Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

363×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune11.0ms

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: 4.1b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
6.8b	(* (* (* y 9.0) z) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
8.0ms	(* (* (* y 9.0) z) t)

series289.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune242.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
5.1b	(* (* y 9.0) (* z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--` `fma-udef`

Counts

3 → 50

Calls

3 calls:

4.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
8.0ms	(* (* y 9.0) (* z t))

series274.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
29.0ms	(* (* y 9.0) (* z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	273	387
1	1166	328
2	5002	327

prune161.0ms

Filtered

59 candidates to 39 candidates (66.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.3b	(* 9.0 (* z t))
5.5b	(* y (* 9.0 (* z t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
5.0ms	(* 9.0 (* z t))
8.0ms	(* y (* 9.0 (* z t)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
175.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
32.0ms	(* y (* 9.0 (* z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	295	454
1	1235	386
2	5001	386

prune231.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
5.5b	(* y (* (* 9.0 z) t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
5.0ms	(* (* 9.0 z) t)
7.0ms	(* y (* (* 9.0 z) t))

series309.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
174.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
19.0ms	(* (* 9.0 z) t)
34.0ms	(* y (* (* 9.0 z) t))

simplify67.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	308	456
1	1441	388
2	5001	388

prune206.0ms

Filtered

81 candidates to 54 candidates (66.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

regimes902.0ms

Accuracy

70.2% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.8b

bsearch252.0ms

Steps

Iters	Range		Point
7	7.427927044526245e+257	4.955857962239776e+259	4.882996798129567e+259
8	9.803007849652339e-73	5.26121115282754e-68	5.736939015950812e-71
9	-30645.877495533987	-3.45006592246628e-05	-6.805956279059604

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	29
1	55	29

end0.0ms

sample997.0ms

Algorithm

intervals

Results

595.0ms

11081×

body

valid