Details

sample54.0ms

Algorithm

intervals

Results

38.0ms

348×

body

valid

simplify76.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

76.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize27.0ms

Local error

Found 3 expressions with local error:

3.5b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 82

Calls

3 calls:

Slowest

56.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms	(/ (+ x 4) y)
25.0ms	(* (/ x y) z)

series130.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
40.0ms	(/ (+ x 4) y)
27.0ms	(* (/ x y) z)

simplify2.1s

Counts

68 → 91

Calls

68 calls:

Slowest

254.0ms	(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
243.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
218.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
139.0ms	(- (* (+ x 4) y) (* y (* x z)))
135.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

10.2b	(cbrt (* (/ x y) z))
10.2b	(cbrt (* (/ x y) z))
10.2b	(cbrt (* (/ x y) z))
3.5b	(* (/ x y) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

Slowest

19.0ms	(* (/ x y) z)
9.0ms	(cbrt (* (/ x y) z))
9.0ms	(cbrt (* (/ x y) z))
8.0ms	(cbrt (* (/ x y) z))

series448.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(cbrt (* (/ x y) z))
149.0ms	(cbrt (* (/ x y) z))
111.0ms	(cbrt (* (/ x y) z))
39.0ms	(* (/ x y) z)

simplify2.6s

Counts

41 → 78

Calls

41 calls:

Slowest

345.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
319.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
305.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
253.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
188.0ms	(exp (* 1/3 (- (+ (log z) (log x)) (log y))))

prune999.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (/ x y) z)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

Slowest

19.0ms	(* (/ x y) z)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series925.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(cbrt y)
306.0ms	(cbrt y)
266.0ms	(cbrt y)
41.0ms	(* (/ x y) z)

simplify1.4s

Counts

44 → 81

Calls

44 calls:

Slowest

285.0ms	(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
144.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
139.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
136.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
97.0ms	(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

7.2b	(* x (/ z y))
0.0b	(+ (/ x y) (/ 4 y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-r` `add-cube-cbrt`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-*r/` `distribute-lft-out`
3×	`associate-l` `frac-sub` `insert-posit16` `div-inv`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 69

Calls

3 calls:

Slowest

133.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
20.0ms	(+ (/ x y) (/ 4 y))
17.0ms	(* x (/ z y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

63.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
38.0ms	(+ (/ x y) (/ 4 y))
37.0ms	(* x (/ z y))

simplify2.9s

Counts

54 → 78

Calls

54 calls:

Slowest

349.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
334.0ms	(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
331.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
296.0ms	(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
217.0ms	(/ (exp (+ (/ x y) (/ 4 y))) (exp (* x (/ z y))))

prune786.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

83.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch161.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

10170×

body

valid