Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

267×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (26.0ms)

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: 1.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.9b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite35.0ms

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:

33.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series173.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ a (+ (- t z) 1.0))
141.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (24.0ms)

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

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.0b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite278.0ms

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:

63.0ms	(/ (+ (- t z) 1.0) a)
117.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
52.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series229.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ (- t z) 1.0) a)
84.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
115.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify158.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune952.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))
1.3b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite151.0ms

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:

8.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
45.0ms	(/ (- y z) (+ (- t z) 1.0))
93.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series249.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
45.0ms	(/ (- y z) (+ (- t z) 1.0))
120.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (43.0ms)

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

prune318.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
4.0b	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (+ (- t z) 1.0)) (* (cbrt (- y z)) a))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
20×	`*-un-lft-identity`
18×	`add-cbrt-cube`
15×	`cbrt-prod` `add-sqr-sqrt`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`cbrt-div`
9×	`pow1` `add-cube-cbrt`
5×	`flip3--` `times-frac` `associate-*l/` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `difference-of-squares`
2×	`frac-times` `associate-*r/` `associate-/r/` `distribute-lft-out`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `div-inv`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
139.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (+ (- t z) 1.0)) (* (cbrt (- y z)) a))

series573.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- y z))
147.0ms	(cbrt (- y z))
151.0ms	(cbrt (- y z))
119.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (+ (- t z) 1.0)) (* (cbrt (- y z)) a))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	458	978
1	1654	809
2	5001	723

prune361.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.2b 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

sample586.0ms

Algorithm

intervals

Results

251.0ms	8502×	body	80	valid
0.0ms	1×	body	640	valid