Details

sample46.0ms

Algorithm

intervals

Results

17.0ms

350×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	371	17
1	371	17

prune14.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
3.0ms	(* 9.0 (* z t))
3.0ms	(* a (* 27.0 b))
6.0ms	(* y (* 9.0 (* z t)))

simplify27.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5517	779

prune141.0ms

Filtered

48 candidates to 84 candidates (-75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
0.2b	(* a (* 27.0 b))
5.1b	(* (* y 9.0) (* z t))

rewrite22.0ms

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-l`
2×	`sub-neg` `associate-+r+` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

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

series64.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
35.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
3.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) (* z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5055	927

prune103.0ms

Filtered

46 candidates to 79 candidates (-71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
0.2b	(* a (* 27.0 b))
0.4b	(* (* 9.0 z) t)
5.0b	(* y (* (* 9.0 z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
3.0ms	(* a (* 27.0 b))
3.0ms	(* (* 9.0 z) t)
8.0ms	(* y (* (* 9.0 z) t))

simplify28.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5682	782

prune100.0ms

Filtered

48 candidates to 84 candidates (-75.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
5.0b	(* y (* 9.0 (* z t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
6.0ms	(* y (* 9.0 (* z t)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
21.0ms	(cbrt a)
23.0ms	(cbrt a)
6.0ms	(* y (* 9.0 (* z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5329	329

prune64.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

regimes1.6s

Accuracy

80.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	63
1	50	63

end0.0ms

sample1.3s

Algorithm

intervals

Results

571.0ms

11031×

body

valid

Details

sample46.0ms

simplify9.0ms

prune14.0ms

localize12.0ms

rewrite23.0ms

series48.0ms

simplify27.0ms

prune141.0ms

localize12.0ms

rewrite22.0ms

series64.0ms

simplify45.0ms

prune103.0ms

localize12.0ms

rewrite23.0ms

series48.0ms

simplify28.0ms

prune100.0ms

localize17.0ms

rewrite11.0ms

series71.0ms

simplify42.0ms

prune64.0ms

regimes1.6s

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.3s

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