Details

analyze156.0ms (1.9%)

Algorithm

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample209.0ms (2.5%)

Algorithm

2×

intervals

Results

19.0ms	536×	body	128	nan
14.0ms	141×	body	1024	valid
8.0ms	277×	body	128	valid
4.0ms	57×	body	512	valid
2.0ms	13×	body	2048	valid
1.0ms	24×	body	256	valid

Compiler

Compiled 4047 to 4046 computations (0% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune5.0ms (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

29.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
3.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Rules

15×	`sqrt-prod_binary64_13393`
14×	`add-sqr-sqrt_binary64_13399` `*-un-lft-identity_binary64_13377`
6×	`cancel-sign-sub-inv_binary64_13343`
5×	`add-cube-cbrt_binary64_13412`
4×	`add-log-exp_binary64_13416` `difference-of-squares_binary64_13346`
3×	`pow1_binary64_13438` `distribute-lft-out--_binary64_13329`
2×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `distribute-lft-out_binary64_13328` `sqrt-div_binary64_13394`
1×	`diff-log_binary64_13469` `flip3--_binary64_13381` `sub-neg_binary64_13370` `flip--_binary64_13352` `pow1/2_binary64_13457` `sqrt-pow1_binary64_13395` `flip3-+_binary64_13380` `flip-+_binary64_13351` `rem-sqrt-square_binary64_13390`

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)

series74.0ms (0.9%)

Error

28.6b

Counts

2 → 9

Calls

2 calls:

44.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
23.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 245 to 193 computations (21.2% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4932	589
1	4932	589

prune53.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Error

0.1b

Counts

50 → 5

Compiler

Compiled 618 to 411 computations (33.5% 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)))

rewrite128.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_13377`
24×	`sqrt-prod_binary64_13393`
21×	`distribute-lft-out_binary64_13328`
18×	`times-frac_binary64_13383`
16×	`add-sqr-sqrt_binary64_13399`
15×	`add-cube-cbrt_binary64_13412`
7×	`add-exp-log_binary64_13415`
6×	`associate-/r*_binary64_13321`
5×	`pow1_binary64_13438` `add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
3×	`flip3-+_binary64_13380` `flip-+_binary64_13351` `associate-/l*_binary64_13322`
2×	`div-exp_binary64_13428` `associate-/r/_binary64_13323` `sqrt-div_binary64_13394`
1×	`inv-pow_binary64_13462` `pow-flip_binary64_13451` `1-exp_binary64_13421` `rec-exp_binary64_13427` `cbrt-undiv_binary64_13411` `frac-2neg_binary64_13388` `clear-num_binary64_13376` `div-inv_binary64_13374` `sum-log_binary64_13468` `+-commutative_binary64_13307` `pow1/2_binary64_13457` `sqrt-pow1_binary64_13395` `rem-sqrt-square_binary64_13390`

Counts

3 → 75

Calls

3 calls:

13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1268 to 926 computations (27% saved)

series76.0ms (0.9%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

25.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
23.0ms	(sqrt.f64 (+.f64 1 x))
21.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 268 to 232 computations (13.4% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4859	1227
1	4859	1227

prune103.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1317 to 960 computations (27.1% saved)

localize10.0ms (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))

rewrite198.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_13399` `*-un-lft-identity_binary64_13377`
18×	`add-cube-cbrt_binary64_13412`
13×	`cbrt-prod_binary64_13408`
10×	`add-exp-log_binary64_13415` `associate-r_binary64_13317`
9×	`sqrt-prod_binary64_13393` `times-frac_binary64_13383`
8×	`add-cbrt-cube_binary64_13413`
7×	`pow1_binary64_13438`
6×	`cbrt-div_binary64_13409`
4×	`add-log-exp_binary64_13416` `flip3-+_binary64_13380` `flip-+_binary64_13351`
3×	`distribute-lft-out_binary64_13328` `unswap-sqr_binary64_13345` `associate-l_binary64_13318` `associate-/l_binary64_13322` `associate-/r_binary64_13321`
2×	`pow1/3_binary64_13459` `sqrt-div_binary64_13394` `associate-*r/_binary64_13319` `div-exp_binary64_13428` `associate-/r/_binary64_13323`
1×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `*-commutative_binary64_13308` `inv-pow_binary64_13462` `pow-flip_binary64_13451` `1-exp_binary64_13421` `rec-exp_binary64_13427` `cbrt-undiv_binary64_13411` `frac-2neg_binary64_13388` `clear-num_binary64_13376` `div-inv_binary64_13374`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
9.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2392 to 1869 computations (21.9% saved)

