Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

37.0ms

(* a (+ (+ b c) d))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* a (+ (+ b c) d))

simplify97.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	151	122
1	779	108
2	4782	108
3	5001	108

prune63.0ms

Filtered

29 candidates to 22 candidates (75.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* a c))
0.0b	(fma d a (fma a b (* a c)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma a b (* a c))
0.0ms	(fma d a (fma a b (* a c)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma a b (* a c))
31.0ms	(fma d a (fma a b (* a c)))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune67.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d a (* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c)))))
0.2b	(sqrt (fma a b (* a c)))
0.2b	(sqrt (fma a b (* a c)))
0.5b	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma d a (* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c)))))
1.0ms	(sqrt (fma a b (* a c)))
1.0ms	(sqrt (fma a b (* a c)))
7.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma d a (* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c)))))
57.0ms	(sqrt (fma a b (* a c)))
53.0ms	(sqrt (fma a b (* a c)))
38.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

simplify174.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	176	555
1	679	470
2	4042	440
3	5001	440

prune225.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.4b	(* a (- (* (+ b c) (+ b c)) (* d d)))
8.4b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

9.0ms	(- (* (+ b c) (+ b c)) (* d d))
16.0ms	(* (+ b c) (+ b c))
33.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
33.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series292.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* (+ b c) (+ b c)) (* d d))
13.0ms	(* (+ b c) (+ b c))
124.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
100.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify88.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	551	1054
1	2922	921
2	5001	909

prune248.0ms

Filtered

139 candidates to 89 candidates (64.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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	13	3
1	15	3
2	15	3

end0.0ms

sample516.0ms

Algorithm

intervals

Results

178.0ms	8000×	pre	80	true
148.0ms	8000×	body	80	valid