Details

sample107.0ms

Algorithm

intervals

Results

23.0ms	43×	body	10240	exit
21.0ms	40×	body	1280	valid
17.0ms	60×	body	640	valid
11.0ms	8×	body	2560	valid
6.0ms	104×	body	80	valid
5.0ms	32×	body	320	valid
3.0ms	87×	body	80	nan
2.0ms	14×	body	160	valid
1.0ms	7×	body	640	nan
0.0ms	2×	body	1280	nan
0.0ms	3×	body	320	nan
0.0ms	1×	body	160	nan

simplify206.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

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)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
2.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite26.0ms

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

series277.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (exp z))
145.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
71.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

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

prune268.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
3.6b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite26.0ms

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:

4.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
8.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series381.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
119.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
81.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
116.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5001	876

prune327.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.9b	(/ (* 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)))
5.0ms	(/ (* z y) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- 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

prune175.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
5.4b	(* z (/ y t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`associate-l`
2×	`diff-log` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip--` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

10.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
6.0ms	(* z (/ y t))

series98.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
18.0ms	(* z (/ y t))

simplify101.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	272	334
1	1124	304
2	4781	304
3	5001	304

prune120.0ms

Filtered

54 candidates to 36 candidates (66.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 5.4b

regimes801.0ms

Accuracy

66.6% (4.3b remaining)

Error of 8.1b against oracle of 3.9b and baseline of 16.7b

bsearch74.0ms

Steps

Iters	Range		Point
8	-39718752968.12495	-2958833.9929669728	-3015133.8646476325

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	29
1	36	29

end0.0ms

sample3.1s

Algorithm

intervals

Results

777.0ms	1573×	body	10240	exit
732.0ms	1401×	body	1280	valid
454.0ms	1534×	body	640	valid
216.0ms	3560×	body	80	valid
172.0ms	952×	body	320	valid
123.0ms	99×	body	2560	valid
92.0ms	2446×	body	80	nan
52.0ms	262×	body	640	nan
52.0ms	479×	body	160	valid
31.0ms	106×	body	1280	nan
24.0ms	175×	body	320	nan
10.0ms	124×	body	160	nan