Details

analyze3.0ms (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)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify161.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune2.0ms (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

Merged error: 28.6b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

27.6b

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_140`
3×	`pow-prod-down_binary64_150` `sqrt-pow1_binary64_97`
1×	`sqrt-prod_binary64_95` `add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `add-log-exp_binary64_118` `pow1/2_binary64_159` `*-un-lft-identity_binary64_79`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series47.0ms (2%)

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify150.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4780	123
1	4780	123

prune46.0ms (2%)

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

Merged error: 0.2b

Counts

16 → 6

Compiler

Compiled 489 to 399 computations (18.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
27.6b	(sqrt.f64 (.f64 x (.f64 2 x)))
27.6b	(sqrt.f64 (.f64 x (.f64 2 x)))

rewrite44.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`pow1_binary64_140`
154×	`sqrt-pow1_binary64_97`
82×	`pow-prod-down_binary64_150`
33×	`sqrt-prod_binary64_95`
28×	`add-sqr-sqrt_binary64_101`
24×	`pow1/2_binary64_159`
21×	`pow-prod-up_binary64_149`
13×	`add-cube-cbrt_binary64_114` `pow-sqr_binary64_52` `*-un-lft-identity_binary64_79`
9×	`swap-sqr_binary64_46`
7×	`associate-l_binary64_20` `associate-r_binary64_19`
6×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
4×	`unswap-sqr_binary64_47` `add-log-exp_binary64_118`
3×	`rem-sqrt-square_binary64_92`
1×	`sqrt-unprod_binary64_99` `rem-square-sqrt_binary64_91` `sqr-abs_binary64_94` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-plus_binary64_142` `pow2_binary64_160`

Counts

4 → 131

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
5.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

series197.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
50.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
49.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
45.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5009	1257

prune141.0ms (6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0.2b

Counts

149 → 7

Compiler

Compiled 2222 to 1718 computations (22.7% saved)

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.9b	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 4)
27.6b	(sqrt.f64 (.f64 x (.f64 2 x)))
27.6b	(sqrt.f64 (.f64 x (.f64 x 2)))
27.6b	(sqrt.f64 (.f64 x (.f64 x 2)))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_140`
10×	`unpow-prod-down_binary64_158`
9×	`pow-prod-down_binary64_150` `sqrt-pow1_binary64_97`
8×	`sqrt-prod_binary64_95` `add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
7×	`cbrt-prod_binary64_110`
5×	`add-exp-log_binary64_117`
4×	`add-cbrt-cube_binary64_115` `add-log-exp_binary64_118`
3×	`pow-unpow_binary64_156` `pow1/2_binary64_159`
2×	`pow-pow_binary64_151`
1×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `sqr-pow_binary64_51` `pow1/3_binary64_161`

Counts

4 → 61

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 4)
4.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

series451.0ms (19.4%)

Counts

4 → 12

Calls

4 calls:

320.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 4)
47.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
43.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
40.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))

simplify100.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4864	872
1	4864	872

prune126.0ms (5.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	73	7	80

Merged error: 0.2b

Counts

80 → 7

Compiler

Compiled 2307 to 1832 computations (20.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_101`
6×	`associate-r_binary64_19`
4×	`sqrt-prod_binary64_95` `add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
3×	`add-exp-log_binary64_117` `associate-l_binary64_20` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
2×	`unswap-sqr_binary64_47`
1×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `add-log-exp_binary64_118`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series50.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4987	211
1	4987	211

prune60.0ms (2.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	23	9	32

Merged error: 0.1b

Counts

32 → 9

Compiler

Compiled 737 to 628 computations (14.8% saved)

regimes79.0ms (3.4%)

Compiler: Compiled 324 to 278 computations (14.2% saved)

bsearch15.0ms (0.6%)

Steps

Iters	Range		Point
8	-1.127321002485621e-305	5.20687394484729e-309	3.2457638208323e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	41
1	62	41

end0.0ms (0%)

sample452.0ms (19.4%)

Algorithm

1×

intervals

Results

185.0ms

8000×

body

128

valid

Compiler

Compiled 132 to 115 computations (12.9% saved)

Details

analyze3.0ms (0.1%)

sample10.0ms (0.4%)

simplify161.0ms (6.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series47.0ms (2%)

simplify150.0ms (6.4%)

prune46.0ms (2%)

localize7.0ms (0.3%)

rewrite44.0ms (1.9%)

series197.0ms (8.4%)

simplify82.0ms (3.5%)

prune141.0ms (6%)

localize17.0ms (0.7%)

rewrite23.0ms (1%)

series451.0ms (19.4%)

simplify100.0ms (4.3%)

prune126.0ms (5.4%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series50.0ms (2.2%)

simplify45.0ms (1.9%)

prune60.0ms (2.6%)

regimes79.0ms (3.4%)

bsearch15.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample452.0ms (19.4%)

Profiling