Details

sample52.0ms

Algorithm

intervals

Results

23.0ms

497×

body

valid

simplify1.1s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

8.0ms	(- (* z z) t)
39.0ms	(* (* y 4.0) (- (* z z) t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* z z) t)
87.0ms	(* (* y 4.0) (- (* z z) t))

simplify509.0ms

Counts: 44 → 44

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

106.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
8.0ms	(cbrt (- (* z z) t))
11.0ms	(cbrt (- (* z z) t))
18.0ms	(cbrt (- (* z z) t))

series463.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
104.0ms	(cbrt (- (* z z) t))
112.0ms	(cbrt (- (* z z) t))
134.0ms	(cbrt (- (* z z) t))

simplify1.8s

Counts: 84 → 84

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 3 expressions with local error:

2.5b	(+ (- (* t t)) (pow z 4))
4.8b	(* (* y 4.0) (/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t)))
24.7b	(/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `distribute-lft-out`
7×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*`
2×	`neg-sub0` `associate-+l-` `sum-log` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `div-sub` `associate-r/` `associate-l` `neg-log` `clear-num` `-commutative`

Counts

3 → 88

Calls

3 calls:

12.0ms	(+ (- (* t t)) (pow z 4))
87.0ms	(* (* y 4.0) (/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t)))
51.0ms	(/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t))

series422.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (- (* t t)) (pow z 4))
218.0ms	(* (* y 4.0) (/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t)))
122.0ms	(/ (+ (- (* t t)) (pow z 4)) (+ (* z z) t))

simplify903.0ms

Counts: 97 → 97

prune353.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.7b	(sqrt (- (* z z) t))
4.7b	(sqrt (- (* z z) t))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

47.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
158.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
10.0ms	(sqrt (- (* z z) t))
12.0ms	(sqrt (- (* z z) t))

series240.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
63.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
52.0ms	(sqrt (- (* z z) t))
47.0ms	(sqrt (- (* z z) t))

simplify651.0ms

Counts: 101 → 101

prune329.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.0b

regimes559.0ms

Accuracy

56.3% (1.5b remaining)

Error of 4.0b against oracle of 2.5b and baseline of 6.0b

bsearch1.0ms

simplify904.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

15680×

body

valid