Details

sample136.0ms

Algorithm

intervals

Results

49.0ms	811×	body	80	nan
13.0ms	204×	body	80	valid
8.0ms	21×	body	640	valid
5.0ms	6×	body	1280	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune5.0ms

Filtered

1 candidates to 0 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: 6.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
6.9b	(log (- 1.0 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series324.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- z 1.0) (log (- 1.0 y)))
146.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
70.0ms	(* (- x 1.0) (log y))
56.0ms	(log (- 1.0 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	621	970
1	2460	896
2	5001	883

prune962.0ms

Filtered

121 candidates to 91 candidates (24.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
57×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
31×	`add-exp-log`
27×	`flip3--` `flip--`
24×	`log-prod` `associate-*l/` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `frac-times` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp`
7×	`associate-*r/`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod` `distribute-lft-out--`
3×	`pow-prod-down` `*-commutative` `difference-of-squares`
2×	`log-pow`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 223

Calls

4 calls:

20.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
14.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (- x 1.0) (log y))

series371.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
76.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
164.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
69.0ms	(* (- x 1.0) (log y))

simplify55.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1332	2812
1	5001	2662

prune4.0s

Filtered

235 candidates to 163 candidates (30.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	235	6	241

Merged error: 0.0b

Counts

241 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series836.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt y) (cbrt y))
231.0ms	(cbrt y)
190.0ms	(cbrt y)
200.0ms	(cbrt y)

simplify84.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune590.0ms

Filtered

85 candidates to 64 candidates (24.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (sqrt (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
7.0b	(log (sqrt (- 1.0 y)))
7.0b	(log (sqrt (- 1.0 y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
20×	`sqrt-prod`
18×	`add-cube-cbrt`
15×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `associate-r` `associate-l` `log-pow`
8×	`add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`log-div` `flip3--` `sqrt-div` `associate-*l/` `flip--` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* (- z 1.0) (log (sqrt (- 1.0 y))))
7.0ms	(* (- x 1.0) (log y))
4.0ms	(log (sqrt (- 1.0 y)))
4.0ms	(log (sqrt (- 1.0 y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (- z 1.0) (log (sqrt (- 1.0 y))))
74.0ms	(* (- x 1.0) (log y))
208.0ms	(log (sqrt (- 1.0 y)))
167.0ms	(log (sqrt (- 1.0 y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	478	937
1	1745	854
2	5002	821

prune1.2s

Filtered

124 candidates to 83 candidates (33.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

regimes472.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	23803×	body	80	nan
385.0ms	5910×	body	80	valid
280.0ms	797×	body	640	valid
171.0ms	253×	body	1280	valid
140.0ms	649×	body	320	valid
58.0ms	432×	body	160	valid

Details

sample136.0ms

simplify132.0ms

prune5.0ms

localize13.0ms

rewrite34.0ms

series324.0ms

simplify78.0ms

prune962.0ms

localize19.0ms

rewrite63.0ms

series371.0ms

simplify55.0ms

prune4.0s

localize30.0ms

rewrite11.0ms

series836.0ms

simplify84.0ms

prune590.0ms

localize16.0ms

rewrite31.0ms

series558.0ms

simplify48.0ms

prune1.2s

regimes472.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

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