Details

sample121.0ms

Algorithm

intervals

Results

40.0ms	58×	body	1280	valid
18.0ms	50×	body	640	valid
8.0ms	109×	body	80	valid
6.0ms	52×	body	80	overflowed
6.0ms	27×	body	320	valid
4.0ms	72×	body	80	nan
4.0ms	2×	body	2560	valid
1.0ms	11×	body	160	valid
1.0ms	4×	body	640	nan
1.0ms	6×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	3×	body	160	nan

simplify234.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	7

prune9.0ms

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: 24.6b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.8b	(log (+ (- 1.0 y) (* y (exp z))))
3.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

4.0ms	(* y (exp z))
7.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
61.0ms	(log (+ (- 1.0 y) (* y (exp z))))
38.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	455	792
1	1756	732
2	5001	725

prune407.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 7.9b

Counts

93 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.5b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
13.1b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
8.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt y)
96.0ms	(cbrt y)
81.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
55.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	293	601
1	1052	526
2	5001	488

prune376.0ms

Filtered

63 candidates to 50 candidates (79.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	57	12	69

Merged error: 7.9b

Counts

69 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
2.0b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z)))))
13.6b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))
8.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z)))))
9.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (cbrt y))
126.0ms	(cbrt (cbrt y))
84.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z)))))
57.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (exp z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	309	986
1	1092	868
2	5002	794

prune459.0ms

Filtered

69 candidates to 58 candidates (84.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	70	11	81

Merged error: 7.9b

Counts

81 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))
2.7b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z)))))
12.4b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
9.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z)))))
14.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (cbrt y))
166.0ms	(cbrt (* (cbrt y) (cbrt y)))
88.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z)))))
55.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (* (* (cbrt (cbrt y)) (* (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))))) (cbrt (cbrt y))) (exp z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	348	1290
1	1198	1152
2	5001	1143

prune415.0ms

Filtered

64 candidates to 53 candidates (82.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	64	11	75

Merged error: 7.9b

Counts

75 → 11

regimes1.0s

Accuracy

81.9% (2.1b remaining)

Error of 11.2b against oracle of 9.0b and baseline of 20.9b

bsearch24.0ms

Steps

Iters	Range		Point
2	-5.449012348541443	-4.929334405518411	-4.99429414839629

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	36
1	47	36

end0.0ms

sample2.9s

Algorithm

intervals

Results

828.0ms	1420×	body	1280	valid
532.0ms	1582×	body	640	valid
248.0ms	3553×	body	80	valid
204.0ms	922×	body	320	valid
108.0ms	78×	body	2560	valid
106.0ms	2355×	body	80	nan
80.0ms	1545×	body	80	overflowed
67.0ms	264×	body	640	nan
61.0ms	463×	body	160	valid
45.0ms	126×	body	1280	nan
33.0ms	193×	body	320	nan
11.0ms	109×	body	160	nan

Details

sample121.0ms

simplify234.0ms

prune9.0ms

localize16.0ms

rewrite25.0ms

series276.0ms

simplify49.0ms

prune407.0ms

localize14.0ms

rewrite17.0ms

series327.0ms

simplify42.0ms

prune376.0ms

localize18.0ms

rewrite21.0ms

series399.0ms

simplify40.0ms

prune459.0ms

localize25.0ms

rewrite30.0ms

series448.0ms

simplify44.0ms

prune415.0ms

regimes1.0s

bsearch24.0ms

simplify1.0ms

end0.0ms

sample2.9s

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