Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify429.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
18.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

2 → 37

Calls

2 calls:

31.0ms	(- (* (* z 2.0) z) (* y t))
74.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series298.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* (* z 2.0) z) (* y t))
241.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify485.0ms

Counts: 43 → 43

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize39.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

94.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
34.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
34.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
45.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series845.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
188.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
180.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
172.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify648.0ms

Counts: 80 → 80

prune511.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize44.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (* y 2.0))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

135.0ms	(/ (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (* y 2.0))
35.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
38.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
30.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(/ (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (* y 2.0))
193.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
204.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
176.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify710.0ms

Counts: 80 → 80

prune580.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
5.2b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.3b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`pow1`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/`

Counts

3 → 88

Calls

3 calls:

19.0ms	(- (* (* z 2.0) z) (* y t))
59.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
61.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series475.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (* (* z 2.0) z) (* y t))
315.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
84.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify1.0s

Counts: 97 → 97

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

regimes243.0ms

Accuracy

0% (0.9b remaining)

Error of 2.9b against oracle of 2.1b and baseline of 2.9b

bsearch0.0ms

simplify979.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

8000×

body

valid