Details

analyze5.0ms (0.2%)

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 9 to 5 computations (44.4% saved)

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify125.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

31.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

30.3b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_139`
2×	`sqrt-pow1_binary64_96` `sqrt-div_binary64_95` `associate-*r/_binary64_20`
1×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `flip-+_binary64_52` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `pow-prod-down_binary64_149` `pow1/2_binary64_158` `*-un-lft-identity_binary64_78` `flip3-+_binary64_81`

Counts

1 → 13

Calls

1 calls:

11.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

series69.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

69.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify114.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5009	140

prune39.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Error

0.2b

Counts

17 → 6

Compiler

Compiled 174 to 78 computations (55.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

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))

series29.0ms (1%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5010	211

prune26.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Error

0.1b

Counts

31 → 8

Compiler

Compiled 280 to 235 computations (16.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite47.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_116` `pow1_binary64_139`
10×	`associate-r_binary64_18`
9×	`add-cbrt-cube_binary64_114` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
7×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19`
3×	`sqrt-prod_binary64_94`
2×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
1×	`unswap-sqr_binary64_46`

Counts

2 → 46

Calls

2 calls:

25.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
15.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series238.0ms (7.8%)

Counts

2 → 6

Calls

2 calls:

190.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
47.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify123.0ms (4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4908	577
1	4908	577

prune52.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	51	9	60

Error

0.0b

Counts

60 → 9

Compiler

Compiled 736 to 664 computations (9.8% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b

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

0.3b

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

0.4b

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

rewrite72.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_116`
48×	`prod-exp_binary64_127`
27×	`associate-r_binary64_18`
23×	`cbrt-prod_binary64_109`
22×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111`
17×	`pow1_binary64_139`
12×	`unpow-prod-down_binary64_157` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`pow-prod-down_binary64_149`
7×	`sqrt-prod_binary64_94`
6×	`unswap-sqr_binary64_46`
5×	`associate-l_binary64_19` `pow-exp_binary64_146` `pow-to-exp_binary64_147`
3×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
2×	`unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

3 → 97

Calls

3 calls:

22.0ms

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

17.0ms

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

13.0ms

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

series510.0ms (16.8%)

Counts

3 → 9

Calls

3 calls:

251.0ms

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

220.0ms

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

39.0ms

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

simplify89.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5168	1349

prune154.0ms (5.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Error

0.0b

Counts

115 → 9

Compiler

Compiled 2038 to 1900 computations (6.8% saved)

regimes227.0ms (7.5%)

Accuracy

Total 0.3b remaining (88.3%)

Threshold costs 0.3b (88.3%)

Compiler

Compiled 993 to 776 computations (21.9% saved)

bsearch18.0ms (0.6%)

Steps

Iters	Range		Point
10	-3.3581669044153863e-300	1.5228237703279055e-305	-2.44857824309404e-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	61	41
1	61	41

end0.0ms (0%)

sample951.0ms (31.3%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 254 to 204 computations (19.7% saved)

Details

analyze5.0ms (0.2%)

sample11.0ms (0.4%)

simplify125.0ms (4.1%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite14.0ms (0.5%)

series69.0ms (2.3%)

simplify114.0ms (3.8%)

prune39.0ms (1.3%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series29.0ms (1%)

simplify83.0ms (2.7%)

prune26.0ms (0.9%)

localize7.0ms (0.2%)

rewrite47.0ms (1.6%)

series238.0ms (7.8%)

simplify123.0ms (4%)

prune52.0ms (1.7%)

localize10.0ms (0.3%)

rewrite72.0ms (2.4%)

series510.0ms (16.8%)

simplify89.0ms (2.9%)

prune154.0ms (5.1%)

regimes227.0ms (7.5%)

bsearch18.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample951.0ms (31.3%)

Profiling