Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

269×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (33.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.5b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite20.0ms

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:

17.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ a (+ (- t z) 1.0))
167.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify98.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (27.0ms)

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

prune173.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

83.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series276.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
38.0ms	(/ (+ (- t z) 1.0) a)
140.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify165.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 126

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
24.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series288.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
139.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	470	995
1	1574	917
2	5001	911

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.5b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

449×	`*-un-lft-identity`
392×	`times-frac`
256×	`add-sqr-sqrt`
160×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 352

Calls

4 calls:

2.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
35.0ms	(/ (+ (- t z) 1.0) (- y z))
26.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
80.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series412.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
65.0ms	(/ (+ (- t z) 1.0) (- y z))
99.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
124.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify136.0ms

Algorithm

egg-herbie

Counts

364 → 364

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	925	3244
1	4485	2901
2	5001	2896

prune822.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

748.0ms	8489×	body	80	valid
0.0ms	1×	body	1280	valid