Details

analyze105.0ms (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)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	62×	body	1024	valid
4.0ms	139×	body	128	valid
2.0ms	27×	body	512	valid
1.0ms	10×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (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

29.2b

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))
3.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

Rules

15×	`sqrt-prod_binary64_14075`
14×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
6×	`cancel-sign-sub-inv_binary64_14025`
5×	`add-cube-cbrt_binary64_14094`
4×	`add-log-exp_binary64_14098` `difference-of-squares_binary64_14028`
3×	`pow1_binary64_14120` `distribute-lft-out--_binary64_14011`
2×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `distribute-lft-out_binary64_14010` `sqrt-div_binary64_14076`
1×	`diff-log_binary64_14151` `flip3--_binary64_14063` `sub-neg_binary64_14052` `flip--_binary64_14034` `pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `flip3-+_binary64_14062` `flip-+_binary64_14033` `rem-sqrt-square_binary64_14072`

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)

series47.0ms (0.6%)

Error

28.4b

Counts

2 → 8

Calls

2 calls:

25.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
14.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 225 to 178 computations (20.9% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5272	570

prune44.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

0.1b

Counts

49 → 3

Compiler

Compiled 565 to 371 computations (34.3% 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)))

rewrite119.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_14059`
24×	`sqrt-prod_binary64_14075`
21×	`distribute-lft-out_binary64_14010`
18×	`times-frac_binary64_14065`
16×	`add-sqr-sqrt_binary64_14081`
15×	`add-cube-cbrt_binary64_14094`
7×	`add-exp-log_binary64_14097`
6×	`associate-/r*_binary64_14003`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095`
3×	`flip3-+_binary64_14062` `flip-+_binary64_14033` `associate-/l*_binary64_14004`
2×	`div-exp_binary64_14110` `associate-/r/_binary64_14005` `sqrt-div_binary64_14076`
1×	`inv-pow_binary64_14144` `pow-flip_binary64_14133` `1-exp_binary64_14103` `rec-exp_binary64_14109` `cbrt-undiv_binary64_14093` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `sum-log_binary64_14150` `+-commutative_binary64_13989` `pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072`

Counts

3 → 75

Calls

3 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1268 to 926 computations (27% saved)

series54.0ms (0.7%)

Error

0.1b

Counts

3 → 11

Calls

3 calls:

18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
16.0ms	(sqrt.f64 (+.f64 1 x))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 246 to 215 computations (12.6% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5423	1208

prune92.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	8	86
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	80	9	89

Error

0.0b

Counts

89 → 9

Compiler

Compiled 1321 to 967 computations (26.8% saved)

localize12.0ms (0.2%)

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))

rewrite172.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
18×	`add-cube-cbrt_binary64_14094`
13×	`cbrt-prod_binary64_14090`
10×	`add-exp-log_binary64_14097` `associate-r_binary64_13999`
9×	`sqrt-prod_binary64_14075` `times-frac_binary64_14065`
8×	`add-cbrt-cube_binary64_14095`
7×	`pow1_binary64_14120`
6×	`cbrt-div_binary64_14091`
4×	`add-log-exp_binary64_14098` `flip3-+_binary64_14062` `flip-+_binary64_14033`
3×	`distribute-lft-out_binary64_14010` `unswap-sqr_binary64_14027` `associate-l_binary64_14000` `associate-/l_binary64_14004` `associate-/r_binary64_14003`
2×	`pow1/3_binary64_14141` `sqrt-div_binary64_14076` `associate-*r/_binary64_14001` `div-exp_binary64_14110` `associate-/r/_binary64_14005`
1×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `inv-pow_binary64_14144` `pow-flip_binary64_14133` `1-exp_binary64_14103` `rec-exp_binary64_14109` `cbrt-undiv_binary64_14093` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056`

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)

series318.0ms (3.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

101.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
80.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
50.0ms	(cbrt.f64 (+.f64 1 x))
49.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1786 to 1527 computations (14.5% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4905	2561
1	4905	2561

prune163.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Error

0.0b

Counts

126 → 9

Compiler

Compiled 2912 to 2247 computations (22.8% 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))))

rewrite1.6s (20%)

Algorithm

1×	rewrite-expression-head

Error

Rules

742×	`*-un-lft-identity_binary64_14059`
700×	`sqrt-prod_binary64_14075`
594×	`times-frac_binary64_14065`
280×	`distribute-lft-out_binary64_14010`
254×	`add-sqr-sqrt_binary64_14081`
252×	`add-cube-cbrt_binary64_14094`
36×	`associate-/l*_binary64_14004`
28×	`sqrt-div_binary64_14076`
24×	`associate-/r/_binary64_14005`
18×	`associate-/r*_binary64_14003`
17×	`add-exp-log_binary64_14097`
15×	`pow1_binary64_14120`
14×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
12×	`div-inv_binary64_14056`
11×	`add-cbrt-cube_binary64_14095`
8×	`pow-flip_binary64_14133` `div-exp_binary64_14110`
7×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077`
6×	`pow-div_binary64_14134`
4×	`add-log-exp_binary64_14098` `cbrt-undiv_binary64_14093`
2×	`inv-pow_binary64_14144` `1-exp_binary64_14103` `rec-exp_binary64_14109` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `rem-sqrt-square_binary64_14072`
1×	`associate-/l/_binary64_14006`

Counts

4 → 459

Calls

4 calls:

32.0ms	(/.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))))
13.0ms	(/.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)))
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 16963 to 12555 computations (26% saved)

series99.0ms (1.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.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)))
22.0ms	(/.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))))
20.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 545 to 470 computations (13.8% saved)

simplify226.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4875	14772
1	4875	14772

prune952.0ms (11.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	468	3	471
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	470	10	480

Error

0.0b

Counts

480 → 10

Compiler

Compiled 11392 to 8378 computations (26.5% saved)

regimes439.0ms (5.4%)

Accuracy

Total 0.2b remaining (98.2%)

Threshold costs 0.2b (98.2%)

Compiler

Compiled 5879 to 4696 computations (20.1% 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%)

sample3.3s (40.6%)

Algorithm

1×

intervals

Results

240.0ms	1993×	body	1024	valid
126.0ms	4259×	body	128	valid
90.0ms	1032×	body	512	valid
33.0ms	230×	body	2048	valid
26.0ms	486×	body	256	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 2916 to 2331 computations (20.1% saved)

Details

analyze105.0ms (1.3%)

sample23.0ms (0.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite64.0ms (0.8%)

series47.0ms (0.6%)

simplify58.0ms (0.7%)

prune44.0ms (0.5%)

localize6.0ms (0.1%)

rewrite119.0ms (1.5%)

series54.0ms (0.7%)

simplify95.0ms (1.2%)

prune92.0ms (1.1%)

localize12.0ms (0.2%)

rewrite172.0ms (2.1%)

series318.0ms (3.9%)

simplify82.0ms (1%)

prune163.0ms (2%)

localize9.0ms (0.1%)

rewrite1.6s (20%)

series99.0ms (1.2%)

simplify226.0ms (2.8%)

prune952.0ms (11.7%)

regimes439.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (40.6%)

Profiling