Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

278×

body

valid

simplify44.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

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-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 67

Calls

3 calls:

29.0ms	(* y (- z t))
38.0ms	(+ x (/ (* y (- z t)) (- z a)))
36.0ms	(/ (* y (- z t)) (- z a))

series269.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* y (- z t))
131.0ms	(+ x (/ (* y (- z t)) (- z a)))
95.0ms	(/ (* y (- z t)) (- z a))

simplify31.0ms

Counts: 76 → 76

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

17.0ms	(+ x (* y (/ (- z t) (- z a))))
33.0ms	(/ (- z t) (- z a))
91.0ms	(* y (/ (- z t) (- z a)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ x (* y (/ (- z t) (- z a))))
58.0ms	(/ (- z t) (- z a))
106.0ms	(* y (/ (- z t) (- z a)))

simplify113.0ms

Counts: 122 → 122

prune381.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.8b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt` `cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
13×	`associate-r`
9×	`add-cube-cbrt` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 83

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
127.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- z t))
469.0ms	(cbrt (- z t))
173.0ms	(cbrt (- z t))
160.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

simplify50.0ms

Counts: 95 → 95

prune464.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

78.0ms	(+ x (/ y (/ (- z a) (- z t))))
32.0ms	(/ (- z a) (- z t))
33.0ms	(/ y (/ (- z a) (- z t)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ x (/ y (/ (- z a) (- z t))))
54.0ms	(/ (- z a) (- z t))
164.0ms	(/ y (/ (- z a) (- z t)))

simplify85.0ms

Counts: 215 → 215

prune656.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

-407.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify79.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

543.0ms	8725×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid