Details

analyze108.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	17
1	75	17
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	68×	body	1024	valid
5.0ms	138×	body	128	valid
3.0ms	32×	body	512	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	17
1	75	17

prune2.0ms (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

17.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
1.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite379.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

17.1b

Rules

124×	`add-sqr-sqrt_binary64_1464`
118×	`times-frac_binary64_1448`
113×	`*-un-lft-identity_binary64_1442`
72×	`sqrt-prod_binary64_1458`
54×	`add-cube-cbrt_binary64_1477`
27×	`cancel-sign-sub-inv_binary64_1408`
25×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out--_binary64_1394` `associate-/r*_binary64_1386`
11×	`add-exp-log_binary64_1480`
10×	`distribute-lft-out_binary64_1393`
7×	`pow1_binary64_1503` `add-cbrt-cube_binary64_1478` `div-inv_binary64_1439`
6×	`pow-flip_binary64_1516` `associate-/l*_binary64_1387`
5×	`add-log-exp_binary64_1481`
4×	`sqrt-div_binary64_1459` `associate-/r/_binary64_1388` `div-exp_binary64_1493`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `inv-pow_binary64_1527` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`diff-log_binary64_1534` `frac-sub_binary64_1451` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417`

Counts

3 → 173

Calls

3 calls:

45.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	(/.f64 1 (sqrt.f64 x))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 3566 to 2737 computations (23.2% saved)

series62.0ms (0.6%)

Error

17.5b

Counts

3 → 10

Calls

3 calls:

29.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
16.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
11.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 309 to 256 computations (17.2% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5118	3109

prune250.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	172	11	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	11	184

Error

17.1b

Counts

184 → 11

Compiler

Compiled 3271 to 2437 computations (25.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
1.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite170.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

16.7b

Rules

43×	`add-sqr-sqrt_binary64_1464`
38×	`sqrt-prod_binary64_1458`
34×	`*-un-lft-identity_binary64_1442`
12×	`difference-of-squares_binary64_1411`
11×	`add-cube-cbrt_binary64_1477`
10×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
9×	`distribute-lft-out--_binary64_1394`
7×	`pow1_binary64_1503` `associate-r_binary64_1382`
6×	`cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383`
5×	`add-log-exp_binary64_1481`
4×	`distribute-lft-out_binary64_1393` `unswap-sqr_binary64_1410` `sqrt-div_binary64_1459` `associate-*r/_binary64_1384`
3×	`pow-prod-down_binary64_1513`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `sqrt-unprod_binary64_1462` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r_binary64_1386`

Counts

3 → 97

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
16.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 2306 to 1441 computations (37.5% saved)

series179.0ms (1.6%)

Error

17.0b

Counts

3 → 12

Calls

3 calls:

58.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
57.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
46.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 534 to 416 computations (22.1% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5675	1943

prune192.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	117	3	120

Error

0.2b

Counts

120 → 3

Compiler

Compiled 2191 to 1398 computations (36.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite388.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

118×	`*-un-lft-identity_binary64_1442`
78×	`times-frac_binary64_1448`
55×	`sqrt-prod_binary64_1458`
47×	`add-sqr-sqrt_binary64_1464`
45×	`distribute-lft-out_binary64_1393`
39×	`add-cube-cbrt_binary64_1477`
32×	`add-exp-log_binary64_1480`
27×	`associate-/l*_binary64_1387`
20×	`add-cbrt-cube_binary64_1478`
14×	`div-exp_binary64_1493`
9×	`pow1_binary64_1503`
8×	`associate-/r/_binary64_1388`
7×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
6×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383`
5×	`prod-exp_binary64_1491`
4×	`unswap-sqr_binary64_1410` `sqrt-div_binary64_1459` `associate-*r/_binary64_1384` `div-inv_binary64_1439`
3×	`pow-prod-down_binary64_1513` `cbrt-unprod_binary64_1475` `1-exp_binary64_1486` `rec-exp_binary64_1492`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sqrt-unprod_binary64_1462` `*-commutative_binary64_1373` `associate-/l/_binary64_1389` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 166

Calls

4 calls:

20.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
20.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
18.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
9.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 4418 to 3053 computations (30.9% saved)

series148.0ms (1.4%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

72.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
33.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
15.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 561 to 452 computations (19.4% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4965	3678
1	4965	3678

prune285.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	176	8	184

Error

0.0b

Counts

184 → 8

Compiler

Compiled 4153 to 2860 computations (31.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
0.1b	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
0.1b	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))

rewrite751.0ms (6.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_1448`
159×	`*-un-lft-identity_binary64_1442`
156×	`add-sqr-sqrt_binary64_1464`
119×	`add-cube-cbrt_binary64_1477`
87×	`sqrt-prod_binary64_1458`
49×	`distribute-lft-out_binary64_1393`
21×	`associate-/l*_binary64_1387`
20×	`associate-/r/_binary64_1388`
19×	`add-exp-log_binary64_1480`
13×	`add-cbrt-cube_binary64_1478`
12×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
11×	`associate-/r*_binary64_1386`
10×	`div-inv_binary64_1439`
9×	`pow1_binary64_1503`
8×	`div-exp_binary64_1493`
7×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `associate-l_binary64_1383`
4×	`unswap-sqr_binary64_1410` `sqrt-div_binary64_1459` `cbrt-undiv_binary64_1476`
3×	`pow-prod-down_binary64_1513`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `associate-*r/_binary64_1384` `1-exp_binary64_1486` `rec-exp_binary64_1492` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `*-commutative_binary64_1373` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `associate-/l/_binary64_1389` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 252

Calls

4 calls:

30.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
12.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
9.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
5.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 7993 to 5774 computations (27.8% saved)

series149.0ms (1.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

45.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
31.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
30.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
25.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 813 to 681 computations (16.2% saved)

simplify190.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4896	9188
1	4896	9188

prune548.0ms (5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	274	7	281

Error

Counts

281 → 7

Compiler

Compiled 7292 to 5201 computations (28.7% saved)

regimes817.0ms (7.5%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 8517 to 6809 computations (20.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms (0%)

sample5.9s (54.1%)

Algorithm

1×

intervals

Results

410.0ms	2226×	body	1024	valid
209.0ms	4294×	body	128	valid
134.0ms	983×	body	512	valid
47.0ms	497×	body	256	valid

Compiler

Compiled 4217 to 3369 computations (20.1% saved)

Details

analyze108.0ms (1%)

sample27.0ms (0.2%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite379.0ms (3.5%)

series62.0ms (0.6%)

simplify95.0ms (0.9%)

prune250.0ms (2.3%)

localize7.0ms (0.1%)

rewrite170.0ms (1.6%)

series179.0ms (1.6%)

simplify93.0ms (0.9%)

prune192.0ms (1.8%)

localize8.0ms (0.1%)

rewrite388.0ms (3.6%)

series148.0ms (1.4%)

simplify115.0ms (1.1%)

prune285.0ms (2.6%)

localize10.0ms (0.1%)

rewrite751.0ms (6.9%)

series149.0ms (1.4%)

simplify190.0ms (1.7%)

prune548.0ms (5%)

regimes817.0ms (7.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.9s (54.1%)

Profiling