Details

sample31.0ms

Algorithm

intervals

Results

23.0ms

301×

body

valid

simplify348.0ms

Calls

1 calls:

Slowest

348.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (/ y z))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-r`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`pow1` `add-cbrt-cube` `associate-r/` `add-exp-log` `-commutative` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(* x (/ y z))

series20.0ms

Calls

1 calls:

Slowest

20.0ms

(* x (/ y z))

simplify85.0ms

Calls

7 calls:

Slowest

21.0ms	(/ (* x y) z)
21.0ms	(/ (* x y) z)
21.0ms	(/ (* x y) z)
6.0ms	(/ 1 z)
5.0ms	(cbrt (/ y z))

prune160.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (/ y z))
8.9b	(cbrt (/ y z))
8.9b	(cbrt (/ y z))
1.1b	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-*r/` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Calls

4 calls:

Slowest

6.0ms	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
1.0ms	(cbrt (/ y z))
0.0ms	(cbrt (/ y z))
0.0ms	(cbrt (/ y z))

series312.0ms

Calls

4 calls:

Slowest

94.0ms	(cbrt (/ y z))
80.0ms	(cbrt (/ y z))
73.0ms	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
66.0ms	(cbrt (/ y z))

simplify2.3s

Calls

31 calls:

Slowest

257.0ms	(* (exp (* 1/3 (- (* 2 (log y)) (* 2 (log z))))) x)
241.0ms	(* x (exp (* 1/3 (- (* 2 (log (/ 1 z))) (* 2 (log (/ 1 y)))))))
235.0ms	(exp (* 1/3 (- (log (/ -1 z)) (log (/ -1 y)))))
229.0ms	(exp (* 1/3 (- (log (/ -1 z)) (log (/ -1 y)))))
220.0ms	(exp (* 1/3 (- (log (/ 1 z)) (log (/ 1 y)))))

prune794.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (/ y z))
8.9b	(cbrt (/ y z))
1.1b	(* x (* (cbrt (/ y z)) (/ (cbrt y) (cbrt z))))
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Calls

4 calls:

Slowest

4.0ms	(* x (* (cbrt (/ y z)) (/ (cbrt y) (cbrt z))))
1.0ms	(cbrt (/ y z))
0.0ms	(cbrt (/ y z))
0.0ms	(cbrt y)

series467.0ms

Calls

4 calls:

Slowest

255.0ms	(cbrt y)
81.0ms	(cbrt (/ y z))
67.0ms	(* x (* (cbrt (/ y z)) (/ (cbrt y) (cbrt z))))
64.0ms	(cbrt (/ y z))

simplify1.8s

Calls

26 calls:

Slowest

269.0ms	(exp (* 1/3 (- (log (/ 1 z)) (log (/ 1 y)))))
263.0ms	(* x (exp (* 1/3 (- (* 2 (log (/ 1 z))) (* 2 (log (/ 1 y)))))))
235.0ms	(exp (* 1/3 (- (log (/ -1 z)) (log (/ -1 y)))))
235.0ms	(* (exp (* 1/3 (- (* 2 (log y)) (* 2 (log z))))) x)
227.0ms	(exp (* 1/3 (- (log (/ -1 z)) (log (/ -1 y)))))

prune640.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (/ y z))
8.9b	(cbrt (/ y z))
1.1b	(* x (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))))
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `cbrt-div` `-un-lft-identity` `associate-r/` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Calls

4 calls:

Slowest

14.0ms	(* x (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))))
1.0ms	(cbrt (/ y z))
0.0ms	(cbrt (/ y z))
0.0ms	(cbrt y)

series510.0ms

Calls

4 calls:

Slowest

247.0ms	(cbrt y)
112.0ms	(* x (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))))
78.0ms	(cbrt (/ y z))
73.0ms	(cbrt (/ y z))

simplify1.9s

Calls

26 calls:

Slowest

383.0ms	(exp (* 1/3 (- (log y) (log z))))
236.0ms	(* x (exp (* 1/3 (- (* 2 (log (/ 1 z))) (* 2 (log (/ 1 y)))))))
228.0ms	(* (exp (* 1/3 (- (* 2 (log y)) (* 2 (log z))))) x)
184.0ms	(exp (* 1/3 (- (log (/ -1 z)) (log (/ -1 y)))))
183.0ms	(* (exp (* 1/3 (- (* 2 (log (/ -1 z))) (* 2 (log (/ -1 y)))))) (* (pow (cbrt -1) 2) x))

prune661.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

69.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 6.2b

bsearch7.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

861.0ms

9557×

body

valid