Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

359×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.1b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 27.0) b)
0.3b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.4b	(* (* y 9.0) z)
4.8b	(* (* (* y 9.0) z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

5.0ms	(* (* a 27.0) b)
3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series131.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* a 27.0) b)
69.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
25.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	348	371
1	1755	309
2	5001	309

prune185.0ms

Filtered

81 candidates to 48 candidates (59.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Merged error: 0.3b

Counts

82 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.2b	(* (* a 27.0) b)
0.3b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
4.9b	(* t (* z y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

7.0ms	(* 9.0 (* t (* z y)))
7.0ms	(* (* a 27.0) b)
3.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
5.0ms	(* t (* z y))

series145.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* (* a 27.0) b)
73.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
25.0ms	(* t (* z y))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	320	367
1	1386	305
2	5002	305

prune204.0ms

Filtered

81 candidates to 48 candidates (59.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.3b

Counts

86 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.3b	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
5.0b	(* (* 9.0 t) (* z y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
5.0ms	(* (* a 27.0) b)
3.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
6.0ms	(* (* 9.0 t) (* z y))

series275.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
75.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
29.0ms	(* (* 9.0 t) (* z y))

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	377	495
1	1789	438
2	5001	438

prune180.0ms

Filtered

79 candidates to 48 candidates (60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.3b

Counts

84 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
0.3b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
4.9b	(* t (* z y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(* 9.0 (* t (* z y)))
4.0ms	(* 27.0 (* a b))
3.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
8.0ms	(* t (* z y))

series145.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 9.0 (* t (* z y)))
20.0ms	(* 27.0 (* a b))
73.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
26.0ms	(* t (* z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	306	366
1	1203	304
2	5002	304

prune170.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	81	5	86

Merged error: 0.3b

Counts

86 → 5

regimes560.0ms

Accuracy

79.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.8b

bsearch119.0ms

Steps

Iters	Range		Point
7	2.588128146881621e+78	2.8367420007352706e+80	2.6373343599119812e+78
7	-2.087946864465605e-48	-1.516702988500437e-50	-2.049955631027498e-48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	27
1	57	27

end0.0ms

sample816.0ms

Algorithm

intervals

Results

457.0ms

11019×

body

valid