Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

381×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	26	6
1	81	5
2	248	4
3	613	4
4	1295	4
5	2524	4
6	3349	4
7	4389	4
8	4648	4
9	4648	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

7.0ms	(* d1 (- d4 d1))
1.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* d1 (- d4 d1))
53.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	213	430
1	888	283
2	5002	273

prune83.0ms

Filtered

62 candidates to 33 candidates (53.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.0b

Counts

64 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 d4) (* (- d1) d1))
0.0b	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `distribute-lft-neg-out` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+ (* d1 d4) (* (- d1) d1))
1.0ms	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* d1 d4) (* (- d1) d1))
49.0ms	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

simplify72.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	137	198
1	518	166
2	2557	151
3	5001	146

prune63.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- d4 d1))
0.0b	(sqrt (- d4 d1))
0.1b	(* d1 (sqrt (- d4 d1)))
0.2b	(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(sqrt (- d4 d1))
4.0ms	(sqrt (- d4 d1))
7.0ms	(* d1 (sqrt (- d4 d1)))
11.0ms	(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (- d4 d1))
65.0ms	(sqrt (- d4 d1))
54.0ms	(* d1 (sqrt (- d4 d1)))
36.0ms	(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	343	632
1	1432	552
2	5001	531

prune220.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0.0b

Counts

114 → 3

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample797.0ms

Algorithm

intervals

Results

487.0ms

11910×

body

valid