Details

sample167.0ms

Algorithm

intervals

Results

65.0ms	1034×	body	80	nan
25.0ms	300×	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

prune11.0ms

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)

rewrite12.0ms

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))))
10.0ms	(+ (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:

678.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
85.0ms	(+ (fma x (log y) z) (+ t a))
354.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms	(fma x (log y) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (74.0ms)

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

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

0.0ms	(fma i y (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
28.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)
12.0ms	(* (log c) (- b 0.5))

series1.3s

Counts

4 → 12

Calls

4 calls:

706.0ms	(fma i y (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
388.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
59.0ms	(fma x (log y) z)
99.0ms	(* (log c) (- b 0.5))

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	595	1208
1	2544	952
2	5002	946

prune495.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (log c))
279.0ms	(cbrt (log c))
278.0ms	(cbrt (log c))
272.0ms	(* (cbrt (log c)) (cbrt (log c)))

simplify88.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	125	517
1	443	446
2	3004	388
3	5001	381

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (log c) 2)) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (pow (log c) 2))
0.5b	(cbrt (log c))
0.6b	(pow (log c) 2)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
22×	`cbrt-prod`
14×	`pow1`
12×	`unpow-prod-down` `associate-l`
10×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-r` `pow-exp` `*-commutative` `flip--`

Counts

4 → 129

Calls

4 calls:

25.0ms	(* (cbrt (pow (log c) 2)) (* (cbrt (log c)) (- b 0.5)))
1.0ms	(cbrt (pow (log c) 2))
1.0ms	(cbrt (log c))
2.0ms	(pow (log c) 2)

series798.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (pow (log c) 2)) (* (cbrt (log c)) (- b 0.5)))
277.0ms	(cbrt (pow (log c) 2))
269.0ms	(cbrt (log c))
159.0ms	(pow (log c) 2)

simplify57.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	526	1630
1	2036	1291
2	5002	1263

prune424.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes619.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample3.6s

Algorithm

intervals

Results

1.5s	27889×	body	80	nan
560.0ms	9250×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid