Details

sample75.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
19.0ms	271×	body	80	nan

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17

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: 4.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.9b	(/ (* z (sqrt (+ t a))) t)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
27.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series342.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (sqrt (+ t a)))
17.0ms	(/ 2.0 (* t 3.0))
179.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune815.0ms

Filtered

191 candidates to 137 candidates (71.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	4	192

Merged error: 0.2b

Counts

192 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
1.5b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`prod-diff`
54×	`add-cube-cbrt`
48×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
16×	`sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
8×	`frac-times` `flip3--` `flip--`
6×	`pow1` `associate-r` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `associate-r/` `associate-/r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

20.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
6.0ms	(/ (sqrt (+ t a)) t)
5.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
62.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
212.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify115.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	894	2691
1	4023	2163
2	5002	2158

prune640.0ms

Filtered

193 candidates to 108 candidates (56.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	193	4	197

Merged error: 0.2b

Counts

197 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.8b	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series855.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt t)
169.0ms	(cbrt t)
170.0ms	(cbrt t)
341.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	144	371
1	345	322
2	1221	312
3	5001	306

prune339.0ms

Filtered

61 candidates to 54 candidates (88.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0.2b

Counts

65 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.5b	(log1p (expm1 (/ 2.0 (* t 3.0))))
3.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
7.9b	(/ (* z (sqrt (+ t a))) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
31×	`prod-diff`
30×	`associate--r+`
26×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
8×	`frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-r/` `div-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`sub-neg`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`log1p-udef` `flip3-+` `diff-log` `log1p-expm1` `flip-+`

Counts

4 → 125

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
1.0ms	(log1p (expm1 (/ 2.0 (* t 3.0))))
25.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series889.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 2.0 (* t 3.0))
518.0ms	(log1p (expm1 (/ 2.0 (* t 3.0))))
265.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
82.0ms	(/ (* z (sqrt (+ t a))) t)

simplify116.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	956	1905
1	4496	1574
2	5001	1521

prune864.0ms

Filtered

137 candidates to 104 candidates (75.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	138	3	141

Merged error: 0b

Counts

141 → 3

regimes254.0ms

Accuracy

40.3% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 2.2b

bsearch175.0ms

Steps

Iters	Range		Point
4	3.593244768711968e+194	7.115139393347775e+194	4.764986331278268e+194
6	1.4626759648144502e-85	1.2291578746437193e-84	2.1081699568645718e-85

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	83	68
1	87	68
2	87	68

end0.0ms

sample1.8s

Algorithm

intervals

Results

579.0ms	8000×	body	80	valid
557.0ms	7924×	body	80	nan