Details

analyze2.0ms

Algorithm

Search

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

sample30.0ms

Algorithm

intervals

Results

14.0ms	185×	body	160	valid
8.0ms	71×	body	320	valid
3.0ms	256×	pre	80	true

simplify290.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

Iter	Nodes	Cost
0	4828	7
1	4828	7

prune3.0ms

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)

rewrite9.0ms

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))

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series32.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms

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

12.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify100.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4985	290
1	4985	290

prune26.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite14.0ms

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

6.0ms

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms

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

13.0ms

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

simplify103.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5067	335

prune22.0ms

Filtered

24 candidates to 48 candidates (-100.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite14.0ms

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))

series37.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms

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

20.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4960	395
1	4960	395

prune23.0ms

Filtered

24 candidates to 48 candidates (-100.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0b

Counts

56 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.2b

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

0.3b

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

10.0ms

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

12.0ms

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

8.0ms

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms

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

50.0ms

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

35.0ms

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

simplify109.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5042	695

prune33.0ms

Filtered

40 candidates to 81 candidates (-102.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0b

Counts

89 → 8

regimes15.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample878.0ms

Algorithm

intervals

Results

460.0ms	6052×	body	160	valid
213.0ms	1948×	body	320	valid
102.0ms	8000×	pre	80	true

Details

analyze2.0ms

sample30.0ms

simplify290.0ms

prune3.0ms

localize3.0ms

rewrite9.0ms

series32.0ms

simplify100.0ms

prune26.0ms

localize5.0ms

rewrite14.0ms

series33.0ms

simplify103.0ms

prune22.0ms

localize5.0ms

rewrite14.0ms

series37.0ms

simplify81.0ms

prune23.0ms

localize8.0ms

rewrite32.0ms

series140.0ms

simplify109.0ms

prune33.0ms

regimes15.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample878.0ms

Profiling