Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

339×

body

valid

simplify425.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
7.6b	(/ (* y (- z t)) a)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

37.0ms	(* y (- z t))
9.0ms	(+ x (/ (* y (- z t)) a))
18.0ms	(/ (* y (- z t)) a)

series190.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* y (- z t))
76.0ms	(+ x (/ (* y (- z t)) a))
73.0ms	(/ (* y (- z t)) a)

simplify544.0ms

Counts: 70 → 70

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
7.6b	(* (* y (- z t)) (/ 1 a))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

31.0ms	(* y (- z t))
9.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
47.0ms	(* (* y (- z t)) (/ 1 a))

series186.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* y (- z t))
58.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
75.0ms	(* (* y (- z t)) (/ 1 a))

simplify897.0ms

Counts: 88 → 88

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 a))
0.7b	(cbrt (/ 1 a))
1.3b	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
6.5b	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-div`
43×	`associate-*r/`
39×	`cbrt-prod`
38×	`frac-times`
34×	`pow1` `add-exp-log`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
17×	`associate-r`
12×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))
295.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
96.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt (/ 1 a))
251.0ms	(cbrt (/ 1 a))
119.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
240.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

simplify1.2s

Counts: 152 → 152

prune555.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 a))
0.7b	(cbrt (/ 1 a))
1.3b	(/ (* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt 1)) (cbrt a))
6.5b	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
32×	`cbrt-prod`
28×	`associate-*r/`
26×	`cbrt-div`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
21×	`associate-*l/` `prod-exp` `cbrt-unprod`
18×	`frac-times`
16×	`pow1`
11×	`associate-/l/`
8×	`flip3--` `pow-prod-down` `flip--`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`add-log-exp`
3×	`div-inv`
2×	`pow1/3`
1×	`frac-2neg` `associate-r` `associate-l` `clear-num` `-commutative` `associate-/l`

Counts

4 → 123

Calls

4 calls:

4.0ms	(cbrt (/ 1 a))
4.0ms	(cbrt (/ 1 a))
274.0ms	(/ (* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt 1)) (cbrt a))
88.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

series803.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (/ 1 a))
266.0ms	(cbrt (/ 1 a))
115.0ms	(/ (* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt 1)) (cbrt a))
207.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

simplify1.0s

Counts: 135 → 135

prune636.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes514.0ms

Accuracy

2.3% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify512.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

509.0ms

10736×

body

valid