Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

504×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 32.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.6b	(/ (* x x) (* y y))
22.2b	(/ (* z z) (* t t))

rewrite20.0ms

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:

9.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms	(/ (* x x) (* y y))
5.0ms	(/ (* z z) (* t t))

series135.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
24.0ms	(/ (* x x) (* y y))
25.0ms	(/ (* z z) (* t t))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

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

prune131.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b	(* (fabs (/ z t)) (fabs (/ z t)))
21.6b	(/ (* x x) (* y y))

rewrite16.0ms

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:

7.0ms	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
5.0ms	(/ (* x x) (* y y))

series65.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
8.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
28.0ms	(/ (* x x) (* y y))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (38.0ms)

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

prune159.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))
0.3b	(* (fabs (/ z t)) (fabs (/ z t)))

rewrite10.0ms

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:

3.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
3.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
8.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

simplify159.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (153.0ms)

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

prune179.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
0.3b	(pow (fabs (/ z t)) 3/2)
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
9.2b	(sqrt (fabs (/ z t)))

rewrite14.0ms

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:

7.0ms	(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
1.0ms	(pow (fabs (/ z t)) 3/2)
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ z t)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
38.0ms	(pow (fabs (/ z t)) 3/2)
10.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
8.0ms	(sqrt (fabs (/ z t)))

simplify143.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (135.0ms)

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

prune248.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes568.0ms

Accuracy

0% (0.4b 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	16	13
1	16	13

end0.0ms

sample958.0ms

Algorithm

intervals

Results

571.0ms

15542×

body

valid