Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

386×

body

valid

simplify96.0ms

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

prune8.0ms

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)))

rewrite9.0ms

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)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* d1 (- d4 d1))
48.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify33.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

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

prune96.0ms

Filtered

62 candidates to 33 candidates (53.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.0b

Counts

64 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `diff-log`
5×	`prod-diff`
4×	`fma-def` `fma-neg` `sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- (* d1 d2) (* d1 d3))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series127.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* d1 d2) (* d1 d3))
35.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
53.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	299	485
1	1251	403
2	5001	388

prune168.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.2b	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
0.8b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
0.8b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `prod-diff`
33×	`add-cube-cbrt`
25×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-log-exp`
8×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-r` `add-cbrt-cube` `flip-+`
4×	`expm1-log1p-u` `frac-times` `fma-def` `sqrt-div` `associate-l` `log1p-expm1-u`
3×	`sub-neg` `associate-+l+` `flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
19.0ms	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
8.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
5.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series3.7s

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.3s	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
203.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
198.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify105.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	695	2778
1	3458	2085
2	5001	2066

prune308.0ms

Filtered

140 candidates to 87 candidates (62.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Merged error: 0.0b

Counts

143 → 3

regimes91.0ms

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

sample712.0ms

Algorithm

intervals

Results

409.0ms

11863×

body

valid