Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

479×

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.2b	(/ (* x x) (* y y))
21.6b	(/ (* z z) (* t t))

rewrite21.0ms

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:

10.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms	(/ (* x x) (* y y))
5.0ms	(/ (* z z) (* t t))

series143.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms	(/ (* x x) (* y y))
26.0ms	(/ (* z z) (* t t))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

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

prune128.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

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)))
21.2b	(/ (* 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))))
7.0ms	(* (fabs (/ z t)) (fabs (/ z t)))
28.0ms	(/ (* x x) (* y y))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

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

prune155.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

5.0ms	(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
12.0ms	(* (/ x y) (/ x y))
3.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
25.0ms	(* (/ x y) (/ x y))
8.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	463	705
1	2298	604
2	5001	558

prune259.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.5b	(pow (sqrt (fabs (/ z t))) 3)
8.7b	(sqrt (fabs (/ z t)))
8.7b	(sqrt (fabs (/ z t)))

rewrite22.0ms

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:

12.0ms	(* (/ x y) (/ x y))
4.0ms	(pow (sqrt (fabs (/ z t))) 3)
1.0ms	(sqrt (fabs (/ z t)))
1.0ms	(sqrt (fabs (/ z t)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (/ x y) (/ x y))
19.0ms	(pow (sqrt (fabs (/ z t))) 3)
8.0ms	(sqrt (fabs (/ z t)))
8.0ms	(sqrt (fabs (/ z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (52.0ms)

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

prune297.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes744.0ms

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

sample968.0ms

Algorithm

intervals

Results

548.0ms

15475×

body

valid