Details

analyze4.0ms

Algorithm

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

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 29.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

28.9b

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64` `flip-+_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4818	91
1	4818	91

prune25.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.2b

Counts

17 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4888	133
1	4888	133

prune30.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	23	7	30

Merged error: 0.1b

Counts

30 → 7

localize6.0ms

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)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

8.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
12.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
6.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5150	361

prune51.0ms

Filtered

32 candidates to 52 candidates (-62.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Merged error: 0.1b

Counts

59 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b

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

0.2b

(*.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)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log_binary64`
48×	`prod-exp_binary64`
27×	`associate-r_binary64`
23×	`cbrt-prod_binary64`
22×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
17×	`pow1_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
9×	`pow-prod-down_binary64`
7×	`sqrt-prod_binary64`
6×	`unswap-sqr_binary64`
5×	`pow-to-exp_binary64` `associate-l_binary64` `pow-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64`

Counts

3 → 97

Calls

3 calls:

8.0ms

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

18.0ms

(*.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))))

13.0ms

(*.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)))))

series99.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms

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

6.0ms

(*.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))))

51.0ms

(*.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)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4906	830
1	4906	830

prune81.0ms

Filtered

54 candidates to 106 candidates (-96.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	106	7	113

Merged error: 0.1b

Counts

113 → 7

regimes41.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.4b

bsearch14.0ms

Steps

Iters	Range		Point
11	-3.0183957739187235e-302	1.300418255857306e-287	-2.8491681377424e-310

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	31
1	42	31

end0.0ms

sample274.0ms

Algorithm

intervals

Results

183.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify5.0ms

prune5.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify68.0ms

prune25.0ms

localize3.0ms

rewrite6.0ms

series5.0ms

simplify34.0ms

prune30.0ms

localize6.0ms

rewrite21.0ms

series49.0ms

simplify56.0ms

prune51.0ms

localize10.0ms

rewrite43.0ms

series99.0ms

simplify70.0ms

prune81.0ms

regimes41.0ms

bsearch14.0ms

simplify4.0ms

end0.0ms

sample274.0ms

Profiling