Details

analyze125.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	71×	body	1024	valid
4.0ms	125×	body	128	valid
4.0ms	36×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0%)

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

31.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
2.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

Rules

15×	`sqrt-prod_binary64_776`
14×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cancel-sign-sub-inv_binary64_726`
5×	`add-cube-cbrt_binary64_795`
4×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
3×	`pow1_binary64_821` `distribute-lft-out--_binary64_712`
2×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711` `sqrt-div_binary64_777`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3-+_binary64_763` `flip-+_binary64_734` `rem-sqrt-square_binary64_773`

Counts

2 → 40

Calls

2 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 571 to 370 computations (35.2% saved)

series53.0ms (0.5%)

Error

31.0b

Counts

2 → 9

Calls

2 calls:

29.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 245 to 193 computations (21.2% saved)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4932	589
1	4932	589

prune62.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Error

0.1b

Counts

50 → 3

Compiler

Compiled 574 to 378 computations (34.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite151.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_760`
24×	`sqrt-prod_binary64_776`
21×	`distribute-lft-out_binary64_711`
18×	`times-frac_binary64_766`
16×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795`
7×	`add-exp-log_binary64_798`
6×	`associate-/r*_binary64_704`
5×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`div-exp_binary64_811` `associate-/r/_binary64_706` `sqrt-div_binary64_777`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 75

Calls

3 calls:

15.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
15.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
6.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1268 to 926 computations (27% saved)

series70.0ms (0.7%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

25.0ms	(sqrt.f64 (+.f64 1 x))
22.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 268 to 232 computations (13.4% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4859	1227
1	4859	1227

prune127.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Error

0.0b

Counts

90 → 9

Compiler

Compiled 1319 to 967 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))

rewrite206.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
18×	`add-cube-cbrt_binary64_795`
13×	`cbrt-prod_binary64_791`
10×	`add-exp-log_binary64_798` `associate-r_binary64_700`
9×	`sqrt-prod_binary64_776` `times-frac_binary64_766`
8×	`add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821`
6×	`cbrt-div_binary64_792`
4×	`add-log-exp_binary64_799` `flip3-+_binary64_763` `flip-+_binary64_734`
3×	`distribute-lft-out_binary64_711` `unswap-sqr_binary64_728` `associate-l_binary64_701` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`pow1/3_binary64_842` `sqrt-div_binary64_777` `associate-*r/_binary64_702` `div-exp_binary64_811` `associate-/r/_binary64_706`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 90

Calls

4 calls:

12.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
12.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2392 to 1869 computations (21.9% saved)

series355.0ms (3.6%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

132.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
84.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
55.0ms	(cbrt.f64 (+.f64 1 x))
43.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1892 to 1612 computations (14.8% saved)

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4840	2640
1	4840	2640

prune198.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 2959 to 2279 computations (23% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite1.9s (19.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

742×	`*-un-lft-identity_binary64_760`
700×	`sqrt-prod_binary64_776`
594×	`times-frac_binary64_766`
280×	`distribute-lft-out_binary64_711`
254×	`add-sqr-sqrt_binary64_782`
252×	`add-cube-cbrt_binary64_795`
36×	`associate-/l*_binary64_705`
28×	`sqrt-div_binary64_777`
24×	`associate-/r/_binary64_706`
18×	`associate-/r*_binary64_704`
17×	`add-exp-log_binary64_798`
15×	`pow1_binary64_821`
14×	`flip3-+_binary64_763` `flip-+_binary64_734`
12×	`div-inv_binary64_757`
11×	`add-cbrt-cube_binary64_796`
8×	`pow-flip_binary64_834` `div-exp_binary64_811`
7×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778`
6×	`pow-div_binary64_835`
4×	`add-log-exp_binary64_799` `cbrt-undiv_binary64_794`
2×	`inv-pow_binary64_845` `1-exp_binary64_804` `rec-exp_binary64_810` `frac-2neg_binary64_771` `clear-num_binary64_759` `rem-sqrt-square_binary64_773`
1×	`associate-/l/_binary64_707`

Counts

4 → 459

Calls

4 calls:

61.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
21.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
15.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
15.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 16963 to 12555 computations (26% saved)

series116.0ms (1.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

35.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
32.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
22.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
20.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 545 to 470 computations (13.8% saved)

simplify355.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4875	14772
1	4875	14772

prune988.0ms (10.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	466	5	471
Fresh	4	1	5
Picked	0	1	1
Done	0	2	2
Total	470	9	479

Error

Counts

479 → 9

Compiler

Compiled 11392 to 8378 computations (26.5% saved)

regimes525.0ms (5.4%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 5862 to 4643 computations (20.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample4.1s (42.3%)

Algorithm

1×

intervals

Results

250.0ms	2001×	body	1024	valid
158.0ms	4249×	body	128	valid
101.0ms	1008×	body	512	valid
35.0ms	523×	body	256	valid
32.0ms	219×	body	2048	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 2917 to 2312 computations (20.7% saved)

Details

analyze125.0ms (1.3%)

sample31.0ms (0.3%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite74.0ms (0.8%)

series53.0ms (0.5%)

simplify43.0ms (0.4%)

prune62.0ms (0.6%)

localize6.0ms (0.1%)

rewrite151.0ms (1.5%)

series70.0ms (0.7%)

simplify100.0ms (1%)

prune127.0ms (1.3%)

localize9.0ms (0.1%)

rewrite206.0ms (2.1%)

series355.0ms (3.6%)

simplify122.0ms (1.2%)

prune198.0ms (2%)

localize9.0ms (0.1%)

rewrite1.9s (19.5%)

series116.0ms (1.2%)

simplify355.0ms (3.6%)

prune988.0ms (10.1%)

regimes525.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.1s (42.3%)

Profiling