Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

504×

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: 33.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.7b	(/ (* z z) (* t t))
23.6b	(/ (* x x) (* y y))

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms	(/ (* z z) (* t t))
30.0ms	(/ (* x x) (* y y))

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

prune145.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
19.7b	(/ (* z z) (* t t))

rewrite13.0ms

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:

4.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
5.0ms	(/ (* z z) (* t t))

series107.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
26.0ms	(/ (* z z) (* t t))

simplify37.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

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

prune163.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

3.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
13.0ms	(* (/ z t) (/ z t))

series111.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
31.0ms	(* (/ z t) (/ z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (55.0ms)

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

prune273.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

13.0ms	(* (/ z t) (/ z t))
2.0ms	(pow (sqrt (fabs (/ x y))) 3)
1.0ms	(sqrt (fabs (/ x y)))
1.0ms	(sqrt (fabs (/ x y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (/ z t) (/ z t))
18.0ms	(pow (sqrt (fabs (/ x y))) 3)
7.0ms	(sqrt (fabs (/ x y)))
8.0ms	(sqrt (fabs (/ x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (54.0ms)

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

prune317.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes814.0ms

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	15	11
1	15	11

end0.0ms

sample914.0ms

Algorithm

intervals

Results

537.0ms

15580×

body

valid