Details

sample99.0ms

Algorithm

intervals

Results

42.0ms

494×

body

valid

simplify287.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune22.0ms

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: 0.3b

Counts

2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.5b	(* j (* 27.0 k))
3.9b	(* y (* z t))
4.1b	(* x (* 18.0 (* y (* z t))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
5.0ms	(* j (* 27.0 k))
5.0ms	(* y (* z t))
9.0ms	(* x (* 18.0 (* y (* z t))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
4.0ms	(* j (* 27.0 k))
6.0ms	(* y (* z t))
12.0ms	(* x (* 18.0 (* y (* z t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5545	670

prune146.0ms

Filtered

47 candidates to 93 candidates (-97.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.3b

Counts

95 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
0.5b	(* j (* 27.0 k))
3.9b	(* y (* z t))
4.2b	(* (* x 18.0) (* y (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`associate-+r+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
5.0ms	(* j (* 27.0 k))
4.0ms	(* y (* z t))
10.0ms	(* (* x 18.0) (* y (* z t)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms	(* j (* 27.0 k))
6.0ms	(* y (* z t))
11.0ms	(* (* x 18.0) (* y (* z t)))

simplify32.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5008	832

prune145.0ms

Filtered

47 candidates to 89 candidates (-89.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.3b

Counts

97 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (* 18.0 (* y (* z t))))
11.2b	(cbrt (* j (* 27.0 k)))
11.2b	(cbrt (* j (* 27.0 k)))
11.2b	(cbrt (* j (* 27.0 k)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 51

Calls

4 calls:

9.0ms	(* x (* 18.0 (* y (* z t))))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (* 18.0 (* y (* z t))))
17.0ms	(cbrt (* j (* 27.0 k)))
17.0ms	(cbrt (* j (* 27.0 k)))
19.0ms	(cbrt (* j (* 27.0 k)))

simplify45.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4950	499
1	4950	499

prune162.0ms

Filtered

39 candidates to 63 candidates (-61.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	62	10	72

Merged error: 0.3b

Counts

72 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.7b	(* (* j 27.0) k)
3.9b	(* y (* z t))
4.1b	(* x (* 18.0 (* y (* z t))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
5.0ms	(* (* j 27.0) k)
5.0ms	(* y (* z t))
11.0ms	(* x (* 18.0 (* y (* z t))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
3.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
11.0ms	(* x (* 18.0 (* y (* z t))))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5019	671

prune78.0ms

Filtered

47 candidates to 93 candidates (-97.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	93	10	103

Merged error: 0.3b

Counts

103 → 10

regimes2.8s

Accuracy

86.4% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	270	144
1	270	144

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s

16223×

body

valid

Details

sample99.0ms

simplify287.0ms

prune22.0ms

localize21.0ms

rewrite28.0ms

series27.0ms

simplify55.0ms

prune146.0ms

localize21.0ms

rewrite28.0ms

series48.0ms

simplify32.0ms

prune145.0ms

localize25.0ms

rewrite21.0ms

series65.0ms

simplify45.0ms

prune162.0ms

localize20.0ms

rewrite30.0ms

series27.0ms

simplify40.0ms

prune78.0ms

regimes2.8s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample3.0s

Profiling