Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify158.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune4.0ms (0.1%)

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

27.4b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

26.4b

(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

7×	`pow1_binary64_139`
3×	`pow-prod-down_binary64_149` `sqrt-pow1_binary64_96`
1×	`pow1/2_binary64_158` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

1 calls:

7.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

Compiler

Compiled 132 to 99 computations (25% saved)

series60.0ms (1.2%)

Error

0.2b

Counts

1 → 3

Calls

1 calls:

53.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify274.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (260.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune29.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Error

0.1b

Counts

16 → 6

Compiler

Compiled 167 to 130 computations (22.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))))
26.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
26.4b	(sqrt.f64 (.f64 x (.f64 x 2)))

rewrite330.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

158×	`pow1_binary64_139`
154×	`sqrt-pow1_binary64_96`
82×	`pow-prod-down_binary64_149`
33×	`sqrt-prod_binary64_94`
28×	`add-sqr-sqrt_binary64_100`
24×	`pow1/2_binary64_158`
21×	`pow-prod-up_binary64_148`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `pow-sqr_binary64_51`
9×	`swap-sqr_binary64_45`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
3×	`rem-sqrt-square_binary64_91`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `sqrt-unprod_binary64_98` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `*-commutative_binary64_9`

Counts

4 → 131

Calls

4 calls:

32.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))))
8.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))

Compiler

Compiled 2665 to 2070 computations (22.3% saved)

series198.0ms (3.9%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
51.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
44.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))))
35.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))

Compiler

Compiled 437 to 370 computations (15.3% saved)

simplify143.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4976	1173
1	4976	1173

prune206.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	141	8	149

Error

0.1b

Counts

149 → 8

Compiler

Compiled 1942 to 1483 computations (23.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))) 3)))
19.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) 3))
26.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
26.4b	(sqrt.f64 (.f64 x (.f64 x 2)))

rewrite368.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

52×	`cbrt-prod_binary64_109`
43×	`add-sqr-sqrt_binary64_100`
38×	`sqrt-prod_binary64_94`
23×	`associate-r_binary64_18`
18×	`pow1_binary64_139` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
17×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
14×	`unswap-sqr_binary64_46`
7×	`pow-prod-down_binary64_149` `associate-l_binary64_19`
6×	`add-exp-log_binary64_116` `sqrt-pow1_binary64_96`
5×	`add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `sqr-pow_binary64_50`
2×	`pow1/2_binary64_158` `unpow3_binary64_144` `cube-mult_binary64_108`
1×	`pow1/3_binary64_160` `rem-cbrt-cube_binary64_102` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 108

Calls

4 calls:

37.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))) 3)))
8.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) 3))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))

Compiler

Compiled 3201 to 2552 computations (20.3% saved)

series224.0ms (4.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
55.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
53.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 2)))) 3)))
41.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2)))) 3))

Compiler

Compiled 491 to 424 computations (13.6% saved)

simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4951	1913
1	4951	1913

prune229.0ms (4.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Error

0.1b

Counts

128 → 8

Compiler

Compiled 2430 to 1901 computations (21.8% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(*.f64 x (sqrt.f64 2))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `sqrt-prod_binary64_94`
3×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-l_binary64_19`
2×	`unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

1 → 22

Calls

1 calls:

10.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 228 to 188 computations (17.5% saved)

series60.0ms (1.2%)

Error

0.1b

Counts

1 → 3

Calls

1 calls:

57.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5010	211

prune30.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	3	4
Picked	0	1	1
Done	1	2	3
Total	25	8	33

Error

0.0b

Counts

33 → 8

Compiler

Compiled 218 to 179 computations (17.9% saved)

regimes459.0ms (9.2%)

Accuracy

Total 0.3b remaining (88.3%)

Threshold costs 0.3b (88.3%)

Compiler

Compiled 1734 to 1417 computations (18.3% saved)

bsearch28.0ms (0.6%)

Steps

Iters	Range		Point
8	-2.294159949323056e-307	3.373081245366399e-305	-1.7163347373368e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	62	41
1	62	41

end0.0ms (0%)

sample1.8s (36.2%)

Algorithm

1×

intervals

Results

326.0ms

8000×

body

128

valid

Compiler

Compiled 546 to 450 computations (17.6% saved)

Details

analyze7.0ms (0.1%)

sample32.0ms (0.6%)

simplify158.0ms (3.1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite30.0ms (0.6%)

series60.0ms (1.2%)

simplify274.0ms (5.5%)

prune29.0ms (0.6%)

localize13.0ms (0.3%)

rewrite330.0ms (6.6%)

series198.0ms (3.9%)

simplify143.0ms (2.9%)

prune206.0ms (4.1%)

localize19.0ms (0.4%)

rewrite368.0ms (7.3%)

series224.0ms (4.5%)

simplify160.0ms (3.2%)

prune229.0ms (4.6%)

localize8.0ms (0.2%)

rewrite40.0ms (0.8%)

series60.0ms (1.2%)

simplify84.0ms (1.7%)

prune30.0ms (0.6%)

regimes459.0ms (9.2%)

bsearch28.0ms (0.6%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (36.2%)

Profiling