Details

analyze1.0ms

Algorithm

Search

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

sample30.0ms

Algorithm

intervals

Results

13.0ms	177×	body	160	valid
9.0ms	79×	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

prune8.0ms

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 (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.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:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms

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

2.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify68.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4867	199
1	4867	199

prune26.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

(*.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:

8.0ms

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

7.0ms

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

series6.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms

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

2.0ms

(*.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

prune21.0ms

Filtered

23 candidates to 48 candidates (-108.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	49	6	55

Merged error: 0.0b

Counts

55 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite17.0ms

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:

7.0ms

(*.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))

4.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4914	270
1	4914	270

prune23.0ms

Filtered

24 candidates to 48 candidates (-100.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0b

Counts

54 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite7.0ms

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)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4908	121
1	4908	121

prune10.0ms

Filtered

11 candidates to 22 candidates (-100.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 0b

Counts

29 → 7

regimes22.0ms

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

sample914.0ms

Algorithm

intervals

Results

483.0ms	5979×	body	160	valid
237.0ms	2021×	body	320	valid
102.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample30.0ms

simplify207.0ms

prune8.0ms

localize3.0ms

rewrite10.0ms

series6.0ms

simplify68.0ms

prune26.0ms

localize7.0ms

rewrite16.0ms

series6.0ms

simplify58.0ms

prune21.0ms

localize5.0ms

rewrite17.0ms

series7.0ms

simplify67.0ms

prune23.0ms

localize3.0ms

rewrite7.0ms

series4.0ms

simplify65.0ms

prune10.0ms

regimes22.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample914.0ms

Profiling