Details

sample101.0ms

Algorithm

intervals

Results

21.0ms	42×	body	1280	valid
20.0ms	43×	body	10240	exit
18.0ms	65×	body	640	valid
6.0ms	103×	body	80	valid
5.0ms	4×	body	2560	valid
5.0ms	28×	body	320	valid
2.0ms	65×	body	80	nan
2.0ms	17×	body	160	valid
2.0ms	9×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	4×	body	160	nan

simplify204.0ms

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	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.5b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite112.0ms

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:

10.0ms	(* y (exp z))
51.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
18.0ms	(log (+ (- 1.0 y) (* y (exp z))))
30.0ms	(+ (- 1.0 y) (* y (exp z)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
159.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))
40.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune252.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(* 0.5 (pow z 2))
2.6b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.1b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
11.0ms	(* 0.5 (pow z 2))
25.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
32.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series295.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
24.0ms	(* 0.5 (pow z 2))
84.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
120.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5001	715

prune300.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.5b	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
2.6b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.1b	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-r` `associate-/r/`
8×	`div-exp`
7×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `div-inv` `associate-/l*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `unpow-prod-down` `prod-exp` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `clear-num` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-flip` `distribute-lft-in` `pow-prod-down` `pow-exp` `inv-pow`

Counts

4 → 162

Calls

4 calls:

11.0ms	(* 0.5 (pow z 2))
15.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 0.5 (pow z 2))
163.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
254.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	709	2207
1	3614	2018
2	5001	1932

prune451.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
3.0b	(+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))
6.1b	(/ (+ (log 1.0) (+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))) t)
6.7b	(* y (* 0.5 (pow z 2)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
21×	`add-exp-log`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-cbrt-cube`
10×	`pow1` `prod-exp`
9×	`associate-r` `distribute-lft-out`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`unpow-prod-down` `log-pow` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r*`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `pow-prod-down` `clear-num` `sum-log` `div-inv`

Counts

4 → 95

Calls

4 calls:

11.0ms	(* 0.5 (pow z 2))
20.0ms	(+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))
128.0ms	(/ (+ (log 1.0) (+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))) t)
20.0ms	(* y (* 0.5 (pow z 2)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 0.5 (pow z 2))
91.0ms	(+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))
129.0ms	(/ (+ (log 1.0) (+ (* y (* 0.5 (pow z 2))) (* y (* 1.0 z)))) t)
33.0ms	(* y (* 0.5 (pow z 2)))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	407	887
1	1858	791
2	5002	780

prune287.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.1b

regimes549.0ms

Accuracy

74.9% (4.1b remaining)

Error of 8.7b against oracle of 4.6b and baseline of 21.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	27
1	41	27

end0.0ms

sample3.1s

Algorithm

intervals

Results

732.0ms	1432×	body	1280	valid
710.0ms	1518×	body	10240	exit
440.0ms	1568×	body	640	valid
209.0ms	3512×	body	80	valid
161.0ms	935×	body	320	valid
85.0ms	71×	body	2560	valid
85.0ms	2521×	body	80	nan
58.0ms	509×	body	160	valid
54.0ms	280×	body	640	nan
30.0ms	110×	body	1280	nan
23.0ms	193×	body	320	nan
8.0ms	101×	body	160	nan