Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

341×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (23.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

1.1b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- t z) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (/ y a) (- t z) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- t z) x))
1.1b	(fma (/ y a) (- t z) x)
1.1b	(fma (/ y a) (- t z) x)
1.1b	(fma (/ y a) (- t z) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`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×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y a) (- t z) x))
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series290.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (fma (/ y a) (- t z) x))
41.0ms	(fma (/ y a) (- t z) x)
39.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5002	255

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b	(fma (/ y a) (- t z) x)
1.1b	(fma (/ y a) (- t z) x)
1.1b	(fma (/ y a) (- t z) x)
1.1b	(fma (/ y a) (- t z) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)

series166.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ y a) (- t z) x)
38.0ms	(fma (/ y a) (- t z) x)
39.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune875.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
7.8b	(/ (* y (- z t)) a)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `associate-l` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 111

Calls

3 calls:

22.0ms	(* y (- z t))
10.0ms	(- x (/ (* y (- z t)) a))
22.0ms	(/ (* y (- z t)) a)

series125.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
44.0ms	(- x (/ (* y (- z t)) a))
46.0ms	(/ (* y (- z t)) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	505	1133
1	2195	751
2	5001	747

prune277.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

56.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample614.0ms

Algorithm

intervals

Results

298.0ms

10783×

body

valid