Details

sample192.0ms

Algorithm

intervals

Results

74.0ms	256×	body	80	valid
43.0ms	254×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1285
3	350
2	100
1	50
0	28

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize109.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.5b	(/ (* z (sqrt (+ t a))) t)

rewrite256.0ms

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:

99.0ms	(* z (sqrt (+ t a)))
39.0ms	(/ 2.0 (* t 3.0))
71.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms	(/ (* z (sqrt (+ t a))) t)

series923.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* z (sqrt (+ t a)))
32.0ms	(/ 2.0 (* t 3.0))
513.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
257.0ms	(/ (* z (sqrt (+ t a))) t)

simplify5.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	4325
1	1033
0	344

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize143.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.8b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.1b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite256.0ms

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×	`add-exp-log` `flip3--` `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:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
130.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
102.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt t)
363.0ms	(cbrt t)
202.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
427.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify3.4s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
1	1851
0	486

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize138.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))
2.1b	(- (/ (* 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)))))))
5.5b	(/ (* z (sqrt (+ t a))) t)
37.2b	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

285×	`times-frac`
182×	`add-sqr-sqrt`
146×	`add-cube-cbrt` `*-un-lft-identity`
92×	`frac-sub`
68×	`frac-times`
54×	`associate-*r/`
49×	`cbrt-div`
45×	`add-exp-log` `add-cbrt-cube`
43×	`swap-sqr` `associate-r` `associate-l`
24×	`associate-*l/`
22×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
20×	`cbrt-undiv` `div-exp`
17×	`div-inv`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
6×	`associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r*`
2×	`sqrt-div` `associate--l+` `associate-/l/`
1×	`cbrt-prod` `pow2` `frac-2neg` `pow-plus` `cube-unmult` `pow1/3` `diff-log` `pow-prod-down` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `rem-cbrt-cube` `associate-/l`

Counts

4 → 280

Calls

4 calls:

127.0ms	(* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))
184.0ms	(- (/ (* 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)))))))
30.0ms	(/ (* z (sqrt (+ t a))) t)
133.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

series865.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))
583.0ms	(- (/ (* 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)))))))
143.0ms	(/ (* z (sqrt (+ t a))) t)
90.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

simplify4.2s

Counts

292 → 292

Iterations

Iter	Nodes
done	5004
1	2586
0	778

prune5.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize163.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
6.1b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.4b	(log (exp (cbrt t)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-sub`
38×	`frac-times`
26×	`associate-*r/`
25×	`flip3--` `flip--`
20×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
7×	`log-pow`
6×	`exp-prod` `associate--r+` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in`
2×	`pow1/3` `associate--l+`
1×	`diff-log` `rem-log-exp`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
144.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
9.0ms	(log (exp (cbrt t)))

series1.6s

Counts

4 → 12

Calls

4 calls:

369.0ms	(cbrt t)
371.0ms	(cbrt t)
441.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
419.0ms	(log (exp (cbrt t)))

simplify3.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
1	1338
0	350

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes1.6s

Accuracy

58.6% (6.0b remaining)

Error of 7.4b against oracle of 1.4b and baseline of 15.8b

bsearch1.2s

Steps

Iters	Range		Point
9	2.2238449231937162e+103	2.034448203499024e+109	1.3923554744466305e+109
9	-4.202806028315349e+109	-1.2421686842599802e+103	-1.2611819773150732e+103

simplify69.0ms

Iterations

Iter	Nodes
done	85
1	85
0	63

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.7s	8000×	body	80	valid
2.5s	8015×	body	80	nan