Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune5.0ms

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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.2b	(*.f64 841/108 x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 (*.f64 841/108 x) 4/29)
2.0ms	(*.f64 841/108 x)

simplify85.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4836	187
1	4836	187

prune43.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 0b

Counts

36 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.3b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

11.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
5.0ms	(*.f64 x (sqrt.f64 841/108))
7.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
7.0ms	(*.f64 x (sqrt.f64 841/108))
14.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

simplify66.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4904	337
1	4904	337

prune50.0ms

Filtered

39 candidates to 63 candidates (-61.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

0.3b

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

0.6b

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`associate-l_binary64`
11×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`unpow-prod-down_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 65

Calls

3 calls:

9.0ms

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

9.0ms

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

6.0ms

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

series32.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

9.0ms

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

14.0ms

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

simplify63.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4938	495
1	4938	495

prune64.0ms

Filtered

48 candidates to 74 candidates (-54.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
0.2b	(*.f64 841/108 (sqrt.f64 x))
0.2b	(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

8.0ms	(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
5.0ms	(*.f64 841/108 (sqrt.f64 x))
7.0ms	(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
5.0ms	(*.f64 841/108 (sqrt.f64 x))
4.0ms	(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5040	423

prune44.0ms

Filtered

40 candidates to 63 candidates (-57.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	63	5	68

Merged error: 0b

Counts

68 → 5

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample296.0ms

Algorithm

intervals

Results

208.0ms	7996×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify5.0ms

prune5.0ms

localize3.0ms

rewrite8.0ms

series6.0ms

simplify85.0ms

prune43.0ms

localize6.0ms

rewrite26.0ms

series37.0ms

simplify66.0ms

prune50.0ms

localize14.0ms

rewrite27.0ms

series32.0ms

simplify63.0ms

prune64.0ms

localize7.0ms

rewrite21.0ms

series13.0ms

simplify53.0ms

prune44.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample296.0ms

Profiling