Details

analyze3.0ms

Algorithm

Search

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

sample23.0ms

Algorithm

intervals

Results

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

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune5.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(+.f64 b (+.f64 c d))
2.9b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64_555` `*-un-lft-identity_binary64_590`
9×	`distribute-lft-out_binary64_634` `sum-log_binary64_500`
2×	`associate-+r+_binary64_641` `add-cbrt-cube_binary64_562` `flip-+_binary64_615` `+-commutative_binary64_657` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `pow1_binary64_532` `flip3-+_binary64_588` `add-sqr-sqrt_binary64_575`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 b (+.f64 c d))
8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 b (+.f64 c d))
29.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

simplify66.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4893	450
1	4893	450

prune36.0ms

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:

2.9b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64_555` `*-un-lft-identity_binary64_590`
6×	`distribute-lft-out_binary64_634` `sum-log_binary64_500`
1×	`associate-+r+_binary64_641` `add-cbrt-cube_binary64_562` `flip-+_binary64_615` `+-commutative_binary64_657` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `pow1_binary64_532` `flip3-+_binary64_588` `add-sqr-sqrt_binary64_575`

Counts

1 → 17

Calls

1 calls:

8.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5461	266

prune25.0ms

Filtered

14 candidates to 20 candidates (-42.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	16	11	27

Merged error: 2.2b

Counts

27 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.9b	(+.f64 a (+.f64 d (+.f64 b c)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_590`
18×	`distribute-lft-out_binary64_634` `cbrt-prod_binary64_557`
11×	`add-log-exp_binary64_555`
6×	`unpow-prod-down_binary64_521` `cube-prod_binary64_563` `sum-log_binary64_500`
5×	`add-cube-cbrt_binary64_561` `add-sqr-sqrt_binary64_575`
2×	`add-cbrt-cube_binary64_562` `flip-+_binary64_615` `cube-div_binary64_564` `add-exp-log_binary64_554` `cbrt-div_binary64_558` `pow1_binary64_532` `flip3-+_binary64_588`
1×	`pow1/3_binary64_524` `associate-+r+_binary64_641` `+-commutative_binary64_657` `cube-mult_binary64_565` `sqr-pow_binary64_622` `unpow3_binary64_530` `rem-cbrt-cube_binary64_567`

Counts

2 → 46

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
27.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

simplify117.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4893	805
1	4893	805

prune32.0ms

Filtered

25 candidates to 52 candidates (-108.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	56	7	63

Merged error: 0.4b

Counts

63 → 7

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_590`
20×	`cbrt-prod_binary64_557`
16×	`distribute-lft-out_binary64_634`
7×	`unpow-prod-down_binary64_521` `cube-prod_binary64_563`
6×	`cube-div_binary64_564` `cbrt-div_binary64_558`
5×	`flip-+_binary64_615` `flip3-+_binary64_588`
4×	`add-cube-cbrt_binary64_561` `add-sqr-sqrt_binary64_575` `frac-add_binary64_580`
1×	`pow1/3_binary64_524` `add-cbrt-cube_binary64_562` `cube-mult_binary64_565` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `sqr-pow_binary64_622` `pow1_binary64_532` `unpow3_binary64_530` `rem-cbrt-cube_binary64_567`

Counts

1 → 35

Calls

1 calls:

11.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4990	818
1	4990	818

prune31.0ms

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	5	0	5
Picked	1	0	1
Done	1	0	1
Total	44	1	45

Merged error: 0b

Counts

45 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms

sample677.0ms

Algorithm

intervals

Results

299.0ms	8000×	pre	80	true
191.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample23.0ms

simplify14.0ms

prune5.0ms

localize7.0ms

rewrite15.0ms

series43.0ms

simplify66.0ms

prune36.0ms

localize6.0ms

rewrite9.0ms

series28.0ms

simplify57.0ms

prune25.0ms

localize9.0ms

rewrite18.0ms

series69.0ms

simplify117.0ms

prune32.0ms

localize9.0ms

rewrite13.0ms

series36.0ms

simplify63.0ms

prune31.0ms

simplify2.0ms

end0.0ms

sample677.0ms

Profiling