Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

sample242.0ms

Algorithm

intervals

Results

172.0ms	107×	body	2560	valid
43.0ms	72×	body	1280	valid
9.0ms	256×	pre	80	true
6.0ms	37×	body	640	valid
3.0ms	28×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	8
1	71	8

prune2.0ms

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: 59.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.7b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64`
4×	`div-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 28

Calls

1 calls:

14.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series19.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4917	416
1	4917	416

prune35.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	1	32

Merged error: 0.4b

Counts

32 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.4b	(*.f64 x 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
16×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`prod-exp_binary64`
6×	`pow1_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`cbrt-unprod_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
4.0ms	(*.f64 x 1/3)

series27.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
7.0ms	(*.f64 2/945 (pow.f64 x 5))
9.0ms	(*.f64 1/45 (pow.f64 x 3))
3.0ms	(*.f64 x 1/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5108	791

prune119.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 0.2b

Counts

100 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 1/45)
0.4b	(*.f64 x 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
15×	`add-exp-log_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-cbrt-cube_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`prod-exp_binary64`
5×	`pow1_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 74

Calls

3 calls:

5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 1/45)
4.0ms	(*.f64 x 1/3)

series18.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 1/45)
3.0ms	(*.f64 x 1/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	485
1	4981	485

prune92.0ms

Filtered

52 candidates to 83 candidates (-59.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.2b

Counts

93 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x (sqrt.f64 1/3))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
31×	`associate-r_binary64`
21×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64` `prod-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`unpow-prod-down_binary64`
7×	`sqrt-prod_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `cube-prod_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

4 → 99

Calls

4 calls:

6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 x (sqrt.f64 1/3))
9.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 2/945 (pow.f64 x 5))
5.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 x (sqrt.f64 1/3))
9.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

simplify39.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5155	631

prune101.0ms

Filtered

63 candidates to 111 candidates (-76.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	107	14	121

Merged error: 0.1b

Counts

121 → 14

regimes64.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample7.3s

Algorithm

intervals

Results

5.3s	3276×	body	2560	valid
1.3s	2453×	body	1280	valid
234.0ms	1235×	body	640	valid
136.0ms	8000×	pre	80	true
75.0ms	644×	body	320	valid
29.0ms	344×	body	160	valid
2.0ms	48×	body	80	valid

Details

analyze5.0ms

sample242.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite15.0ms

series19.0ms

simplify88.0ms

prune35.0ms

localize9.0ms

rewrite27.0ms

series27.0ms

simplify51.0ms

prune119.0ms

localize10.0ms

rewrite17.0ms

series18.0ms

simplify53.0ms

prune92.0ms

localize11.0ms

rewrite29.0ms

series27.0ms

simplify39.0ms

prune101.0ms

regimes64.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.3s

Profiling