Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

282×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (25.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.7b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

18.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series183.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ a (+ (- t z) 1.0))
148.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 1 expressions with local error:

10.4b

(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

205×	`*-un-lft-identity`
185×	`times-frac`
115×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
38×	`distribute-lft-out--`
36×	`distribute-lft-out`
20×	`difference-of-squares`
19×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 139

Calls

1 calls:

30.0ms

(/ (- y z) (/ (+ (- t z) 1.0) a))

series122.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify66.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	579	1524
1	2229	1478
2	5001	1477

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.9b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
924×	`*-un-lft-identity`
544×	`add-sqr-sqrt`
392×	`add-cube-cbrt`
152×	`distribute-lft-out` `distribute-lft-out--`
76×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
26×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp`
16×	`add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
3×	`div-sub` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 528

Calls

2 calls:

24.0ms	(/ (- y z) (+ (- t z) 1.0))
49.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series177.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (+ (- t z) 1.0))
126.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify111.0ms

Algorithm

egg-herbie

Counts

534 → 534

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1840	7413
1	5001	6893

prune835.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (* (* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (/ 1 a))
2.5b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
2.5b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
2.5b	(cbrt (/ (- y z) (+ (- t z) 1.0)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
106×	`times-frac`
93×	`cbrt-prod`
81×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
43×	`add-exp-log`
30×	`distribute-lft-out` `distribute-lft-out--`
18×	`div-exp`
17×	`add-cbrt-cube`
15×	`cbrt-div` `difference-of-squares`
13×	`associate-/r*`
12×	`prod-exp`
9×	`cbrt-undiv`
7×	`associate-/r/` `associate-/l/`
6×	`cbrt-unprod` `div-inv`
5×	`frac-times` `associate-*l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `flip3-+` `pow1/3` `1-exp` `associate-*r/` `flip-+`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 191

Calls

4 calls:

126.0ms	(/ (* (* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (/ 1 a))
11.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
11.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
11.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* (* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (cbrt (/ (- y z) (+ (- t z) 1.0)))) (/ 1 a))
135.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
132.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
130.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	684	2970
1	2564	2420
2	5001	2248

prune543.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample534.0ms

Algorithm

intervals

Results

283.0ms	8519×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid