Details

analyze7.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample93.0ms

Algorithm

intervals

Results

56.0ms	111×	body	1280	valid
22.0ms	76×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	10×	body	80	valid

simplify279.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	4004	10
1	4004	10

prune9.0ms

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: 58.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.9b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5197	1239

prune105.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
12×	`add-log-exp_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `sum-log_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_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 → 70

Calls

3 calls:

13.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
7.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify38.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5184	727

prune79.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
6.0b	(log.f64 (+.f64 1 x))
6.0b	(log.f64 (-.f64 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate--r+_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify82.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4881	681
1	4881	681

prune72.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) (log.f64 (-.f64 1 x)))
1.4b	(log.f64 (+.f64 1 (pow.f64 x 3)))
6.0b	(log.f64 (-.f64 1 x))
6.0b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
20×	`pow1_binary64` `distribute-lft-out--_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`log-pow_binary64`
11×	`associate--l+_binary64`
10×	`log-div_binary64`
9×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
6×	`associate--r+_binary64`
5×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`associate--r-_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64`
1×	`associate--l-_binary64`

Counts

4 → 86

Calls

4 calls:

18.0ms	(-.f64 (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) (log.f64 (-.f64 1 x)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
4.0ms	(log.f64 (-.f64 1 x))
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) (log.f64 (-.f64 1 x)))
18.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
3.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5493	1498

prune104.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

regimes37.0ms

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	19	17
1	19	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s	3385×	body	1280	valid
698.0ms	2454×	body	640	valid
223.0ms	1282×	body	320	valid
70.0ms	649×	body	160	valid
12.0ms	230×	body	80	valid

Details

analyze7.0ms

sample93.0ms

simplify279.0ms

prune9.0ms

localize7.0ms

rewrite21.0ms

series10.0ms

simplify53.0ms

prune105.0ms

localize13.0ms

rewrite27.0ms

series21.0ms

simplify38.0ms

prune79.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify82.0ms

prune72.0ms

localize14.0ms

rewrite38.0ms

series42.0ms

simplify57.0ms

prune104.0ms

regimes37.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling