Details

sample82.0ms

Algorithm

intervals

Results

53.0ms

445×

body

valid

simplify125.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

125.0ms

(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
2×	`associate-+l+`

Counts

3 → 41

Calls

3 calls:

Slowest

102.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
40.0ms	(+ (+ (* x y) (* z t)) (* a b))
12.0ms	(+ (* x y) (* z t))

series453.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

304.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
96.0ms	(+ (+ (* x y) (* z t)) (* a b))
54.0ms	(+ (* x y) (* z t))

simplify2.3s

Counts

17 → 50

Calls

17 calls:

Slowest

597.0ms	(* (exp (+ (+ (* x y) (* z t)) (* a b))) (exp (* c i)))
568.0ms	(* (exp (+ (* x y) (* z t))) (exp (* a b)))
447.0ms	(* (* (* (exp (* x y)) (exp (* z t))) (exp (* a b))) (exp (* c i)))
224.0ms	(* (* (exp (+ (* x y) (* z t))) (exp (* a b))) (exp (* c i)))
180.0ms	(* (exp (* x y)) (exp (* z t)))

prune595.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

Slowest

59.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(cbrt (+ (* x y) (* z t)))
155.0ms	(cbrt (+ (* x y) (* z t)))
151.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
131.0ms	(cbrt (+ (* x y) (* z t)))

simplify8.7s

Counts

83 → 103

Calls

83 calls:

Slowest

393.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
375.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
368.0ms	(* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (+ (* x y) (* z t))))
352.0ms	(* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))))
350.0ms	(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.4b	(sqrt (+ (* x y) (* z t)))
1.4b	(sqrt (+ (* x y) (* z t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`cbrt-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 60

Calls

4 calls:

Slowest

11.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(cbrt (+ (* x y) (* z t)))
155.0ms	(cbrt (+ (* x y) (* z t)))
132.0ms	(sqrt (+ (* x y) (* z t)))
108.0ms	(sqrt (+ (* x y) (* z t)))

simplify4.0s

Counts

36 → 72

Calls

36 calls:

Slowest

399.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
390.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
356.0ms	(sqrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
340.0ms	(sqrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
305.0ms	(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.0b	(+ (* x y) (* z t))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

Slowest

154.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
42.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
41.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(+ (* x y) (* z t))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

578.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
575.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
72.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
52.0ms	(+ (* x y) (* z t))

simplify7.7s

Counts

100 → 114

Calls

100 calls:

Slowest

761.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
578.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
426.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
359.0ms	(* (sqrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
341.0ms	(sqrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

prune1.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

13723×

body

valid