Details

sample44.0ms

Algorithm

intervals

Results

29.0ms

300×

body

valid

simplify359.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

359.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize14.0ms

Local error

Found 1 expressions with local error:

4.4b	(* x (/ y z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

Slowest

20.0ms

(* x (/ y z))

series49.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

49.0ms

(* x (/ y z))

simplify781.0ms

Counts

27 → 38

Calls

27 calls:

Slowest

258.0ms	(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
140.0ms	(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
55.0ms	(+ (log x) (log (/ y z)))
55.0ms	(+ (log x) (- (log y) (log z)))
46.0ms	(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune414.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

Slowest

31.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

322.0ms	(cbrt y)
320.0ms	(cbrt y)
312.0ms	(cbrt y)
105.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify5.5s

Counts

44 → 87

Calls

44 calls:

Slowest

516.0ms	(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
433.0ms	(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt z) (cbrt z)))))
429.0ms	(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
401.0ms	(+ (log x) (log (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
397.0ms	(* (* (* x x) x) (* (* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

365.0ms	(cbrt y)
356.0ms	(cbrt y)
322.0ms	(cbrt z)
259.0ms	(cbrt y)

simplify761.0ms

Counts

24 → 68

Calls

24 calls:

Slowest

162.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
138.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
131.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
126.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
38.0ms	(pow (/ 1 y) -1/3)

prune905.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (cbrt y) (cbrt y)) (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

Slowest

15.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

371.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (cbrt y)))
338.0ms	(cbrt y)
324.0ms	(cbrt y)
265.0ms	(cbrt y)

simplify772.0ms

Counts

22 → 67

Calls

22 calls:

Slowest

176.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
140.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
139.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
134.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
33.0ms	(pow (/ 1 y) -1/3)

prune1.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes506.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch3.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.7s

9575×

body

valid