Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample30.0ms

Algorithm

intervals

Results

15.0ms	192×	body	160	valid
7.0ms	64×	body	320	valid
3.0ms	256×	pre	80	true

simplify296.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (293.0ms)

Iter	Nodes	Cost
0	4961	19
1	4961	19

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: 61.8b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

61.8b

(+.f64 (*.f64 (+.f64 1.0 (*.f64 t 2e-16)) (+.f64 1.0 (*.f64 t 2e-16))) (-.f64 -1.0 (*.f64 2.0 (*.f64 t 2e-16))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-add_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
8×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
6×	`add-log-exp_binary64`
4×	`associate-r/_binary64` `associate-l/_binary64`
2×	`associate-+l+_binary64` `sum-log_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `associate-+r-_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

1 → 32

Calls

1 calls:

12.0ms

(+.f64 (*.f64 (+.f64 1.0 (*.f64 t 2e-16)) (+.f64 1.0 (*.f64 t 2e-16))) (-.f64 -1.0 (*.f64 2.0 (*.f64 t 2e-16))))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+.f64 (*.f64 (+.f64 1.0 (*.f64 t 2e-16)) (+.f64 1.0 (*.f64 t 2e-16))) (-.f64 -1.0 (*.f64 2.0 (*.f64 t 2e-16))))

simplify48.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5024	1699

prune66.0ms

Filtered

25 candidates to 35 candidates (-40.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	1	36

Merged error: 0.3b

Counts

36 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 3.9999999999999997e-32 (.f64 t t))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 3.9999999999999997e-32 (*.f64 t t))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 3.9999999999999997e-32 (*.f64 t t))

simplify53.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5043	129

prune27.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 t (sqrt.f64 3.9999999999999997e-32))
0.2b	(.f64 t (.f64 t (sqrt.f64 3.9999999999999997e-32)))
0.3b	(.f64 (sqrt.f64 3.9999999999999997e-32) (.f64 t (*.f64 t (sqrt.f64 3.9999999999999997e-32))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-r_binary64`
7×	`sqrt-prod_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

3 → 64

Calls

3 calls:

5.0ms	(*.f64 t (sqrt.f64 3.9999999999999997e-32))
6.0ms	(.f64 t (.f64 t (sqrt.f64 3.9999999999999997e-32)))
9.0ms	(.f64 (sqrt.f64 3.9999999999999997e-32) (.f64 t (*.f64 t (sqrt.f64 3.9999999999999997e-32))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 t (sqrt.f64 3.9999999999999997e-32))
6.0ms	(.f64 t (.f64 t (sqrt.f64 3.9999999999999997e-32)))
10.0ms	(.f64 (sqrt.f64 3.9999999999999997e-32) (.f64 t (*.f64 t (sqrt.f64 3.9999999999999997e-32))))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5059	431

prune67.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 3.9999999999999997e-32 t) t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 3.9999999999999997e-32 t) t)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (*.f64 3.9999999999999997e-32 t) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5162	121

prune13.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	21	8	29

Merged error: 0b

Counts

29 → 8

regimes39.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	9	9

end0.0ms

sample912.0ms

Algorithm

intervals

Results

493.0ms	6060×	body	160	valid
223.0ms	1940×	body	320	valid
104.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample30.0ms

simplify296.0ms

prune5.0ms

localize8.0ms

rewrite13.0ms

series5.0ms

simplify48.0ms

prune66.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify53.0ms

prune27.0ms

localize5.0ms

rewrite22.0ms

series21.0ms

simplify39.0ms

prune67.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify44.0ms

prune13.0ms

regimes39.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample912.0ms

Profiling