Details

sample51.0ms

Algorithm

intervals

Results

28.0ms

272×

body

valid

simplify638.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.5b	(/ (* (- y z) t) (- a z))

rewrite115.0ms

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:

36.0ms	(+ x (/ (* (- y z) t) (- a z)))
46.0ms	(* (- y z) t)
29.0ms	(/ (* (- y z) t) (- a z))

series299.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(+ x (/ (* (- y z) t) (- a z)))
48.0ms	(* (- y z) t)
115.0ms	(/ (* (- y z) t) (- a z))

simplify683.0ms

Counts: 72 → 72

prune250.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))
4.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

7.0ms	(cbrt (- a z))
8.0ms	(cbrt (- a z))
59.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
177.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series733.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (- a z))
191.0ms	(cbrt (- a z))
212.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
144.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.4s

Counts: 175 → 175

prune807.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

92×	`cbrt-prod`
66×	`add-sqr-sqrt`
55×	`cbrt-div`
53×	`times-frac`
42×	`*-un-lft-identity`
34×	`associate-/r/`
30×	`associate-r`
28×	`add-cube-cbrt`
25×	`flip3--` `flip--`
20×	`associate-l`
17×	`frac-times`
9×	`add-exp-log` `associate-r/` `associate-l/` `unswap-sqr`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative`

Counts

4 → 153

Calls

4 calls:

82.0ms	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
23.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
31.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
30.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

series3.6s

Counts

4 → 12

Calls

4 calls:

2.0s	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
510.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
559.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
535.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify683.0ms

Counts: 165 → 165

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (/ t (- a z)) (- y z)) 1))
0.0b	(/ t (- a z))
10.7b	(* (/ t (- a z)) (- y z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

9.0ms	(+ x (pow (* (/ t (- a z)) (- y z)) 1))
18.0ms	(/ t (- a z))
44.0ms	(* (/ t (- a z)) (- y z))

series326.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(+ x (pow (* (/ t (- a z)) (- y z)) 1))
33.0ms	(/ t (- a z))
163.0ms	(* (/ t (- a z)) (- y z))

simplify703.0ms

Counts: 108 → 108

prune411.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.4s

end0.0ms

sample1.4s

Algorithm

intervals

Results

799.0ms	8720×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid