Details

sample191.0ms

Algorithm

intervals

Results

114.0ms

487×

body

valid

simplify340.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

340.0ms

(- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize85.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* (* x 18.0) y) z) t)
0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

Slowest

214.0ms	(* (* (* (* x 18.0) y) z) t)
86.0ms	(* (* (* x 18.0) y) z)
29.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(* (* (* (* x 18.0) y) z) t)
65.0ms	(* (* (* x 18.0) y) z)
37.0ms	(* (* x 18.0) y)
36.0ms	(* (* j 27.0) k)

simplify8.3s

Counts

55 → 105

Calls

55 calls:

Slowest

590.0ms	(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
564.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
532.0ms	(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))
491.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
366.0ms	(+ (+ (+ (+ (log x) (log 18.0)) (log y)) (log z)) (log t))

prune2.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (* (* x 18.0) y) (* z t))
0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))

rewrite572.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

Slowest

466.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
73.0ms	(* (* (* x 18.0) y) (* z t))
16.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)

series452.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

308.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
76.0ms	(* (* (* x 18.0) y) (* z t))
42.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)

simplify11.5s

Counts

55 → 107

Calls

55 calls:

Slowest

703.0ms	(* (cbrt (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))) (cbrt (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))))
618.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
562.0ms	(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
513.0ms	(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))
467.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))

prune2.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

5.2b	(* y (* z t))
4.8b	(* (* x 18.0) (* y (* z t)))
0.2b	(* (* j 27.0) k)
0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

Slowest

324.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
89.0ms	(* (* x 18.0) (* y (* z t)))
27.0ms	(* y (* z t))
24.0ms	(* (* j 27.0) k)

series458.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

307.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
86.0ms	(* (* x 18.0) (* y (* z t)))
43.0ms	(* y (* z t))
22.0ms	(* (* j 27.0) k)

simplify11.4s

Counts

55 → 107

Calls

55 calls:

Slowest

564.0ms	(* (* (* y y) y) (* (* (* z t) (* z t)) (* z t)))
520.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
484.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
465.0ms	(fma (* x 18.0) (* y (* z t)) (- (* t (* a 4.0))))
428.0ms	(* (* (* y y) y) (* (* (* z z) z) (* (* t t) t)))

prune2.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (* (* j 27.0) k))
8.0b	(cbrt (* (* j 27.0) k))
8.0b	(cbrt (* (* j 27.0) k))
5.2b	(* y (* z t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

Slowest

20.0ms	(cbrt (* (* j 27.0) k))
20.0ms	(cbrt (* (* j 27.0) k))
17.0ms	(cbrt (* (* j 27.0) k))
15.0ms	(* y (* z t))

series603.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(cbrt (* (* j 27.0) k))
183.0ms	(cbrt (* (* j 27.0) k))
183.0ms	(cbrt (* (* j 27.0) k))
53.0ms	(* y (* z t))

simplify4.5s

Counts

23 → 69

Calls

23 calls:

Slowest

566.0ms	(* (* (* y y) y) (* (* (* z t) (* z t)) (* z t)))
459.0ms	(* (cbrt 27.0) (exp (* -1/3 (+ (log (/ -1 j)) (log (/ -1 k))))))
446.0ms	(* (cbrt 27.0) (exp (* -1/3 (+ (log (/ -1 j)) (log (/ -1 k))))))
432.0ms	(* (* (* y y) y) (* (* (* z z) z) (* (* t t) t)))
396.0ms	(* (cbrt 27.0) (exp (* 1/3 (+ (log k) (log j)))))

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes3.2s

Accuracy

69.4% (1.6b remaining)

Error of 1.8b against oracle of 0.2b and baseline of 5.5b

bsearch567.0ms

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.0s

16005×

body

valid