Details

analyze1.0ms (0%)

Algorithm

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)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	75×	body	1024	valid
5.0ms	141×	body	128	valid
3.0ms	25×	body	512	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify101.0ms (1.2%)

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

18.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (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))
3.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite315.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

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:

39.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 3566 to 2737 computations (23.2% saved)

series65.0ms (0.8%)

Error

17.9b

Counts

3 → 12

Calls

3 calls:

25.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
20.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
12.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 369 to 304 computations (17.6% saved)

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4846	3144
1	4846	3144

prune215.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	175	10	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	10	186

Error

17.4b

Counts

186 → 10

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))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
3.2b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite154.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

17.0b

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:

17.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
9.0ms	(*.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)

series127.0ms (1.5%)

Error

17.3b

Counts

3 → 12

Calls

3 calls:

57.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
32.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
26.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 534 to 416 computations (22.1% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5675	1943

prune119.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	116	3	119

Error

0.2b

Counts

119 → 3

Compiler

Compiled 2180 to 1394 computations (36.1% 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))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite324.0ms (3.8%)

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))))
11.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
10.0ms	(/.f64 1 (+.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)

series121.0ms (1.4%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

48.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
27.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
19.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
16.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 561 to 452 computations (19.4% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4965	3678
1	4965	3678

prune243.0ms (2.8%)

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 4136 to 2848 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 1 (+.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)))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))

rewrite586.0ms (6.8%)

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` `associate-/l/_binary64_1389` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 252

Calls

4 calls:

13.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
9.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
5.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
3.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 7993 to 5774 computations (27.8% saved)

series133.0ms (1.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

36.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
31.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
25.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
22.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 813 to 681 computations (16.2% saved)

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4896	9188
1	4896	9188

prune426.0ms (5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	273	8	281

Error

Counts

281 → 8

Compiler

Compiled 7292 to 5200 computations (28.7% saved)

regimes659.0ms (7.7%)

Accuracy

Total 0.3b remaining (99.1%)

Threshold costs 0.3b (99.1%)

Compiler

Compiled 8340 to 6713 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms (0%)

sample4.5s (52.4%)

Algorithm

1×

intervals

Results

315.0ms	2198×	body	1024	valid
166.0ms	4240×	body	128	valid
117.0ms	1049×	body	512	valid
39.0ms	513×	body	256	valid

Compiler

Compiled 4122 to 3315 computations (19.6% saved)

Details

analyze1.0ms (0%)

sample31.0ms (0.4%)

simplify101.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite315.0ms (3.7%)

series65.0ms (0.8%)

simplify104.0ms (1.2%)

prune215.0ms (2.5%)

localize7.0ms (0.1%)

rewrite154.0ms (1.8%)

series127.0ms (1.5%)

simplify68.0ms (0.8%)

prune119.0ms (1.4%)

localize8.0ms (0.1%)

rewrite324.0ms (3.8%)

series121.0ms (1.4%)

simplify98.0ms (1.1%)

prune243.0ms (2.8%)

localize10.0ms (0.1%)

rewrite586.0ms (6.8%)

series133.0ms (1.5%)

simplify155.0ms (1.8%)

prune426.0ms (5%)

regimes659.0ms (7.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (52.4%)

Profiling