Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

368×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune13.0ms

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: 3.9b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
6.7b	(* (* (* y 9.0) z) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series214.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* y 9.0) z)
21.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune222.0ms

Filtered

96 candidates to 61 candidates (63.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.4b	(* (* a 27.0) b)
5.8b	(* (* y 9.0) (* z t))

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`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `diff-log` `associate-l` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
9.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
5.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) (* z t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
148.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	421	563
1	2047	495
2	5002	493

prune225.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
5.8b	(* (* y 9.0) (* z t))

rewrite16.0ms

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))))
10.0ms	(* (* y 9.0) (* z t))

series264.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
166.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
25.0ms	(* (* y 9.0) (* z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (46.0ms)

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

prune162.0ms

Filtered

59 candidates to 40 candidates (67.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
6.0b	(* y (* 9.0 (* z t)))

rewrite18.0ms

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

series276.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
17.0ms	(* 9.0 (* z t))
156.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
31.0ms	(* y (* 9.0 (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune194.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

regimes542.0ms

Accuracy

64.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.8b

bsearch130.0ms

Steps

Iters	Range		Point
9	5.169944487615817e-116	3.942126246748409e-110	1.7703922976991347e-113
6	-2.236319666507847e-165	-3.9986198098165556e-166	-1.4881373191208173e-165

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22

end0.0ms

sample854.0ms

Algorithm

intervals

Results

475.0ms

11052×

body

valid