Details

sample98.0ms

Algorithm

intervals

Results

23.0ms	48×	body	1280	valid
21.0ms	42×	body	10240	exit
12.0ms	43×	body	640	valid
7.0ms	125×	body	80	valid
7.0ms	4×	body	2560	valid
3.0ms	21×	body	320	valid
3.0ms	81×	body	80	nan
2.0ms	16×	body	160	valid
2.0ms	9×	body	640	nan
1.0ms	8×	body	320	nan
1.0ms	3×	body	1280	nan
0.0ms	3×	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

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: 25.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite30.0ms

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:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
8.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
151.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

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

prune255.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 3.6b

Counts

93 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.9b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
3.8b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

10.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
4.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
69.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
117.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
84.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5002	876

prune288.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 3.6b

Counts

94 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
2.9b	(/ (* z y) t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune120.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	43	11	54

Merged error: 3.0b

Counts

54 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* z y) t)
20.2b	(cbrt (/ (* z y) t))
20.2b	(cbrt (/ (* z y) t))
20.2b	(cbrt (/ (* z y) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 69

Calls

4 calls:

5.0ms	(/ (* z y) t)
3.0ms	(cbrt (/ (* z y) t))
6.0ms	(cbrt (/ (* z y) t))
3.0ms	(cbrt (/ (* z y) t))

series267.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z y) t)
84.0ms	(cbrt (/ (* z y) t))
84.0ms	(cbrt (/ (* z y) t))
79.0ms	(cbrt (/ (* z y) t))

simplify77.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	181	439
1	697	391
2	3119	364
3	5003	361

prune272.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	80	12	92

Merged error: 3.0b

Counts

92 → 12

regimes472.0ms

Accuracy

63.5% (4.9b remaining)

Error of 8.7b against oracle of 3.8b and baseline of 17.2b

bsearch72.0ms

Steps

Iters	Range		Point
8	-1.7954512872228914e-13	-2.0554488211069025e-17	-7.245223885126e-14

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	25
1	40	25

end0.0ms

sample3.1s

Algorithm

intervals

Results

791.0ms	1471×	body	1280	valid
737.0ms	1489×	body	10240	exit
446.0ms	1540×	body	640	valid
214.0ms	3570×	body	80	valid
166.0ms	902×	body	320	valid
99.0ms	77×	body	2560	valid
93.0ms	2602×	body	80	nan
52.0ms	470×	body	160	valid
50.0ms	258×	body	640	nan
33.0ms	119×	body	1280	nan
24.0ms	187×	body	320	nan
8.0ms	97×	body	160	nan