Details

sample186.0ms

Algorithm

intervals

Results

68.0ms	256×	body	80	valid
43.0ms	254×	body	80	nan

simplify2.4s

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

localize102.0ms

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)

rewrite173.0ms

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:

43.0ms	(* z (sqrt (+ t a)))
17.0ms	(/ 2.0 (* t 3.0))
76.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
30.0ms	(/ (* z (sqrt (+ t a))) t)

series672.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* z (sqrt (+ t a)))
34.0ms	(/ 2.0 (* t 3.0))
356.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
153.0ms	(/ (* z (sqrt (+ t a))) t)

simplify5.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	4325
1	1033
0	344

prune5.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize327.0ms

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)))))

rewrite289.0ms

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)
154.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
113.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series4.1s

Counts

4 → 12

Calls

4 calls:

579.0ms	(cbrt t)
784.0ms	(cbrt t)
887.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.9s	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify5.0s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
1	1851
0	486

prune7.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize888.0ms

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))))

rewrite842.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
68×	`frac-times`
49×	`cbrt-div`
45×	`add-exp-log` `add-cbrt-cube`
40×	`associate-*r/`
38×	`associate-*l/`
22×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
16×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
15×	`times-frac`
14×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`pow1`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`associate--r+` `add-log-exp`
5×	`div-inv`
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` `pow1/3` `diff-log` `pow3` `pow-prod-down` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `rem-cbrt-cube` `associate-/l` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

85.0ms	(* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))
165.0ms	(- (/ (* 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)))))))
98.0ms	(/ (* z (sqrt (+ t a))) t)
463.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))
790.0ms	(- (/ (* 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)))))))
164.0ms	(/ (* z (sqrt (+ t a))) t)
78.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

simplify5.7s

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
1	1626
0	548

prune7.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize525.0ms

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)))

rewrite417.0ms

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:

144.0ms	(cbrt t)
2.0ms	(cbrt t)
218.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.0ms	(log (exp (cbrt t)))

series4.1s

Counts

4 → 12

Calls

4 calls:

777.0ms	(cbrt t)
881.0ms	(cbrt t)
1.3s	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.1s	(log (exp (cbrt t)))

simplify5.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
1	1338
0	350

prune3.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes1.9s

Accuracy

57.9% (6.1b remaining)

Error of 7.5b against oracle of 1.4b and baseline of 15.8b

bsearch1.8s

Steps

Iters	Range		Point
9	1.5749077367988717e-107	2.41836354247976e-98	1.1738128330667566e-103
9	-3.2550476318787976e-78	-1.5796926894570747e-86	-3.196973635547551e-78

simplify138.0ms

Iterations

Iter	Nodes
done	102
1	102
0	76

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.9s	8000×	body	80	valid
4.9s	8015×	body	80	nan