Details

sample116.0ms

Algorithm

intervals

Results

44.0ms	814×	body	80	nan
18.0ms	299×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
8.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

677.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
77.0ms	(+ (fma x (log y) z) (+ t a))
359.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
56.0ms	(fma x (log y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune279.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma x (log y) z)
0.2b	(* (log c) (- b 0.5))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-log-exp`
9×	`sum-log`
7×	`pow1`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `fma-udef`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

30.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
8.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma x (log y) z)
12.0ms	(* (log c) (- b 0.5))

series632.0ms

Counts

4 → 12

Calls

4 calls:

401.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
85.0ms	(+ (fma x (log y) z) (+ t a))
51.0ms	(fma x (log y) z)
95.0ms	(* (log c) (- b 0.5))

simplify69.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	595	1187
1	2567	952
2	5003	947

prune537.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log c)) (cbrt (log c)))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* (cbrt (log c)) (cbrt (log c)))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
4.0ms	(cbrt (log c))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (log c)) (cbrt (log c)))
271.0ms	(cbrt (log c))
265.0ms	(cbrt (log c))
269.0ms	(cbrt (log c))

simplify84.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	125	517
1	435	446
2	2997	388
3	5001	381

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (log c))
0.6b	(pow (log c) 2)
1.2b	(pow (pow (log c) 2) 1/3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`prod-diff`
30×	`unpow-prod-down`
28×	`add-exp-log`
15×	`prod-exp`
13×	`associate-l` `pow-exp`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp`
6×	`pow-unpow` `cbrt-unprod`
5×	`sqr-pow`
4×	`cbrt-prod` `expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow1/3` `unpow2`
2×	`pow-pow`
1×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 147

Calls

4 calls:

34.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
1.0ms	(cbrt (log c))
1.0ms	(pow (log c) 2)
3.0ms	(pow (pow (log c) 2) 1/3)

series794.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
271.0ms	(cbrt (log c))
152.0ms	(pow (log c) 2)
274.0ms	(pow (pow (log c) 2) 1/3)

simplify70.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	621	1749
1	2338	1368
2	5001	1345

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes464.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27925×	body	80	nan
560.0ms	9147×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid