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

sample236.0ms

Algorithm

intervals

Results

168.0ms	107×	body	2560	valid
47.0ms	72×	body	1280	valid
6.0ms	37×	body	640	valid
4.0ms	256×	pre	80	true
3.0ms	28×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	220	8
1	220	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 1.0 x) (/.f64 1.0 (tan.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
5×	`distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`div-inv_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 → 21

Calls

1 calls:

14.0ms

(-.f64 (/.f64 1.0 x) (/.f64 1.0 (tan.f64 x)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(-.f64 (/.f64 1.0 x) (/.f64 1.0 (tan.f64 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4912	322
1	4912	322

prune35.0ms

Filtered

21 candidates to 24 candidates (-14.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	1	25

Merged error: 0.4b

Counts

25 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

0.1b

(*.f64 0.0021164021164021165 (pow.f64 x 5))

0.1b

(*.f64 0.022222222222222223 (pow.f64 x 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

9.0ms

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

7.0ms

(*.f64 0.0021164021164021165 (pow.f64 x 5))

7.0ms

(*.f64 0.022222222222222223 (pow.f64 x 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

6.0ms

(*.f64 0.0021164021164021165 (pow.f64 x 5))

5.0ms

(*.f64 0.022222222222222223 (pow.f64 x 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4943	707
1	4943	707

prune88.0ms

Filtered

49 candidates to 78 candidates (-59.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 0.3b

Counts

79 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
0.0b	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
0.1b	(*.f64 0.0021164021164021165 (pow.f64 x 5))
0.1b	(*.f64 0.022222222222222223 (pow.f64 x 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
6.0ms	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
5.0ms	(*.f64 0.0021164021164021165 (pow.f64 x 5))
6.0ms	(*.f64 0.022222222222222223 (pow.f64 x 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
17.0ms	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
6.0ms	(*.f64 0.0021164021164021165 (pow.f64 x 5))
5.0ms	(*.f64 0.022222222222222223 (pow.f64 x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5227	920

prune113.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 0.3b

Counts

98 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
9.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
8.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
8.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
25.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
28.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
26.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4987	3186
1	4987	3186

prune290.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	15	105

Merged error: 0.2b

Counts

105 → 15

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b 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

sample7.2s

Algorithm

intervals

Results

5.3s	3276×	body	2560	valid
1.3s	2453×	body	1280	valid
224.0ms	1235×	body	640	valid
128.0ms	8000×	pre	80	true
72.0ms	644×	body	320	valid
27.0ms	344×	body	160	valid
2.0ms	48×	body	80	valid

Details

analyze6.0ms

sample236.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series25.0ms

simplify47.0ms

prune35.0ms

localize9.0ms

rewrite25.0ms

series20.0ms

simplify59.0ms

prune88.0ms

localize10.0ms

rewrite28.0ms

series38.0ms

simplify48.0ms

prune113.0ms

localize16.0ms

rewrite48.0ms

series109.0ms

simplify41.0ms

prune290.0ms

regimes90.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.2s

Profiling