Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

520×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	24	7
1	44	6
2	58	6
3	60	6
4	60	6
done	60	6

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.5b	(/ (* x x) (* y y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `fma-udef` `div-inv` `associate-/l`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
14.0ms	(/ (* x x) (* y y))

series148.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
36.0ms	(/ (* x x) (* y y))

simplify98.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	178	240
1	755	177
2	3369	172
3	5003	172
done	5003	172

prune100.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
10.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

series47.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
10.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

simplify65.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	97	283
1	337	224
2	1501	214
3	5002	208
done	5002	208

prune119.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.3b	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
0.3b	(pow (fabs (/ x y)) 3/2)
10.6b	(sqrt (fabs (/ x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`sqrt-prod`
8×	`unpow-prod-down`
7×	`pow1` `associate-r`
6×	`associate-l` `add-cbrt-cube` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `pow-prod-up`
1×	`rem-sqrt-square` `pow-pow` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 79

Calls

4 calls:

15.0ms	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.0ms	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
3.0ms	(pow (fabs (/ x y)) 3/2)
2.0ms	(sqrt (fabs (/ x y)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
36.0ms	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
48.0ms	(pow (fabs (/ x y)) 3/2)
15.0ms	(sqrt (fabs (/ x y)))

simplify119.0ms

Counts

91 → 91

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	177	672
1	615	625
2	2851	613
3	5001	545
done	5001	545

prune296.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (* (fabs (/ x y)) (sqrt (fabs (/ x y))))))
0.3b	(* (fabs (/ x y)) (sqrt (fabs (/ x y))))
10.6b	(sqrt (fabs (/ x y)))
10.6b	(sqrt (fabs (/ x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`pow1`
10×	`sqrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-l`
2×	`rem-sqrt-square` `pow-prod-up` `unswap-sqr`
1×	`pow3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (* (fabs (/ x y)) (sqrt (fabs (/ x y))))))
10.0ms	(* (fabs (/ x y)) (sqrt (fabs (/ x y))))
1.0ms	(sqrt (fabs (/ x y)))
2.0ms	(sqrt (fabs (/ x y)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (* (fabs (/ x y)) (sqrt (fabs (/ x y))))))
29.0ms	(* (fabs (/ x y)) (sqrt (fabs (/ x y))))
10.0ms	(sqrt (fabs (/ x y)))
14.0ms	(sqrt (fabs (/ x y)))

simplify55.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	125	531
1	375	486
2	1528	423
3	5001	413
done	5001	413

prune226.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes277.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11
done	13	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

531.0ms

15688×

body

valid