Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify491.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	33	11
3	53	11
4	85	11
5	115	11
6	143	11
7	161	11
8	186	11
9	220	11
10	286	11
11	375	11
12	421	11
13	499	11
14	521	11
done	521	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite43.0ms

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:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
11.0ms	(/ (- z t) (- a t))
25.0ms	(* y (/ (- z t) (- a t)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- a t))))
46.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	162	1555
1	422	1454
2	1123	1368
3	3611	1368
done	5000	1366

prune271.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
2.2b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(/ z (- a t))
52.0ms	(- (/ z (- a t)) (/ t (- a t)))
5.0ms	(/ t (- a t))
153.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ z (- a t))
61.0ms	(- (/ z (- a t)) (/ t (- a t)))
46.0ms	(/ t (- a t))
79.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify1.1s

Counts

156 → 156

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	1863
1	434	1769
2	923	1669
3	2127	1669
done	5001	1663

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.6b	(* (cbrt (- a t)) (cbrt (- a t)))
2.2b	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
42×	`cbrt-prod`
24×	`associate-r`
21×	`times-frac`
16×	`add-cube-cbrt` `cbrt-div` `difference-of-squares`
13×	`pow1`
12×	`distribute-lft-out--`
11×	`associate-l`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`add-exp-log` `pow1/3`
6×	`add-cbrt-cube`
5×	`associate-*r/` `unswap-sqr`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus` `frac-sub`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
20.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
518.0ms	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- a t))
144.0ms	(cbrt (- a t))
118.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
77.0ms	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	215	2255
1	482	2143
2	1199	1673
3	4571	1590
done	5001	1590

prune397.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- a t))) 1))
0.0b	(/ y (- a t))
9.5b	(* (- z t) (/ y (- a t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`*-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-+` `distribute-lft-out`

Counts

3 → 95

Calls

3 calls:

4.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
5.0ms	(/ y (- a t))
27.0ms	(* (- z t) (/ y (- a t)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
32.0ms	(/ y (- a t))
60.0ms	(* (- z t) (/ y (- a t)))

simplify811.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	157	1262
1	370	1141
2	1336	1063
done	5000	1063

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	16	26
done	16	26

end0.0ms

sample526.0ms

Algorithm

intervals

Results

269.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid