Details

analyze51.0ms

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	950	9
1	950	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 16.0 116.0))
0.0b	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
0.1b	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64` `times-frac_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(-.f64 x (/.f64 16.0 116.0))
10.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

series17.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 x (/.f64 16.0 116.0))
8.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
7.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5099	586

prune77.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (/.f64 16.0 116.0))
0.3b	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 3.0 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

7.0ms	(-.f64 x (/.f64 16.0 116.0))
11.0ms	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 3.0 y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 x (/.f64 16.0 116.0))
7.0ms	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 3.0 y))

simplify39.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5099	401

prune51.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0b

Counts

51 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 16.0 116.0))
0.0b	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
0.1b	(.f64 (.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)
0.7b	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
12×	`-un-lft-identity_binary64` `associate-l/_binary64`
10×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`cbrt-prod_binary64` `*-commutative_binary64`
2×	`distribute-lft-out--_binary64` `times-frac_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64`

Counts

4 → 90

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 16.0 116.0))
14.0ms	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
19.0ms	(.f64 (.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)
16.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 x (/.f64 16.0 116.0))
15.0ms	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
13.0ms	(.f64 (.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)
19.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5034	989

prune94.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 16.0 116.0))
0.6b	(.f64 3.0 (-.f64 (.f64 x x) (*.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))
3.2b	(.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0)))))
9.1b	(/.f64 (.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))) (+.f64 x (/.f64 16.0 116.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`
9×	`add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `sub-neg_binary64` `associate-l_binary64`
5×	`associate-r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `associate-/r*_binary64` `times-frac_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 88

Calls

4 calls:

7.0ms	(+.f64 x (/.f64 16.0 116.0))
8.0ms	(.f64 3.0 (-.f64 (.f64 x x) (*.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))
9.0ms	(.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0)))))
16.0ms	(/.f64 (.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))) (+.f64 x (/.f64 16.0 116.0)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 x (/.f64 16.0 116.0))
8.0ms	(.f64 3.0 (-.f64 (.f64 x x) (*.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))
15.0ms	(.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0)))))
25.0ms	(/.f64 (.f64 y (.f64 3.0 (-.f64 (.f64 x x) (.f64 (/.f64 16.0 116.0) (/.f64 16.0 116.0))))) (+.f64 x (/.f64 16.0 116.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5088	1335

prune111.0ms

Filtered

65 candidates to 100 candidates (-53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	4	0	4
Picked	0	1	1
Done	1	2	3
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes184.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample353.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
5.0ms	64×	body	80	invalid

Details

analyze51.0ms

sample14.0ms

simplify72.0ms

prune3.0ms

localize6.0ms

rewrite29.0ms

series17.0ms

simplify52.0ms

prune77.0ms

localize6.0ms

rewrite18.0ms

series12.0ms

simplify39.0ms

prune51.0ms

localize10.0ms

rewrite58.0ms

series51.0ms

simplify39.0ms

prune94.0ms

localize11.0ms

rewrite43.0ms

series50.0ms

simplify32.0ms

prune111.0ms

regimes184.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample353.0ms

Profiling