Details

analyze132.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample64.0ms (1.6%)

Algorithm

1×

intervals

Results

26.0ms	119×	body	1024	valid
10.0ms	88×	body	512	valid
4.0ms	256×	pre	128	true
3.0ms	12×	body	2048	valid
2.0ms	29×	body	256	valid
0.0ms	8×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune3.0ms (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

59.7b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.7b	(-.f64 (exp.f64 x) 1)

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

59.6b

Rules

6×	`add-sqr-sqrt_binary64_1464`
5×	`*-un-lft-identity_binary64_1442`
3×	`add-log-exp_binary64_1481` `cancel-sign-sub-inv_binary64_1408`
2×	`add-cube-cbrt_binary64_1477` `difference-of-squares_binary64_1411`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`

Counts

1 → 18

Calls

1 calls:

9.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 185 to 119 computations (35.7% saved)

series24.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify84.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune24.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Compiler

Compiled 220 to 138 computations (37.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite120.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
9×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-l*_binary64_1383`
7×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `associate-*r/_binary64_1384`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`unswap-sqr_binary64_1410`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 75

Calls

4 calls:

7.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1688 to 1175 computations (30.4% saved)

series180.0ms (4.5%)

Error

Counts

4 → 20

Calls

4 calls:

65.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
44.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
36.0ms	(+.f64 1/6 (*.f64 x 1/24))
20.0ms	(*.f64 x 1/24)

Compiler

Compiled 722 to 532 computations (26.3% saved)

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4868	1156
1	4868	1156

prune112.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Error

Counts

97 → 2

Compiler

Compiled 1789 to 1239 computations (30.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
2.6b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite557.0ms (13.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`*-un-lft-identity_binary64_1442`
126×	`add-sqr-sqrt_binary64_1464`
80×	`times-frac_binary64_1448`
56×	`difference-of-squares_binary64_1411`
51×	`distribute-lft-out_binary64_1393`
35×	`add-cube-cbrt_binary64_1477`
28×	`difference-of-sqr-1_binary64_1412`
27×	`unpow-prod-down_binary64_1521`
24×	`cube-prod_binary64_1470`
23×	`sqr-pow_binary64_1414`
16×	`associate-/l*_binary64_1387`
8×	`pow-pow_binary64_1514`
7×	`add-cbrt-cube_binary64_1478` `distribute-lft-out--_binary64_1394`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `add-exp-log_binary64_1480` `pow-unpow_binary64_1519` `exp-prod_binary64_1494`
5×	`associate-/r*_binary64_1386`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unpow2_binary64_1507` `unpow3_binary64_1508` `cube-mult_binary64_1472` `rem-cube-cbrt_binary64_1465`

Counts

4 → 192

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
6.0ms	(pow.f64 (exp.f64 x) 3)
6.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 5394 to 3571 computations (33.8% saved)

series298.0ms (7.4%)

Error

Counts

4 → 24

Calls

4 calls:

130.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
59.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
39.0ms	(pow.f64 (exp.f64 x) 3)
31.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 968 to 726 computations (25% saved)

simplify141.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5024	5725

prune320.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	2	218

Error

Counts

218 → 2

Compiler

Compiled 5252 to 3427 computations (34.7% saved)

regimes128.0ms (3.2%)

Accuracy

Total 0.4b remaining (95.6%)

Threshold costs 0.4b (95.6%)

Compiler

Compiled 697 to 556 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample1.7s (41.5%)

Algorithm

1×

intervals

Results

628.0ms	3981×	body	1024	valid
164.0ms	2037×	body	512	valid
112.0ms	8000×	pre	128	true
73.0ms	397×	body	2048	valid
55.0ms	1041×	body	256	valid
18.0ms	544×	body	128	valid

Compiler

Compiled 213 to 170 computations (20.2% saved)

Details

analyze132.0ms (3.3%)

sample64.0ms (1.6%)

simplify13.0ms (0.3%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite33.0ms (0.8%)

series24.0ms (0.6%)

simplify84.0ms (2.1%)

prune24.0ms (0.6%)

localize9.0ms (0.2%)

rewrite120.0ms (3%)

series180.0ms (4.5%)

simplify89.0ms (2.2%)

prune112.0ms (2.8%)

localize12.0ms (0.3%)

rewrite557.0ms (13.9%)

series298.0ms (7.4%)

simplify141.0ms (3.5%)

prune320.0ms (8%)

regimes128.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (41.5%)

Profiling