Details

sample163.0ms

Algorithm

intervals

Results

53.0ms	256×	body	80	valid
38.0ms	289×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	106	33
3	373	33
4	1497	33
done	5001	33

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.8b	(/ 2.0 (* t 3.0))
3.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0b	(/ (* z (sqrt (+ t a))) t)

rewrite110.0ms

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:

26.0ms	(* z (sqrt (+ t a)))
8.0ms	(/ 2.0 (* t 3.0))
53.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms	(/ (* z (sqrt (+ t a))) t)

series463.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (sqrt (+ t a)))
18.0ms	(/ 2.0 (* t 3.0))
253.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
102.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.5s

Counts

113 → 113

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	344	2616
1	1015	2408
2	4357	2288
done	5000	2288

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt (+ t a)))
0.8b	(/ 2.0 (* t 3.0))
1.8b	(/ z (/ t (sqrt (+ t a))))
3.2b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite278.0ms

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:

25.0ms	(/ t (sqrt (+ t a)))
10.0ms	(/ 2.0 (* t 3.0))
21.0ms	(/ z (/ t (sqrt (+ t a))))
203.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series561.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/ t (sqrt (+ t a)))
29.0ms	(/ 2.0 (* t 3.0))
124.0ms	(/ z (/ t (sqrt (+ t a))))
287.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify922.0ms

Counts

236 → 236

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	495	4998
1	1342	4531
done	5000	4379

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2.0 (* t 3.0))
1.8b	(/ z (/ t (sqrt (+ t a))))
4.7b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
6.2b	(log (exp (/ 2.0 (* t 3.0))))

rewrite784.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
117×	`*-un-lft-identity`
93×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
28×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
9×	`associate-/r/`
8×	`sqrt-div` `log-pow` `frac-sub`
7×	`exp-prod` `flip3--` `flip--` `div-inv`
6×	`associate-/l*` `associate--r+` `add-log-exp`
5×	`pow1` `cbrt-undiv` `div-exp`
4×	`frac-times` `flip3-+` `flip-+`
3×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in`
2×	`frac-2neg` `associate-r/` `associate-l/` `associate--l+` `clear-num`
1×	`diff-log` `rem-log-exp` `prod-exp` `cbrt-unprod`

Counts

4 → 192

Calls

4 calls:

9.0ms	(/ 2.0 (* t 3.0))
23.0ms	(/ z (/ t (sqrt (+ t a))))
710.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
21.0ms	(log (exp (/ 2.0 (* t 3.0))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* t 3.0))
100.0ms	(/ z (/ t (sqrt (+ t a))))
262.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
29.0ms	(log (exp (/ 2.0 (* t 3.0))))

simplify2.2s

Counts

204 → 204

Iterations

Useful iterations: 2 (886.0ms)

Iter	Nodes	Cost
0	443	4154
1	1113	3639
2	4098	3505
done	5001	3505

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* c (+ a 0.8333333333333334))
0.0b	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
0.0b	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
1.4b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

41.0ms	(* c (+ a 0.8333333333333334))
19.0ms	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
71.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
31.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series360.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* c (+ a 0.8333333333333334))
184.0ms	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
75.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
57.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify3.0s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	174	1587
1	410	1536
2	1170	1405
3	4129	1401
done	5001	1401

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes594.0ms

Accuracy

68% (2.8b remaining)

Error of 3.3b against oracle of 0.5b and baseline of 9.2b

bsearch650.0ms

Steps

Iters	Range		Point
6	7.834735974299582e-09	3.472158895805298e-08	3.422950075620731e-08
9	-3.754832031543031e+25	-5.360487458593362e+19	-2.8157471329979646e+20

simplify19.0ms

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	56	145
1	77	111
done	77	111

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	8179×	body	80	nan
1.6s	8000×	body	80	valid