383 to 3862 computations (11.9% saved)

series197.0ms (4%)

Error

Counts

4 → 40

Calls

4 calls:

63.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
40.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
35.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
19.0ms	(+.f64 2 (/.f64 1 i))

Compiler

Compiled 1395 to 1241 computations (11% saved)

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4931	3805
1	4931	3805

prune378.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	214	3	217

Error

Counts

217 → 3

Compiler

Compiled 4480 to 3859 computations (13.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.7b	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_1464`
21×	`times-frac_binary64_1448` `*-un-lft-identity_binary64_1442`
13×	`add-cube-cbrt_binary64_1477`
12×	`difference-of-squares_binary64_1411`
7×	`associate-/r*_binary64_1386`
4×	`unpow-prod-down_binary64_1521` `sqr-pow_binary64_1414` `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 → 45

Calls

1 calls:

7.0ms

(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Compiler

Compiled 769 to 682 computations (11.3% saved)

series75.0ms (1.5%)

Error

Counts

1 → 10

Calls

1 calls:

65.0ms

(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Compiler

Compiled 264 to 239 computations (9.5% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4927	907
1	4927	907

prune62.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 764 to 651 computations (14.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 4 (pow.f64 i 6))
0.0b	(.f64 -1/4 (.f64 i i))
0.0b	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
0.0b	(-.f64 (-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))

rewrite167.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_1464`
15×	`cancel-sign-sub-inv_binary64_1408`
14×	`add-exp-log_binary64_1480`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
10×	`unpow-prod-down_binary64_1521`
9×	`pow1_binary64_1503`
8×	`associate--l+_binary64_1379` `associate-r_binary64_1382`
6×	`prod-exp_binary64_1491` `associate-l_binary64_1383`
4×	`diff-log_binary64_1534` `sqr-pow_binary64_1414` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410`
3×	`sub-neg_binary64_1435` `pow-prod-down_binary64_1513`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `*-commutative_binary64_1373`
1×	`associate--l-_binary64_1380` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 84

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
8.0ms	(.f64 -1/4 (.f64 i i))
7.0ms	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
5.0ms	(*.f64 4 (pow.f64 i 6))

Compiler

Compiled 1931 to 1348 computations (30.2% saved)

series375.0ms (7.5%)

Error

Counts

4 → 21

Calls

4 calls:

180.0ms	(-.f64 (-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
84.0ms	(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
51.0ms	(.f64 -1/4 (.f64 i i))
44.0ms	(*.f64 4 (pow.f64 i 6))

Compiler

Compiled 714 to 599 computations (16.1% saved)

simplify118.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4897	1353
1	4897	1353

prune161.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1882 to 1324 computations (29.6% saved)

regimes151.0ms (3%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 1114 to 967 computations (13.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	22
1	34	22

end0.0ms (0%)

sample1.8s (36.9%)

Algorithm

1×

intervals

Results

566.0ms	8000×	body	128	valid
131.0ms	8000×	pre	128	true

Compiler

Compiled 537 to 474 computations (11.7% saved)

Details

analyze166.0ms (3.3%)

sample30.0ms (0.6%)

simplify76.0ms (1.5%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite128.0ms (2.6%)

series80.0ms (1.6%)

simplify82.0ms (1.7%)

prune101.0ms (2%)

localize10.0ms (0.2%)

rewrite487.0ms (9.8%)

series197.0ms (4%)

simplify127.0ms (2.5%)

prune378.0ms (7.6%)

localize5.0ms (0.1%)

rewrite63.0ms (1.3%)

series75.0ms (1.5%)

simplify81.0ms (1.6%)

prune62.0ms (1.2%)

localize9.0ms (0.2%)

rewrite167.0ms (3.3%)

series375.0ms (7.5%)

simplify118.0ms (2.4%)

prune161.0ms (3.2%)

regimes151.0ms (3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (36.9%)

Profiling