Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	277×	body	80	valid
0.0ms	1×	body	1280	valid

simplify47.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
12.5b	(/ (* (- y z) t) (- a z))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

33.0ms	(* (- y z) t)
33.0ms	(+ x (/ (* (- y z) t) (- a z)))
35.0ms	(/ (* (- y z) t) (- a z))

series216.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- y z) t)
98.0ms	(+ x (/ (* (- y z) t) (- a z)))
84.0ms	(/ (* (- y z) t) (- a z))

simplify37.0ms

Counts: 72 → 72

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
4.3b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

6.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
137.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series732.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (- a z))
193.0ms	(cbrt (- a z))
206.0ms	(cbrt (- a z))
127.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify63.0ms

Counts: 134 → 134

prune527.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.9b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
21×	`times-frac`
17×	`associate-l`
16×	`cbrt-prod` `*-un-lft-identity`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-cube-cbrt` `cbrt-div` `div-exp`
10×	`associate-r`
8×	`associate-/r/` `unswap-sqr`
6×	`pow1` `flip3--` `flip--`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
116.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt t)
241.0ms	(cbrt t)
249.0ms	(cbrt t)
285.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

simplify63.0ms

Counts: 110 → 110

prune560.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
11.4b	(* (- y z) (/ t (- a z)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

17.0ms	(/ t (- a z))
10.0ms	(+ x (* (- y z) (/ t (- a z))))
64.0ms	(* (- y z) (/ t (- a z)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ t (- a z))
116.0ms	(+ x (* (- y z) (/ t (- a z))))
94.0ms	(* (- y z) (/ t (- a z)))

simplify38.0ms

Counts: 103 → 103

prune319.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes328.0ms

Accuracy

-710.5% (11.1b remaining)

Error of 11.1b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify6.5s

end0.0ms

sample1.5s

Algorithm

intervals

Results

786.0ms	8724×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid