Details

sample89.0ms

Algorithm

intervals

Results

24.0ms	42×	body	1280	valid
13.0ms	43×	body	640	valid
8.0ms	124×	body	80	valid
6.0ms	32×	body	320	valid
4.0ms	82×	body	80	nan
2.0ms	45×	body	80	overflowed
2.0ms	1×	body	2560	valid
2.0ms	15×	body	160	valid
1.0ms	6×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan
0.0ms	1×	body	1280	nan

simplify208.0ms

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

prune5.0ms

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 3 expressions with local error:

0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow1` `add-log-exp`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `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` `clear-num` `div-inv`

Counts

3 → 62

Calls

3 calls:

10.0ms	(/ (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)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
70.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	403	724
1	1433	668
2	5001	661

prune314.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 3.1b

Counts

72 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.3b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (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:

7.0ms	(* (- (exp z) 1) y)
5.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series226.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- (exp z) 1) y)
117.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
55.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
18.0ms	(- (exp z) 1)

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

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

prune385.0ms

Filtered

99 candidates to 70 candidates (70.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	99	5	104

Merged error: 3.1b

Counts

104 → 5

localize17.0ms

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))
3.7b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite25.0ms

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:

7.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
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)

series392.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
117.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

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

prune465.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	80	14	94

Merged error: 3.0b

Counts

94 → 14

localize10.0ms

Local error

Found 2 expressions with local error:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
20.0ms	(/ (* z y) t)

simplify86.0ms

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

prune158.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 2.3b

Counts

57 → 11

regimes981.0ms

Accuracy

63.2% (4.9b remaining)

Error of 8.8b against oracle of 3.9b and baseline of 17.2b

bsearch143.0ms

Steps

Iters	Range		Point
6	3.24830799667496e-70	2.2972048513899164e-69	5.3856609536610104e-70
8	-165015.5800116681	-4.115764337816432	-15.699525740504232

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	28
1	52	28

end0.0ms

sample2.9s

Algorithm

intervals

Results

859.0ms	1456×	body	1280	valid
521.0ms	1576×	body	640	valid
243.0ms	3552×	body	80	valid
186.0ms	903×	body	320	valid
116.0ms	87×	body	2560	valid
115.0ms	2522×	body	80	nan
79.0ms	1504×	body	80	overflowed
61.0ms	452×	body	160	valid
57.0ms	252×	body	640	nan
49.0ms	144×	body	1280	nan
26.0ms	166×	body	320	nan
10.0ms	99×	body	160	nan

Details

sample89.0ms

simplify208.0ms

prune5.0ms

localize10.0ms

rewrite23.0ms

series247.0ms

simplify39.0ms

prune314.0ms

localize11.0ms

rewrite22.0ms

series226.0ms

simplify49.0ms

prune385.0ms

localize17.0ms

rewrite25.0ms

series392.0ms

simplify57.0ms

prune465.0ms

localize10.0ms

rewrite15.0ms

series104.0ms

simplify86.0ms

prune158.0ms

regimes981.0ms

bsearch143.0ms

simplify2.0ms

end0.0ms

sample2.9s

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