Details

sample71.0ms

Algorithm

intervals

Results

20.0ms	259×	body	80	nan
18.0ms	256×	body	80	valid

simplify39.0ms

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: 3.8b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.7b	(/ (* z (sqrt (+ t a))) t)

rewrite54.0ms

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

series341.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
178.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms	(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune906.0ms

Filtered

191 candidates to 137 candidates (71.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	3	192

Merged error: 0.5b

Counts

192 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.1b	(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))))))

series885.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt t)
182.0ms	(cbrt t)
178.0ms	(cbrt t)
336.0ms	(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 (34.0ms)

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

prune395.0ms

Filtered

61 candidates to 54 candidates (88.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.5b

Counts

64 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
3.7b	(/ (* z (sqrt (+ t a))) t)
40.5b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
191×	`prod-diff`
190×	`associate--r+`
180×	`cbrt-prod`
111×	`add-sqr-sqrt` `add-cube-cbrt`
95×	`distribute-rgt-in` `distribute-lft-in`
66×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
46×	`distribute-lft-out`
22×	`div-inv`
20×	`frac-sub`
14×	`add-exp-log` `add-cbrt-cube`
9×	`cube-mult` `flip3--` `unpow3` `flip--` `sqr-pow`
8×	`frac-times`
7×	`cube-div` `cbrt-div` `fma-neg`
6×	`associate-*r/` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `associate-/r` `flip-+` `log1p-expm1-u` `associate-/l`
3×	`sub-neg`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 312

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
44.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)
4.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series301.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
181.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
86.0ms	(/ (* z (sqrt (+ t a))) t)
17.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1683	5517
1	5001	4999

prune1.3s

Filtered

324 candidates to 170 candidates (52.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	323	1	324
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	324	3	327

Merged error: 0.0b

Counts

327 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
1.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
3.7b	(/ (* z (sqrt (+ t a))) t)
40.0b	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

243×	`unpow-prod-down`
210×	`*-un-lft-identity`
199×	`prod-diff`
198×	`associate--r+`
114×	`add-sqr-sqrt` `add-cube-cbrt`
99×	`distribute-rgt-in` `distribute-lft-in`
66×	`times-frac`
63×	`cube-prod`
48×	`distribute-lft-out`
22×	`div-inv`
21×	`add-exp-log`
18×	`sqr-pow`
14×	`add-cbrt-cube`
9×	`cube-mult` `unpow3`
8×	`pow-exp` `frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`div-exp` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-r/` `associate-/r` `log1p-expm1-u` `associate-/l*`
3×	`sub-neg` `pow-unpow` `prod-exp`
2×	`pow-to-exp` `frac-2neg` `sqrt-div` `associate-*l/` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`pow-pow` `flip3-+` `unpow1/3` `diff-log` `flip-+`

Counts

4 → 323

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
43.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
8.0ms	(/ (* z (sqrt (+ t a))) t)
7.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series534.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 2.0 (* t 3.0))
194.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
83.0ms	(/ (* z (sqrt (+ t a))) t)
235.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify86.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1689	5787
1	5002	4904

prune1.4s

Filtered

335 candidates to 172 candidates (51.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	335	0	335
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	335	3	338

Merged error: 0.0b

Counts

338 → 3

regimes267.0ms

Accuracy

0% (1.8b remaining)

Error of 2.0b against oracle of 0.2b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	22
1	44	22
2	44	22

end0.0ms

sample1.8s

Algorithm

intervals

Results

595.0ms	8000×	body	80	valid
567.0ms	8006×	body	80	nan