Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample41.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	valid
8.0ms	156×	body	80	invalid
0.0ms	1×	body	320	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune10.0ms

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: 0.0b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t 1.0) a)
0.0b	(*.f64 (-.f64 y 1.0) z)
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
16×	`associate-l_binary64`
13×	`add-log-exp_binary64`
12×	`frac-add_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`frac-sub_binary64`
4×	`distribute-lft-out--_binary64`
3×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `associate-+l+_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

4 → 95

Calls

4 calls:

7.0ms	(*.f64 (-.f64 t 1.0) a)
7.0ms	(*.f64 (-.f64 y 1.0) z)
15.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

series70.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 t 1.0) a)
4.0ms	(*.f64 (-.f64 y 1.0) z)
56.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5008	2365

prune139.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 y 1.0)) (cbrt.f64 (-.f64 y 1.0)))
0.2b	(cbrt.f64 (-.f64 y 1.0))
0.2b	(cbrt.f64 (-.f64 y 1.0))
0.2b	(cbrt.f64 (-.f64 y 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_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 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 y 1.0)) (cbrt.f64 (-.f64 y 1.0)))
3.0ms	(cbrt.f64 (-.f64 y 1.0))
3.0ms	(cbrt.f64 (-.f64 y 1.0))
4.0ms	(cbrt.f64 (-.f64 y 1.0))

series38.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 y 1.0)) (cbrt.f64 (-.f64 y 1.0)))
8.0ms	(cbrt.f64 (-.f64 y 1.0))
8.0ms	(cbrt.f64 (-.f64 y 1.0))
11.0ms	(cbrt.f64 (-.f64 y 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4975	1278
1	4975	1278

prune171.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
0.7b	(cbrt.f64 a)
0.7b	(cbrt.f64 a)
0.7b	(cbrt.f64 a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series116.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
27.0ms	(cbrt.f64 a)
29.0ms	(cbrt.f64 a)
28.0ms	(cbrt.f64 a)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune89.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (sqrt.f64 y) (sqrt.f64 1.0))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
0.1b	(*.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0)))
0.1b	(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 1.0)) (.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
14×	`associate-l_binary64` `sqrt-prod_binary64`
13×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
4×	`frac-times_binary64` `associate-*l/_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`diff-log_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(-.f64 (sqrt.f64 y) (sqrt.f64 1.0))
15.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
10.0ms	(*.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0)))
16.0ms	(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 1.0)) (.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 (sqrt.f64 y) (sqrt.f64 1.0))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
10.0ms	(*.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0)))
37.0ms	(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 1.0)) (.f64 z (-.f64 (sqrt.f64 y) (sqrt.f64 1.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5023	1161

prune115.0ms

Filtered

77 candidates to 112 candidates (-45.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

regimes424.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	285	32
1	285	32

end0.0ms

sample1.1s

Algorithm

intervals

Results

441.0ms	7997×	body	80	valid
240.0ms	4470×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.5s

sample41.0ms

simplify113.0ms

prune10.0ms

localize19.0ms

rewrite43.0ms

series70.0ms

simplify41.0ms

prune139.0ms

localize18.0ms

rewrite28.0ms

series38.0ms

simplify36.0ms

prune171.0ms

localize18.0ms

rewrite12.0ms

series116.0ms

simplify45.0ms

prune89.0ms

localize17.0ms

rewrite62.0ms

series58.0ms

simplify56.0ms

prune115.0ms

regimes424.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.1s

Profiling