Details

sample118.0ms

Algorithm

intervals

Results

46.0ms	829×	body	80	nan
17.0ms	287×	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)))
0.2b	(fma x (log y) z)

rewrite9.0ms

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))))
7.0ms	(+ (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:

666.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
82.0ms	(+ (fma x (log y) z) (+ t a))
347.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
55.0ms	(fma x (log y) z)

simplify77.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (71.0ms)

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

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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	(* (log c) (- b 0.5))
0.2b	(fma x (log y) z)

rewrite43.0ms

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))))
27.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
11.0ms	(* (log c) (- b 0.5))
0.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

695.0ms	(fma i y (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
376.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
92.0ms	(* (log c) (- b 0.5))
55.0ms	(fma x (log y) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (56.0ms)

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

prune491.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 81

Calls

4 calls:

5.0ms	(* (cbrt b) (cbrt b))
0.0ms	(cbrt b)
0.0ms	(cbrt b)
1.0ms	(cbrt b)

series729.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt b) (cbrt b))
170.0ms	(cbrt b)
190.0ms	(cbrt b)
172.0ms	(cbrt b)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	256

prune564.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- b 0.5))
0.3b	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
0.4b	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
0.7b	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
37×	`add-sqr-sqrt`
36×	`frac-times`
34×	`*-un-lft-identity`
26×	`pow1`
20×	`add-exp-log`
18×	`associate-*l/`
17×	`associate-r`
16×	`add-cube-cbrt`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 159

Calls

4 calls:

2.0ms	(cbrt (- b 0.5))
23.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
87.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
19.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (- b 0.5))
196.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
239.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
119.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify89.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	832	1907
1	3147	1727
2	5002	1636

prune683.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes484.0ms

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	27718×	body	80	nan
591.0ms	9224×	body	80	valid
0.0ms	1×	body	160	valid