Details

sample177.0ms

Algorithm

intervals

Results

73.0ms	256×	body	80	valid
43.0ms	264×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1817
3	373
2	106
1	50
0	28

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
2.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.7b	(/ (* z (sqrt (+ t a))) t)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

21.0ms	(* z (sqrt (+ t a)))
6.0ms	(/ 2.0 (* t 3.0))
52.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
13.0ms	(/ (* z (sqrt (+ t a))) t)

series476.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* z (sqrt (+ t a)))
31.0ms	(/ 2.0 (* t 3.0))
262.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
104.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
1	1047
0	346

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.2b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`flip3--` `add-exp-log` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
71.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt t)
292.0ms	(cbrt t)
315.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
169.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.2s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
1	1861
0	488

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize151.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
2.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
3.7b	(/ (* z (sqrt (+ t a))) t)
40.8b	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
67×	`frac-times`
55×	`associate-*r/`
49×	`cbrt-div`
23×	`flip3-+` `associate-*l/` `flip-+`
21×	`flip3--` `flip--`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `associate--r+` `add-log-exp`
5×	`sqrt-prod`
4×	`sqrt-div`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `diff-log` `cube-unmult` `pow-prod-down` `-commutative` `rem-cbrt-cube` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 133

Calls

4 calls:

19.0ms	(* z (sqrt (+ t a)))
113.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
23.0ms	(/ (* z (sqrt (+ t a))) t)
58.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

series732.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* z (sqrt (+ t a)))
449.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
108.0ms	(/ (* z (sqrt (+ t a))) t)
76.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

simplify2.0s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
1	1481
0	521

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
1.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
3.7b	(/ (* z (sqrt (+ t a))) t)
40.8b	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log`
86×	`div-exp`
59×	`prod-exp`
31×	`pow-exp`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow-pow` `frac-sub`
7×	`flip3--` `associate-r` `flip--`
6×	`associate-*r/` `associate--r+` `add-log-exp`
5×	`pow-prod-up` `sqrt-prod`
4×	`frac-times` `sqrt-div` `pow-prod-down`
3×	`distribute-rgt-in` `pow-unpow` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `flip3-+` `associate-*l/` `associate--l+` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `pow-to-exp` `clear-num` `unpow-prod-down` `frac-2neg` `pow-plus` `unpow1/3` `diff-log` `cube-unmult` `pow-sqr` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `sqr-pow`

Counts

4 → 127

Calls

4 calls:

22.0ms	(* z (sqrt (+ t a)))
100.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
24.0ms	(/ (* z (sqrt (+ t a))) t)
88.0ms	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

83.0ms	(* z (sqrt (+ t a)))
1.0s	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
107.0ms	(/ (* z (sqrt (+ t a))) t)
356.0ms	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

simplify1.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
1	1182
0	388

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 2.8b

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.4s	8056×	body	80	nan