Details

sample128.0ms

Algorithm

intervals

Results

54.0ms	865×	body	80	nan
13.0ms	192×	body	80	valid
11.0ms	24×	body	640	valid
8.0ms	10×	body	1280	valid
5.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify135.0ms

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

prune3.0ms

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: 6.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.2b	(* (- x 1.0) (log y))
5.7b	(log (- 1.0 y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 94

Calls

4 calls:

11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- z 1.0) (log (- 1.0 y)))
10.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
41.0ms	(* (- z 1.0) (log (- 1.0 y)))
60.0ms	(* (- x 1.0) (log y))
42.0ms	(log (- 1.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	498	803
1	1805	714
2	5001	701

prune277.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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)))))))
0.0b	(* 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))))))
0.2b	(* (- x 1.0) (log y))

rewrite65.0ms

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:

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)))))))
24.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms	(* (- 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))

series332.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
53.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
63.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
61.0ms	(* (- x 1.0) (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1332	2812
1	5001	2662

prune825.0ms

Filtered

235 candidates to 163 candidates (69.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	233	8	241

Merged error: 0.0b

Counts

241 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- z 1.0))
3.0ms	(cbrt (- z 1.0))
6.0ms	(cbrt (- z 1.0))
11.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- z 1.0))
102.0ms	(cbrt (- z 1.0))
97.0ms	(cbrt (- z 1.0))
120.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	838
1	1230	798
2	5002	733

prune509.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
0.0b	(* 0.5 (* z (pow y 2)))
0.2b	(* (- x 1.0) (log y))
6.9b	(* z (pow y 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`add-exp-log`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`associate-r` `add-cbrt-cube` `add-log-exp`
12×	`log-prod`
11×	`associate-l` `prod-exp`
9×	`pow1`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*l/`
5×	`flip3--` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `frac-add` `sum-log`
3×	`*-commutative`
2×	`pow-to-exp` `associate-+r+` `diff-log` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

13.0ms	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
6.0ms	(* 0.5 (* z (pow y 2)))
7.0ms	(* (- x 1.0) (log y))
5.0ms	(* z (pow y 2))

series204.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
37.0ms	(* 0.5 (* z (pow y 2)))
53.0ms	(* (- x 1.0) (log y))
32.0ms	(* z (pow y 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	587	1023
1	2622	947
2	5003	942

prune281.0ms

Filtered

113 candidates to 75 candidates (66.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

regimes251.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	24504×	body	80	nan
405.0ms	5874×	body	80	valid
287.0ms	775×	body	640	valid
180.0ms	260×	body	1280	valid
161.0ms	708×	body	320	valid
60.0ms	407×	body	160	valid

Details

sample128.0ms

simplify135.0ms

prune3.0ms

localize13.0ms

rewrite35.0ms

series300.0ms

simplify49.0ms

prune277.0ms

localize19.0ms

rewrite65.0ms

series332.0ms

simplify58.0ms

prune825.0ms

localize23.0ms

rewrite26.0ms

series415.0ms

simplify44.0ms

prune509.0ms

localize17.0ms

rewrite34.0ms

series204.0ms

simplify73.0ms

prune281.0ms

regimes251.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

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