Details

sample161.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
33.0ms	265×	body	80	nan

simplify577.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.7b	(/ (* z (sqrt (+ t a))) t)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
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` `sqrt-div` `div-exp` `associate-/r` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

25.0ms	(* z (sqrt (+ t a)))
8.0ms	(/ 2.0 (* t 3.0))
59.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.0ms	(/ (* z (sqrt (+ t a))) t)

series477.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* z (sqrt (+ t a)))
19.0ms	(/ 2.0 (* t 3.0))
269.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
116.0ms	(/ (* z (sqrt (+ t a))) t)

simplify442.0ms

Counts: 113 → 113

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.4b	(/ t (sqrt (+ t a)))
1.4b	(/ z (/ t (sqrt (+ t a))))
1.7b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

189×	`times-frac`
138×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`sqrt-prod`
35×	`associate-/r*`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
11×	`associate-/r/`
10×	`sqrt-div`
9×	`flip3--` `flip--` `associate-/l*`
8×	`frac-times` `flip3-+` `flip-+`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate--r+` `add-log-exp`
4×	`pow1` `associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num`
2×	`associate-*l/` `associate--l+`
1×	`diff-log` `prod-exp` `cbrt-unprod`

Counts

4 → 224

Calls

4 calls:

13.0ms	(/ 2.0 (* t 3.0))
23.0ms	(/ t (sqrt (+ t a)))
29.0ms	(/ z (/ t (sqrt (+ t a))))
199.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 2.0 (* t 3.0))
99.0ms	(/ t (sqrt (+ t a)))
109.0ms	(/ z (/ t (sqrt (+ t a))))
242.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify698.0ms

Counts: 236 → 236

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
5.2b	(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
6.9b	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
22.2b	(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

436×	`associate-*l/`
326×	`associate-*r/`
307×	`flip3--` `flip--`
284×	`frac-sub`
222×	`frac-times`
84×	`associate-/l/`
50×	`add-exp-log` `add-cbrt-cube`
31×	`associate-l`
27×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`pow1`
12×	`cbrt-undiv` `div-exp` `sqrt-prod`
9×	`sub-neg`
8×	`associate--r+`
7×	`associate-/r/`
6×	`pow-prod-down` `add-log-exp`
3×	`distribute-lft-out` `associate-/l*`
2×	`sqrt-div` `associate-r` `*-commutative` `div-inv`
1×	`frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip-+` `difference-of-squares`

Counts

4 → 339

Calls

4 calls:

58.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
776.0ms	(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
608.0ms	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
828.0ms	(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series3.1s

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
1.1s	(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
381.0ms	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
1.5s	(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.0s

Counts: 351 → 351

prune5.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
1.2b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`associate-r`
7×	`add-sqr-sqrt`
6×	`exp-sum`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`diff-log` `sum-log`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

16.0ms	(+ (* a c) (* 0.8333333333333334 c))
102.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
78.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series211.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* a c) (* 0.8333333333333334 c))
86.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
57.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify1.8s

Counts: 59 → 59

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (2.5b remaining)

Error of 3.3b against oracle of 0.8b and baseline of 3.3b

bsearch0.0ms

simplify613.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.1s	7975×	body	80	nan
1.6s	8000×	body	80	valid