Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

513×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	7
1	44	6
2	58	6
3	60	6
4	60	6

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.9b	(/ (* x x) (* y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `fma-udef` `div-inv` `associate-/l`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
5.0ms	(/ (* x x) (* y y))

series146.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
35.0ms	(/ (* x x) (* y y))

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	178	240
1	755	177
2	3369	172
3	5003	172

prune110.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
9.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	97	283
1	337	224
2	1501	214
3	5002	208

prune134.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
0.3b	(pow (fabs (/ x y)) 3/2)
0.3b	(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
8.4b	(sqrt (fabs (/ x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`sqrt-prod`
8×	`unpow-prod-down`
7×	`pow1` `associate-l`
6×	`associate-r` `add-cbrt-cube` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `pow-prod-up`
1×	`rem-sqrt-square` `pow-pow` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
1.0ms	(pow (fabs (/ x y)) 3/2)
8.0ms	(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
1.0ms	(sqrt (fabs (/ x y)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
46.0ms	(pow (fabs (/ x y)) 3/2)
9.0ms	(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
14.0ms	(sqrt (fabs (/ x y)))

simplify120.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	180	666
1	631	621
2	3383	609
3	5001	545

prune302.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y))))) (sqrt (sqrt (fabs (/ x y)))))
0.3b	(* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y)))))
8.4b	(sqrt (fabs (/ x y)))
8.4b	(sqrt (fabs (/ x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

33×	`sqrt-prod`
31×	`add-sqr-sqrt`
19×	`add-exp-log`
18×	`associate-r`
17×	`sqrt-pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
11×	`add-cbrt-cube`
10×	`prod-exp` `pow-prod-up`
9×	`unswap-sqr`
8×	`associate-l`
7×	`pow1/2`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `rem-sqrt-square` `pow-exp` `*-commutative`
1×	`pow-prod-down`

Counts

4 → 102

Calls

4 calls:

21.0ms	(* (* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y))))) (sqrt (sqrt (fabs (/ x y)))))
10.0ms	(* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y)))))
1.0ms	(sqrt (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ x y)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y))))) (sqrt (sqrt (fabs (/ x y)))))
84.0ms	(* (pow (fabs (/ x y)) 3/2) (sqrt (sqrt (fabs (/ x y)))))
9.0ms	(sqrt (fabs (/ x y)))
11.0ms	(sqrt (fabs (/ x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	237	1015
1	967	909
2	5002	882

prune400.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes318.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

580.0ms

15465×

body

valid