Details

sample28.0ms

Algorithm

intervals

Results

5.0ms	205×	body	80	valid
4.0ms	36×	body	1280	valid
3.0ms	36×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	14×	body	160	valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 0)

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 (- x z) 0)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma y (- x z) 0)

simplify69.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x z) 0)
2.6b	(exp (log (fma y (- x z) 0)))
3.0b	(log (fma y (- x z) 0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `fma-udef` `rem-exp-log`

Counts

3 → 41

Calls

3 calls:

0.0ms	(fma y (- x z) 0)
6.0ms	(exp (log (fma y (- x z) 0)))
1.0ms	(log (fma y (- x z) 0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma y (- x z) 0)
37.0ms	(exp (log (fma y (- x z) 0)))
61.0ms	(log (fma y (- x z) 0))

simplify92.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	105	209
1	198	185
2	508	182
3	2108	176
4	5002	176

prune110.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x z) 0)
0.2b	(pow (fma y (- x z) 0) 3)
35.3b	(cbrt (pow (fma y (- x z) 0) 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma y (- x z) 0)
3.0ms	(pow (fma y (- x z) 0) 3)
2.0ms	(cbrt (pow (fma y (- x z) 0) 3))

series120.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma y (- x z) 0)
55.0ms	(pow (fma y (- x z) 0) 3)
32.0ms	(cbrt (pow (fma y (- x z) 0) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	164	293
1	677	280
2	5001	274

prune118.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma y (- x z) 0) (fma y (- x z) 0))
0.3b	(* (cbrt (fma y (- x z) 0)) (cbrt (* (fma y (- x z) 0) (fma y (- x z) 0))))
3.5b	(cbrt (fma y (- x z) 0))
29.7b	(cbrt (* (fma y (- x z) 0) (fma y (- x z) 0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`add-exp-log`
7×	`associate-r`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

7.0ms	(* (fma y (- x z) 0) (fma y (- x z) 0))
12.0ms	(* (cbrt (fma y (- x z) 0)) (cbrt (* (fma y (- x z) 0) (fma y (- x z) 0))))
1.0ms	(cbrt (fma y (- x z) 0))
6.0ms	(cbrt (* (fma y (- x z) 0) (fma y (- x z) 0)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (fma y (- x z) 0) (fma y (- x z) 0))
32.0ms	(* (cbrt (fma y (- x z) 0)) (cbrt (* (fma y (- x z) 0) (fma y (- x z) 0))))
119.0ms	(cbrt (fma y (- x z) 0))
132.0ms	(cbrt (* (fma y (- x z) 0) (fma y (- x z) 0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	302	747
1	1163	674
2	5002	626

prune235.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2

end0.0ms

sample783.0ms

Algorithm

intervals

Results

184.0ms	6978×	body	80	valid
119.0ms	989×	body	1280	valid
83.0ms	889×	body	640	valid
52.0ms	676×	body	320	valid
36.0ms	241×	body	2560	valid
16.0ms	335×	body	160	valid