Details

sample94.0ms

Algorithm

intervals

Results

31.0ms	48×	body	1280	valid
16.0ms	46×	body	640	valid
9.0ms	122×	body	80	valid
6.0ms	26×	body	320	valid
5.0ms	107×	body	80	nan
3.0ms	53×	body	80	overflowed
2.0ms	14×	body	160	valid
2.0ms	1×	body	2560	valid
2.0ms	7×	body	640	nan
1.0ms	2×	body	1280	nan
0.0ms	4×	body	160	nan
0.0ms	1×	body	320	nan

simplify218.0ms

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	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	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: 23.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.9b	(log (+ (- 1.0 y) (* y (exp z))))
4.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
69.0ms	(log (+ (- 1.0 y) (* y (exp z))))
38.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify242.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune257.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 3.5b

Counts

93 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
1.7b	(log (+ 1.0 (* (- (exp z) 1) y)))
3.8b	(- (exp z) 1)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`flip3--` `flip3-+` `difference-of-sqr-1` `div-sub` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `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 → 87

Calls

4 calls:

8.0ms	(* (- (exp z) 1) y)
5.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
3.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
5.0ms	(- (exp z) 1)

series234.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- (exp z) 1) y)
120.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
59.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
14.0ms	(- (exp z) 1)

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	446	788
1	1782	732
2	5001	724

prune225.0ms

Filtered

99 candidates to 70 candidates (70.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 3.5b

Counts

105 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.3b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

8.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
10.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series333.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
87.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
123.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	376	855
1	1556	795
2	5001	795

prune225.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	71	10	81

Merged error: 3.4b

Counts

81 → 10

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.4b	(/ (* z y) t)

rewrite16.0ms

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)

series107.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
22.0ms	(/ (* z y) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (7.0ms)

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

prune86.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	40	13	53

Merged error: 3.2b

Counts

53 → 13

regimes499.0ms

Accuracy

57.4% (4.9b remaining)

Error of 8.6b against oracle of 3.7b and baseline of 15.2b

bsearch167.0ms

Steps

Iters	Range		Point
8	1.739131311315145e-105	4.721747832972126e-101	4.9542467359954034e-104
9	-7.317529374568643e-07	-6.816608716066292e-13	-7.154227453837338e-10

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	32
1	51	32

end0.0ms

sample2.9s

Algorithm

intervals

Results

932.0ms	1527×	body	1280	valid
540.0ms	1533×	body	640	valid
271.0ms	3507×	body	80	valid
201.0ms	887×	body	320	valid
132.0ms	2552×	body	80	nan
120.0ms	86×	body	2560	valid
100.0ms	1689×	body	80	overflowed
78.0ms	290×	body	640	nan
73.0ms	488×	body	160	valid
43.0ms	114×	body	1280	nan
33.0ms	188×	body	320	nan
13.0ms	91×	body	160	nan

Details

sample94.0ms

simplify218.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series283.0ms

simplify242.0ms

prune257.0ms

localize12.0ms

rewrite22.0ms

series234.0ms

simplify53.0ms

prune225.0ms

localize14.0ms

rewrite26.0ms

series333.0ms

simplify55.0ms

prune225.0ms

localize11.0ms

rewrite16.0ms

series107.0ms

simplify83.0ms

prune86.0ms

regimes499.0ms

bsearch167.0ms

simplify2.0ms

end0.0ms

sample2.9s

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