Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

481×

body

valid

simplify8.0ms

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: 31.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.0b	(/ (* z z) (* t t))
21.9b	(/ (* x x) (* y y))

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:

28.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms	(/ (* z z) (* t t))
13.0ms	(/ (* x x) (* y y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
31.0ms	(/ (* z z) (* t t))
27.0ms	(/ (* x x) (* y y))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

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

prune126.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.4b	(* (fabs (/ x y)) (fabs (/ x y)))
19.0b	(/ (* z z) (* t t))

rewrite35.0ms

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:

15.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
6.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
12.0ms	(/ (* z z) (* t t))

series109.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
8.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
27.0ms	(/ (* z z) (* t t))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	431
1	1295	348
2	5001	324

prune147.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
40×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-l/` `sum-log` `flip-+`

Counts

3 → 103

Calls

3 calls:

8.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
21.0ms	(* (/ z t) (/ z t))
6.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
30.0ms	(* (/ z t) (/ z t))
8.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	463	705
1	2298	601
2	5001	555

prune303.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z t) (/ z t))
0.5b	(pow (sqrt (fabs (/ x y))) 3)
10.0b	(sqrt (fabs (/ x y)))
10.0b	(sqrt (fabs (/ x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
39×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`sqrt-prod`
6×	`unpow-prod-down` `cube-prod`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`rem-sqrt-square`
1×	`pow2` `cube-mult` `frac-times` `pow-to-exp` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

24.0ms	(* (/ z t) (/ z t))
3.0ms	(pow (sqrt (fabs (/ x y))) 3)
1.0ms	(sqrt (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ x y)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (/ z t) (/ z t))
20.0ms	(pow (sqrt (fabs (/ x y))) 3)
9.0ms	(sqrt (fabs (/ x y)))
9.0ms	(sqrt (fabs (/ x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	455	710
1	2300	624
2	5001	582

prune321.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes705.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

507.0ms

15455×

body

valid