Details

sample36.0ms

Algorithm

intervals

Results

28.0ms

329×

body

valid

simplify46.0ms

Calls

1 calls:

Slowest

46.0ms

(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize18.0ms

Local error

Found 3 expressions with local error:

4.2b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-l/` `add-exp-log` `insert-posit16` `associate-/l`
2×	`div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

3 calls:

Slowest

6.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
3.0ms	(/ (+ x 4) y)
3.0ms	(* (/ x y) z)

series59.0ms

Calls

3 calls:

Slowest

31.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)
14.0ms	(/ (+ x 4) y)

simplify781.0ms

Calls

20 calls:

Slowest

186.0ms	(- (* (+ x 4) y) (* y (* x z)))
118.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
102.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
100.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
81.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune586.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

9.9b	(cbrt (* (/ x y) z))
9.9b	(cbrt (* (/ x y) z))
9.9b	(cbrt (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

2.0ms	(* (/ x y) z)
2.0ms	(cbrt (* (/ x y) z))
1.0ms	(cbrt (* (/ x y) z))
1.0ms	(cbrt (* (/ x y) z))

series299.0ms

Calls

4 calls:

Slowest

106.0ms	(cbrt (* (/ x y) z))
89.0ms	(cbrt (* (/ x y) z))
82.0ms	(cbrt (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify2.4s

Calls

21 calls:

Slowest

338.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
314.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
290.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
286.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
276.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))

prune872.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

10.5b	(cbrt (/ x y))
9.9b	(cbrt (* (/ x y) z))
9.9b	(cbrt (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

2.0ms	(* (/ x y) z)
1.0ms	(cbrt (* (/ x y) z))
1.0ms	(cbrt (* (/ x y) z))
1.0ms	(cbrt (/ x y))

series277.0ms

Calls

4 calls:

Slowest

89.0ms	(cbrt (* (/ x y) z))
83.0ms	(cbrt (/ x y))
81.0ms	(cbrt (* (/ x y) z))
24.0ms	(* (/ x y) z)

simplify2.6s

Calls

24 calls:

Slowest

657.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
306.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
298.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
254.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
231.0ms	(exp (* 1/3 (- (+ (log z) (log x)) (log y))))

prune976.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

2.7b	(/ (- (+ x 4) (* x z)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/l*`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `associate-/l/`
1×	`pow1` `clear-num` `frac-2neg` `flip3--` `add-cbrt-cube` `div-sub` `add-exp-log` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Calls

1 calls:

Slowest

21.0ms

(/ (- (+ x 4) (* x z)) y)

series44.0ms

Calls

1 calls:

Slowest

44.0ms

(/ (- (+ x 4) (* x z)) y)

simplify994.0ms

Calls

8 calls:

Slowest

290.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
200.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
140.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
114.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
113.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune146.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes392.0ms

Accuracy

95% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10165×

body

valid