Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series134.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
81.0ms	(fma (/ (- y z) (- a z)) t x)

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune208.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

5.0ms	(/ z (- a z))
5.0ms	(/ y (- a z))
72.0ms	(- (/ y (- a z)) (/ z (- a z)))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series316.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ z (- a z))
29.0ms	(/ y (- a z))
70.0ms	(- (/ y (- a z)) (/ z (- a z)))
168.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify189.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1233	15689
1	3299	11705
2	5002	11613

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(/ z (- a z))
0.1b	(fma y (/ 1 (- a z)) (- (/ z (- a z))))
1.0b	(fma (fma y (/ 1 (- a z)) (- (/ z (- a z)))) t x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`add-exp-log` `associate-/r*`
8×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv`
1×	`rec-exp` `pow-flip` `1-exp` `inv-pow`

Counts

4 → 102

Calls

4 calls:

5.0ms	(/ 1 (- a z))
5.0ms	(/ z (- a z))
0.0ms	(fma y (/ 1 (- a z)) (- (/ z (- a z))))
0.0ms	(fma (fma y (/ 1 (- a z)) (- (/ z (- a z)))) t x)

series341.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- a z))
50.0ms	(/ z (- a z))
72.0ms	(fma y (/ 1 (- a z)) (- (/ z (- a z))))
183.0ms	(fma (fma y (/ 1 (- a z)) (- (/ z (- a z)))) t x)

simplify74.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	253	589
1	799	531
2	2419	506
3	5001	506

prune322.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
8.8b	(/ (* (- y z) t) (- a z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

10.0ms	(+ x (/ (* (- y z) t) (- a z)))
12.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series185.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (/ (* (- y z) t) (- a z)))
30.0ms	(* (- y z) t)
71.0ms	(/ (* (- y z) t) (- a z))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	340	395
1	1442	355
2	5001	353

prune219.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample958.0ms

Algorithm

intervals

Results

685.0ms	8731×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid