Details

analyze6.0ms

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

sample275.0ms

Algorithm

intervals

Results

201.0ms	103×	body	2560	valid
44.0ms	84×	body	1280	valid
14.0ms	41×	body	640	valid
4.0ms	256×	pre	80	true
1.0ms	12×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	1×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	73	12
1	73	12

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: 59.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.8b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-exp-log_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

2 → 60

Calls

2 calls:

4.0ms	(/.f64 1 (tan.f64 x))
14.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 1 (tan.f64 x))
88.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5048	1005

prune50.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	1	67

Merged error: 0.3b

Counts

67 → 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))
0.3b	(*.f64 x 1/3)

rewrite28.0ms

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:

11.0ms	(+.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)

series95.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
30.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
12.0ms	(*.f64 x 1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5060	1176

prune91.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	11	100

Merged error: 0.2b

Counts

100 → 11

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))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
0.4b	(*.f64 x (sqrt.f64 1/3))

rewrite25.0ms

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:

5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
7.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
5.0ms	(*.f64 x (sqrt.f64 1/3))

series119.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
37.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
27.0ms	(*.f64 x (sqrt.f64 1/3))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5126	952

prune107.0ms

Filtered

62 candidates to 111 candidates (-79.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	110	12	122

Merged error: 0.1b

Counts

122 → 12

localize17.0ms

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))
0.2b	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-r_binary64`
37×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`unpow-prod-down_binary64` `prod-exp_binary64`
15×	`add-cbrt-cube_binary64`
13×	`sqrt-prod_binary64`
11×	`unswap-sqr_binary64`
10×	`associate-l_binary64`
6×	`pow1_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 110

Calls

4 calls:

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

series178.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 2/945 (pow.f64 x 5))
26.0ms	(*.f64 1/45 (pow.f64 x 3))
37.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
79.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

simplify96.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4886	1210
1	4886	1210

prune117.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	6	4	10
Picked	1	0	1
Done	0	1	1
Total	127	7	134

Merged error: 0.0b

Counts

134 → 7

regimes20.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms

sample7.2s

Algorithm

intervals

Results

5.2s	3203×	body	2560	valid
1.4s	2578×	body	1280	valid
232.0ms	1182×	body	640	valid
139.0ms	8000×	pre	80	true
79.0ms	644×	body	320	valid
30.0ms	345×	body	160	valid
2.0ms	48×	body	80	valid

Details

analyze6.0ms

sample275.0ms

simplify17.0ms

prune2.0ms

localize6.0ms

rewrite20.0ms

series134.0ms

simplify79.0ms

prune50.0ms

localize9.0ms

rewrite28.0ms

series95.0ms

simplify81.0ms

prune91.0ms

localize11.0ms

rewrite25.0ms

series119.0ms

simplify68.0ms

prune107.0ms

localize17.0ms

rewrite33.0ms

series178.0ms

simplify96.0ms

prune117.0ms

regimes20.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample7.2s

Profiling