series447.0ms (5.4%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

152.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
114.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
64.0ms	(cbrt.f64 (+.f64 1 x))
64.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1892 to 1612 computations (14.8% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4840	2640
1	4840	2640

prune201.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	119	8	127

Error

0.0b

Counts

127 → 8

Compiler

Compiled 2989 to 2301 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))))

rewrite1.8s (21.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

742×	`*-un-lft-identity_binary64_13377`
700×	`sqrt-prod_binary64_13393`
594×	`times-frac_binary64_13383`
280×	`distribute-lft-out_binary64_13328`
254×	`add-sqr-sqrt_binary64_13399`
252×	`add-cube-cbrt_binary64_13412`
36×	`associate-/l*_binary64_13322`
28×	`sqrt-div_binary64_13394`
24×	`associate-/r/_binary64_13323`
18×	`associate-/r*_binary64_13321`
17×	`add-exp-log_binary64_13415`
15×	`pow1_binary64_13438`
14×	`flip3-+_binary64_13380` `flip-+_binary64_13351`
12×	`div-inv_binary64_13374`
11×	`add-cbrt-cube_binary64_13413`
8×	`pow-flip_binary64_13451` `div-exp_binary64_13428`
7×	`pow1/2_binary64_13457` `sqrt-pow1_binary64_13395`
6×	`pow-div_binary64_13452`
4×	`add-log-exp_binary64_13416` `cbrt-undiv_binary64_13411`
2×	`inv-pow_binary64_13462` `1-exp_binary64_13421` `rec-exp_binary64_13427` `frac-2neg_binary64_13388` `clear-num_binary64_13376` `rem-sqrt-square_binary64_13390`
1×	`associate-/l/_binary64_13324`

Counts

4 → 459

Calls

4 calls:

31.0ms	(/.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))))
12.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
12.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 16963 to 12555 computations (26% saved)

series136.0ms (1.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
31.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
30.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
27.0ms	(/.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))))

Compiler

Compiled 545 to 470 computations (13.8% saved)

simplify219.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4875	14772
1	4875	14772

prune943.0ms (11.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	468	3	471
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	470	9	479

Error

Counts

479 → 9

Compiler

Compiled 11392 to 8378 computations (26.5% saved)

regimes340.0ms (4.1%)

Accuracy

Total 0.2b remaining (97.2%)

Threshold costs 0.2b (97.2%)

Compiler

Compiled 3643 to 2920 computations (19.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample2.8s (34.4%)

Algorithm

1×

intervals

Results

230.0ms	8231×	body	128	nan
217.0ms	2032×	body	1024	valid
131.0ms	4298×	body	128	valid
74.0ms	972×	body	512	valid
29.0ms	219×	body	2048	valid
24.0ms	479×	body	256	valid

Compiler

Compiled 1799 to 1444 computations (19.7% saved)

Details

analyze156.0ms (1.9%)

sample209.0ms (2.5%)

simplify9.0ms (0.1%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite66.0ms (0.8%)

series74.0ms (0.9%)

simplify37.0ms (0.4%)

prune53.0ms (0.6%)

localize6.0ms (0.1%)

rewrite128.0ms (1.6%)

series76.0ms (0.9%)

simplify90.0ms (1.1%)

prune103.0ms (1.3%)

localize10.0ms (0.1%)

rewrite198.0ms (2.4%)

series447.0ms (5.4%)

simplify94.0ms (1.1%)

prune201.0ms (2.4%)

localize9.0ms (0.1%)

rewrite1.8s (21.6%)

series136.0ms (1.7%)

simplify219.0ms (2.7%)

prune943.0ms (11.5%)

regimes340.0ms (4.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.8s (34.4%)

Profiling