Details

analyze186.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	20
1	274	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	184	10
1	184	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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1464`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3--_binary64_1446` `associate-*r/_binary64_1384` `flip--_binary64_1417`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `diff-log_binary64_1534`

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 x (-.f64 1 (.f64 x y)))
3.0ms	(-.f64 1 (*.f64 x y))

Compiler

Compiled 507 to 262 computations (48.3% saved)

series187.0ms (4.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

102.0ms	(.f64 x (-.f64 1 (.f64 x y)))
73.0ms	(-.f64 1 (*.f64 x y))

Compiler

Compiled 380 to 289 computations (23.9% saved)

simplify104.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4945	606
1	4945	606

prune59.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Error

0.0b

Counts

61 → 5

Compiler

Compiled 635 to 242 computations (61.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 x x) y))
7.9b	(.f64 (.f64 x x) y)

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
1×	`unswap-sqr_binary64_1410` `associate-l_binary64_1383` `*-commutative_binary64_1373` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`

Counts

2 → 31

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) y)
3.0ms	(-.f64 x (.f64 (.f64 x x) y))

Compiler

Compiled 418 to 113 computations (73% saved)

series177.0ms (4.6%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

91.0ms	(-.f64 x (.f64 (.f64 x x) y))
70.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 312 to 246 computations (21.2% saved)

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4709	503
1	4709	503

prune31.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	50	4	54

Error

0.0b

Counts

54 → 4

Compiler

Compiled 511 to 127 computations (75.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 x (.f64 x y)))
0.2b	(.f64 x (.f64 x y))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464` `-un-lft-identity_binary64_1442` `associate-l*_binary64_1383`
1×	`associate-r_binary64_1382` `*-commutative_binary64_1373` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`

Counts

2 → 30

Calls

2 calls:

5.0ms	(.f64 x (.f64 x y))
3.0ms	(-.f64 x (.f64 x (.f64 x y)))

Compiler

Compiled 407 to 109 computations (73.2% saved)

series157.0ms (4%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

87.0ms	(-.f64 x (.f64 x (.f64 x y)))
61.0ms	(.f64 x (.f64 x y))

Compiler

Compiled 312 to 246 computations (21.2% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5057	487

prune39.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	48	4	52

Error

0.0b

Counts

52 → 4

Compiler

Compiled 494 to 124 computations (74.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (*.f64 x y) 3)
0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.2b	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
10.5b	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

rewrite246.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`pow1_binary64_1503`
26×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
19×	`pow-prod-down_binary64_1513`
17×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
16×	`cancel-sign-sub-inv_binary64_1408`
11×	`prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475`
9×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-r_binary64_1382`
5×	`sqr-pow_binary64_1414`
4×	`add-log-exp_binary64_1481` `times-frac_binary64_1448` `associate-r/_binary64_1384` `associate-/r_binary64_1386` `associate-l_binary64_1383` `difference-of-squares_binary64_1411` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
3×	`unpow-prod-down_binary64_1521` `unpow3_binary64_1508` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `pow-unpow_binary64_1519`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `distribute-lft-out_binary64_1393` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `associate-/r/_binary64_1388` `sub-neg_binary64_1435` `*-commutative_binary64_1373` `pow-plus_binary64_1505` `pow-pow_binary64_1514` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l*_binary64_1387` `unswap-sqr_binary64_1410` `distribute-lft-out--_binary64_1394` `pow2_binary64_1523` `swap-sqr_binary64_1409` `pow-to-exp_binary64_1511`

Counts

4 → 126

Calls

4 calls:

19.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
14.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
4.0ms	(pow.f64 (*.f64 x y) 3)

Compiler

Compiled 4591 to 2330 computations (49.2% saved)

series769.0ms (19.9%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

302.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
235.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
102.0ms	(.f64 (.f64 x y) (*.f64 x y))
99.0ms	(pow.f64 (*.f64 x y) 3)

Compiler

Compiled 1972 to 1324 computations (32.9% saved)

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5104	2208

prune225.0ms (5.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	161	5	166

Error

Counts

166 → 5

Compiler

Compiled 4517 to 2428 computations (46.2% saved)

regimes203.0ms (5.2%)

Accuracy

Total 0.1b remaining (95%)

Threshold costs 0.1b (95%)

Compiler

Compiled 1579 to 1075 computations (31.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	10
1	44	10

end0.0ms (0%)

sample1.0s (26.8%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	128	valid
2.0ms	82×	body	128	invalid

Compiler

Compiled 514 to 350 computations (31.9% saved)

Details

analyze186.0ms (4.8%)

sample21.0ms (0.5%)

simplify16.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite54.0ms (1.4%)

series187.0ms (4.8%)

simplify104.0ms (2.7%)

prune59.0ms (1.5%)

localize4.0ms (0.1%)

rewrite41.0ms (1.1%)

series177.0ms (4.6%)

simplify94.0ms (2.4%)

prune31.0ms (0.8%)

localize4.0ms (0.1%)

rewrite29.0ms (0.8%)

series157.0ms (4%)

simplify75.0ms (1.9%)

prune39.0ms (1%)

localize12.0ms (0.3%)

rewrite246.0ms (6.4%)

series769.0ms (19.9%)

simplify90.0ms (2.3%)

prune225.0ms (5.8%)

regimes203.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (26.8%)

Profiling