Details

sample113.0ms

Algorithm

intervals

Results

27.0ms	47×	body	1280	valid
20.0ms	58×	body	640	valid
12.0ms	7×	body	2560	valid
7.0ms	104×	body	80	valid
5.0ms	22×	body	320	valid
4.0ms	83×	body	80	nan
3.0ms	58×	body	80	overflowed
3.0ms	11×	body	640	nan
2.0ms	18×	body	160	valid
2.0ms	5×	body	1280	nan
1.0ms	7×	body	320	nan
1.0ms	5×	body	160	nan

simplify211.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.5b

Counts

2 → 1

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)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
3.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite24.0ms

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:

4.0ms	(* y (exp z))
7.0ms	(/ (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)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
16.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

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

prune164.0ms

Filtered

92 candidates to 68 candidates (26.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 4.8b

Counts

93 → 7

localize22.0ms

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))
2.6b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite30.0ms

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))
4.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
11.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series75.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
7.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
21.0ms	(/ (+ (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

prune224.0ms

Filtered

89 candidates to 66 candidates (25.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	82	14	96

Merged error: 4.7b

Counts

96 → 14

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.7b	(/ (* z y) t)

rewrite14.0ms

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:

9.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series21.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (5.0ms)

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

prune115.0ms

Filtered

43 candidates to 29 candidates (32.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	42	15	57

Merged error: 3.8b

Counts

57 → 15

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
0.8b	(/ 1 (/ t (* z y)))
3.9b	(/ t (* z y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

12.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
6.0ms	(/ 1 (/ t (* z y)))
4.0ms	(/ t (* z y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
6.0ms	(/ 1 (/ t (* z y)))
5.0ms	(/ t (* z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	630
1	1604	544
2	5001	494

prune88.0ms

Filtered

102 candidates to 54 candidates (47.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	99	18	117

Merged error: 3.8b

Counts

117 → 18

regimes1.2s

Accuracy

66.9% (4.2b remaining)

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

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	21
1	34	21

end0.0ms

sample2.9s

Algorithm

intervals

Results

810.0ms	1379×	body	1280	valid
524.0ms	1567×	body	640	valid
251.0ms	3587×	body	80	valid
199.0ms	939×	body	320	valid
119.0ms	2530×	body	80	nan
102.0ms	75×	body	2560	valid
81.0ms	1512×	body	80	overflowed
65.0ms	480×	body	160	valid
56.0ms	233×	body	640	nan
36.0ms	105×	body	1280	nan
26.0ms	161×	body	320	nan
13.0ms	124×	body	160	nan

Details

sample113.0ms

simplify211.0ms

prune4.0ms

localize10.0ms

rewrite24.0ms

series66.0ms

simplify49.0ms

prune164.0ms

localize22.0ms

rewrite30.0ms

series75.0ms

simplify50.0ms

prune224.0ms

localize9.0ms

rewrite14.0ms

series21.0ms

simplify79.0ms

prune115.0ms

localize11.0ms

rewrite24.0ms

series31.0ms

simplify41.0ms

prune88.0ms

regimes1.2s

bsearch2.0ms

simplify1.0ms

end0.0ms

sample2.9s

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