Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

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

sample29.0ms (2.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune7.0ms (0.5%)

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: 3.8b

Counts

2 → 1

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 b (+.f64 c d))
2.8b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite16.0ms (1.2%)

Algorithm

1×	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:

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

series15.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms (3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4924	307
1	4924	307

prune69.0ms (5.4%)

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: 2.3b

Counts

39 → 7

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

2.8b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.8%)

Algorithm

1×	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))

series10.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify34.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5390	181

prune56.0ms (4.4%)

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: 2.0b

Counts

27 → 11

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.8b	(+.f64 a (+.f64 d (+.f64 b c)))

rewrite20.0ms (1.5%)

Algorithm

1×	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)))

series24.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
10.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

simplify68.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4891	545
1	4891	545

prune74.0ms (5.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	7	2	9
Picked	1	0	1
Done	0	1	1
Total	57	6	63

Merged error: 0.4b

Counts

63 → 6

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.9%)

Algorithm

1×	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))

series15.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify22.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5281	551

prune48.0ms (3.8%)

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 (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms (0%)

sample668.0ms (52.3%)

Algorithm

1×

intervals

Results

297.0ms	8000×	pre	80	true
196.0ms	8000×	body	80	valid

Details

analyze2.0ms (0.2%)

sample29.0ms (2.3%)

simplify6.0ms (0.5%)

prune7.0ms (0.5%)

localize6.0ms (0.5%)

rewrite16.0ms (1.2%)

series15.0ms (1.2%)

simplify38.0ms (3%)

prune69.0ms (5.4%)

localize8.0ms (0.7%)

rewrite10.0ms (0.8%)

series10.0ms (0.8%)

simplify34.0ms (2.7%)

prune56.0ms (4.4%)

localize9.0ms (0.7%)

rewrite20.0ms (1.5%)

series24.0ms (1.9%)

simplify68.0ms (5.4%)

prune74.0ms (5.8%)

localize8.0ms (0.7%)

rewrite12.0ms (0.9%)

series15.0ms (1.1%)

simplify22.0ms (1.7%)

prune48.0ms (3.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample668.0ms (52.3%)

Profiling