Details

sample121.0ms

Algorithm

intervals

Results

49.0ms	814×	body	80	nan
12.0ms	178×	body	80	valid
11.0ms	25×	body	640	valid
6.0ms	8×	body	1280	valid
6.0ms	26×	body	320	valid
3.0ms	20×	body	160	valid

simplify128.0ms

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: 6.8b

Counts

2 → 1

localize12.0ms

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)))) t)
0.1b	(* (- x 1.0) (log y))
6.6b	(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:

10.0ms	(* (- z 1.0) (log (- 1.0 y)))
12.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- z 1.0) (log (- 1.0 y)))
156.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
54.0ms	(* (- x 1.0) (log y))
45.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

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

prune260.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 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	(+ (* (- 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))

rewrite69.0ms

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:

13.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
21.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- 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))

series332.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
49.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
154.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
60.0ms	(* (- 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

prune795.0ms

Filtered

235 candidates to 163 candidates (69.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	234	6	240

Merged error: 0b

Counts

240 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.6b	(log (- 1.0 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`associate-+r+`
8×	`associate-*l/`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

15.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(log (- 1.0 y))

series552.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
175.0ms	(cbrt y)
172.0ms	(cbrt y)
42.0ms	(log (- 1.0 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	567	840
1	2162	721
2	5001	697

prune381.0ms

Filtered

102 candidates to 93 candidates (91.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
0.7b	(cbrt y)
5.0b	(pow y 1/3)
6.6b	(log (- 1.0 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
15×	`cbrt-prod`
14×	`associate-+r+`
9×	`unpow-prod-down`
8×	`associate-*l/`
6×	`pow1` `add-exp-log` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
3×	`pow-unpow` `sqr-pow`
2×	`log-div`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

19.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
4.0ms	(log (- 1.0 y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
179.0ms	(cbrt y)
166.0ms	(pow y 1/3)
41.0ms	(log (- 1.0 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	674	881
1	2560	772
2	5002	716

prune438.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0b

Counts

117 → 6

regimes196.0ms

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

sample3.5s

Algorithm

intervals

Results

1.5s	24202×	body	80	nan
406.0ms	5840×	body	80	valid
300.0ms	833×	body	640	valid
182.0ms	265×	body	1280	valid
150.0ms	665×	body	320	valid
68.0ms	425×	body	160	valid

Details

sample121.0ms

simplify128.0ms

prune3.0ms

localize12.0ms

rewrite35.0ms

series300.0ms

simplify48.0ms

prune260.0ms

localize19.0ms

rewrite69.0ms

series332.0ms

simplify58.0ms

prune795.0ms

localize17.0ms

rewrite29.0ms

series552.0ms

simplify61.0ms

prune381.0ms

localize24.0ms

rewrite31.0ms

series608.0ms

simplify79.0ms

prune438.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling