Details

analyze1.0ms

Algorithm

Search

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

sample28.0ms

Algorithm

intervals

Results

14.0ms	193×	body	160	valid
7.0ms	63×	body	320	valid
3.0ms	256×	pre	80	true

simplify207.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	4839	5
1	4839	5

prune4.0ms

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

5.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

3.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

simplify70.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4867	199
1	4867	199

prune24.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

6.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

8.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

series6.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

3.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

simplify58.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4810	230
1	4810	230

prune23.0ms

Filtered

23 candidates to 48 candidates (-108.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

0.3b

(*.f64 (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

5.0ms

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

8.0ms

(*.f64 (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

3.0ms

(*.f64 (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

simplify66.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	270
1	4914	270

prune22.0ms

Filtered

23 candidates to 48 candidates (-108.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

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` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (*.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify64.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4908	121
1	4908	121

prune6.0ms

Filtered

11 candidates to 22 candidates (-100.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	22	8	30

Merged error: 0.0b

Counts

30 → 8

regimes47.0ms

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	7
1	9	7

end0.0ms

sample842.0ms

Algorithm

intervals

Results

450.0ms	6010×	body	160	valid
212.0ms	1990×	body	320	valid
94.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample28.0ms

simplify207.0ms

prune4.0ms

localize3.0ms

rewrite10.0ms

series5.0ms

simplify70.0ms

prune24.0ms

localize5.0ms

rewrite16.0ms

series6.0ms

simplify58.0ms

prune23.0ms

localize5.0ms

rewrite15.0ms

series7.0ms

simplify66.0ms

prune22.0ms

localize3.0ms

rewrite6.0ms

series3.0ms

simplify64.0ms

prune6.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample842.0ms

Profiling