Details

sample47.0ms

Algorithm

intervals

Results

23.0ms

283×

body

valid

simplify208.0ms

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* y z) (* t z))
5.6b	(/ (* x 2.0) (- (* y z) (* t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

8.0ms	(- (* y z) (* t z))
20.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (* y z) (* t z))
70.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

simplify392.0ms

Counts: 44 → 44

prune105.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b	(/ (/ (* x 2.0) z) (- y t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`associate-/r/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`

Counts

1 → 66

Calls

1 calls:

35.0ms

(/ (/ (* x 2.0) z) (- y t))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ (/ (* x 2.0) z) (- y t))

simplify594.0ms

Counts: 69 → 69

prune194.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
3.6b	(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

187×	`times-frac`
145×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
119×	`add-exp-log`
110×	`associate-r`
91×	`add-cube-cbrt`
83×	`cbrt-prod`
51×	`add-cbrt-cube`
50×	`div-exp`
45×	`prod-exp`
27×	`cbrt-undiv` `cbrt-unprod`
20×	`cbrt-div`
16×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--` `div-inv`
7×	`unswap-sqr`
6×	`pow1`
5×	`frac-times` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 227

Calls

4 calls:

6.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
157.0ms	(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

series783.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (- y t))
214.0ms	(cbrt (- y t))
209.0ms	(cbrt (- y t))
117.0ms	(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

simplify668.0ms

Counts: 239 → 239

prune970.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 z))
0.5b	(cbrt (/ 1 z))
0.5b	(cbrt (/ 1 z))
3.7b	(/ (* (* x 2.0) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (cbrt (- y t)) (cbrt (- y t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
39×	`cbrt-prod`
28×	`times-frac`
27×	`add-cbrt-cube`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-exp` `cbrt-unprod`
19×	`cbrt-div`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
6×	`flip3--` `associate-*r/` `flip--`
5×	`frac-times`
4×	`pow1` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 110

Calls

4 calls:

5.0ms	(cbrt (/ 1 z))
5.0ms	(cbrt (/ 1 z))
3.0ms	(cbrt (/ 1 z))
89.0ms	(/ (* (* x 2.0) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (cbrt (- y t)) (cbrt (- y t))))

series927.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (/ 1 z))
218.0ms	(cbrt (/ 1 z))
230.0ms	(cbrt (/ 1 z))
224.0ms	(/ (* (* x 2.0) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (cbrt (- y t)) (cbrt (- y t))))

simplify1.1s

Counts: 122 → 122

prune623.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

47.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify550.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

440.0ms

8749×

body

valid