Details

analyze3.0ms

Algorithm

Search

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.7b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(+.f64 b (+.f64 c d))
3.0b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
9×	`distribute-lft-out_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 b (+.f64 c d))
9.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 b (+.f64 c d))
10.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

simplify39.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4924	307
1	4924	307

prune43.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.5b

Counts

39 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
6×	`distribute-lft-out_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 17

Calls

1 calls:

9.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

simplify33.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5390	181

prune35.0ms

Filtered

14 candidates to 20 candidates (-42.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.2b

Counts

27 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
3.0b	(+.f64 a (+.f64 d (+.f64 b c)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
18×	`distribute-lft-out_binary64` `cbrt-prod_binary64`
11×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64` `sum-log_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-div_binary64` `flip3-+_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64` `flip-+_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `+-commutative_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

2 → 46

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4891	545
1	4891	545

prune37.0ms

Filtered

25 candidates to 52 candidates (-108.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	56	6	62

Merged error: 0.4b

Counts

62 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
16×	`distribute-lft-out_binary64`
7×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`cbrt-div_binary64` `cube-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

1 → 35

Calls

1 calls:

10.0ms

(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify22.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5281	551

prune25.0ms

Filtered

21 candidates to 38 candidates (-81.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	43	1	44

Merged error: 0b

Counts

44 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample678.0ms

Algorithm

intervals

Results

299.0ms	8000×	pre	80	true
200.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample24.0ms

simplify6.0ms

prune3.0ms

localize11.0ms

rewrite16.0ms

series15.0ms

simplify39.0ms

prune43.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify33.0ms

prune35.0ms

localize9.0ms

rewrite20.0ms

series23.0ms

simplify68.0ms

prune37.0ms

localize9.0ms

rewrite12.0ms

series14.0ms

simplify22.0ms

prune25.0ms

simplify2.0ms

end0.0ms

sample678.0ms

Profiling