Details

analyze67.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune4.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.2b	(.f64 (.f64 y y) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
6.0ms	(.f64 (.f64 y y) 3)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
3.0ms	(.f64 (.f64 y y) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4939	289
1	4939	289

prune28.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
5.0ms	(.f64 y (.f64 y 3))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
3.0ms	(.f64 y (.f64 y 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4926	279
1	4926	279

prune19.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (sqrt.f64 3))) (sqrt.f64 3)))
0.2b	(.f64 y (.f64 y (sqrt.f64 3)))
0.3b	(.f64 (.f64 y (*.f64 y (sqrt.f64 3))) (sqrt.f64 3))
0.4b	(*.f64 y (sqrt.f64 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (sqrt.f64 3))) (sqrt.f64 3)))
6.0ms	(.f64 y (.f64 y (sqrt.f64 3)))
10.0ms	(.f64 (.f64 y (*.f64 y (sqrt.f64 3))) (sqrt.f64 3))
5.0ms	(*.f64 y (sqrt.f64 3))

series30.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (sqrt.f64 3))) (sqrt.f64 3)))
5.0ms	(.f64 y (.f64 y (sqrt.f64 3)))
8.0ms	(.f64 (.f64 y (*.f64 y (sqrt.f64 3))) (sqrt.f64 3))
5.0ms	(*.f64 y (sqrt.f64 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6263	600

prune33.0ms

Filtered

48 candidates to 87 candidates (-81.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 3))
0.3b	(.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
0.3b	(.f64 y (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod_binary64`
45×	`pow1_binary64` `add-sqr-sqrt_binary64`
40×	`add-exp-log_binary64`
26×	`pow-prod-down_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
25×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`associate-l_binary64`
11×	`swap-sqr_binary64`
10×	`unswap-sqr_binary64`
6×	`pow1/3_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 132

Calls

4 calls:

18.0ms	(.f64 (.f64 y (.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 3))
13.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
9.0ms	(.f64 y (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

series74.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(.f64 (.f64 y (.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 3))
9.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
46.0ms	(.f64 y (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

simplify96.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4929	1023
1	4929	1023

prune91.0ms

Filtered

77 candidates to 142 candidates (-84.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	142	4	146

Merged error: 0b

Counts

146 → 4

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample358.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze67.0ms

sample13.0ms

simplify6.0ms

prune4.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify41.0ms

prune28.0ms

localize6.0ms

rewrite11.0ms

series11.0ms

simplify57.0ms

prune19.0ms

localize8.0ms

rewrite29.0ms

series30.0ms

simplify53.0ms

prune33.0ms

localize14.0ms

rewrite54.0ms

series74.0ms

simplify96.0ms

prune91.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample358.0ms

Profiling