Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

450×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.4b	(/ (* x x) (* y y))
25.1b	(/ (* z z) (* t t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

24.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms	(/ (* x x) (* y y))
16.0ms	(/ (* z z) (* t t))

series148.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms	(/ (* x x) (* y y))
27.0ms	(/ (* z z) (* t t))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	375	410
1	1850	329
2	5002	297

prune133.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.4b	(* (fabs (/ z t)) (fabs (/ z t)))
20.4b	(/ (* x x) (* y y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`swap-sqr` `associate-r` `associate-l`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `times-frac` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

21.0ms	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
16.0ms	(/ (* x x) (* y y))

series70.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
12.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
27.0ms	(/ (* x x) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	267	431
1	1294	348
2	5001	324

prune152.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
0.4b	(* (fabs (/ z t)) (fabs (/ z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log` `add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 61

Calls

3 calls:

8.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
7.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
8.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
8.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

simplify153.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	185	467
1	845	384
2	4503	368
3	5001	352

prune181.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.2b	(pow (fabs (/ x y)) 3/2)
0.4b	(* (fabs (/ z t)) (fabs (/ z t)))
11.2b	(sqrt (fabs (/ x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
12×	`add-exp-log`
10×	`associate-r`
9×	`associate-l` `sqrt-prod`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
4×	`prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `swap-sqr` `pow-prod-up`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `rem-sqrt-square` `pow-pow` `pow-plus` `pow-prod-down` `pow-sqr`

Counts

4 → 88

Calls

4 calls:

17.0ms	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
2.0ms	(pow (fabs (/ x y)) 3/2)
7.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
1.0ms	(sqrt (fabs (/ x y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
39.0ms	(pow (fabs (/ x y)) 3/2)
8.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
9.0ms	(sqrt (fabs (/ x y)))

simplify133.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	202	623
1	822	572
2	4082	551
3	5001	519

prune231.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes729.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

504.0ms

15265×

body

valid