Details

analyze122.0ms

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
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5159	29

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
17×	`pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series37.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
6.0ms	(.f64 (.f64 a a) (-.f64 1 a))
11.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
6.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5170	1267

prune130.0ms

Filtered

73 candidates to 106 candidates (-45.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Merged error: 0.0b

Counts

107 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
2.1b	(.f64 (.f64 b b) (*.f64 a a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `frac-add_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
3×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`

Counts

4 → 105

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series34.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
6.0ms	(.f64 (.f64 a a) (-.f64 1 a))
6.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify68.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4942	1210
1	4942	1210

prune127.0ms

Filtered

73 candidates to 117 candidates (-60.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
24.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
14×	`add-cbrt-cube_binary64`
10×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-unpow_binary64`
2×	`sub-neg_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 82

Calls

4 calls:

11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

series69.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(.f64 (.f64 a a) (-.f64 1 a))
47.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
6.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

simplify36.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5369	912

prune90.0ms

Filtered

60 candidates to 94 candidates (-56.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
21.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
25.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

series79.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
6.0ms	(.f64 (.f64 b b) (+.f64 3 a))
23.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
25.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4909	972
1	4909	972

prune96.0ms

Filtered

60 candidates to 84 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	37
1	54	37

end0.0ms

sample625.0ms

Algorithm

intervals

Results

491.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze122.0ms

sample25.0ms

simplify45.0ms

prune5.0ms

localize14.0ms

rewrite39.0ms

series37.0ms

simplify55.0ms

prune130.0ms

localize21.0ms

rewrite44.0ms

series34.0ms

simplify68.0ms

prune127.0ms

localize16.0ms

rewrite32.0ms

series69.0ms

simplify36.0ms

prune90.0ms

localize22.0ms

rewrite26.0ms

series79.0ms

simplify64.0ms

prune96.0ms

regimes142.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample625.0ms

Profiling