Details

analyze91.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9
0	1	1
1	1	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 (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify11.0ms (0.6%)

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

Error

33.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

31.8b

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

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series23.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify154.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune19.0ms (1.1%)

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

0.2b

Counts

16 → 6

Compiler

Compiled 175 to 136 computations (22.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series24.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify45.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune24.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	22	9	31

Error

0.1b

Counts

31 → 9

Compiler

Compiled 292 to 245 computations (16.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series68.0ms (4%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
28.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify79.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5269	559

prune52.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Error

0.0b

Counts

65 → 7

Compiler

Compiled 720 to 642 computations (10.8% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.3b	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`sqrt-prod_binary64_94`
25×	`associate-r_binary64_18`
20×	`add-sqr-sqrt_binary64_100`
17×	`add-exp-log_binary64_116`
12×	`unpow-prod-down_binary64_157`
11×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
10×	`prod-exp_binary64_127`
9×	`add-cbrt-cube_binary64_114`
5×	`unswap-sqr_binary64_46`
4×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `pow1_binary64_139`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `add-log-exp_binary64_117` `sqr-pow_binary64_50`
1×	`pow-prod-down_binary64_149`

Counts

2 → 61

Calls

2 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
8.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))

series180.0ms (10.6%)

Counts

2 → 6

Calls

2 calls:

153.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
26.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

simplify73.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4887	1083
1	4887	1083

prune76.0ms (4.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	66	8	74

Error

0.0b

Counts

74 → 8

Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes102.0ms (6.1%)

Accuracy

Total 0.2b remaining (83.7%)

Threshold costs 0.2b (83.7%)

Compiler

Compiled 516 to 461 computations (10.7% saved)

bsearch18.0ms (1.1%)

Steps

Iters	Range		Point
10	-6.306701114199167e-309	6.954193712566015e-299	-2.59892545517975e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	39
1	62	39

end0.0ms (0%)

sample561.0ms (33.2%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 195 to 175 computations (10.3% saved)

Details

analyze91.0ms (5.4%)

sample10.0ms (0.6%)

simplify11.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite4.0ms (0.3%)

series23.0ms (1.4%)

simplify154.0ms (9.1%)

prune19.0ms (1.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.4%)

series24.0ms (1.4%)

simplify45.0ms (2.7%)

prune24.0ms (1.4%)

localize6.0ms (0.3%)

rewrite20.0ms (1.2%)

series68.0ms (4%)

simplify79.0ms (4.6%)

prune52.0ms (3.1%)

localize10.0ms (0.6%)

rewrite24.0ms (1.4%)

series180.0ms (10.6%)

simplify73.0ms (4.3%)

prune76.0ms (4.5%)

regimes102.0ms (6.1%)

bsearch18.0ms (1.1%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample561.0ms (33.2%)

Profiling