Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

271×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8
done	49	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.5b	(/ (* y z) t)
6.7b	(/ (* y b) t)
12.3b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

30.0ms	(+ (+ a 1.0) (/ (* y b) t))
10.0ms	(/ (* y z) t)
9.0ms	(/ (* y b) t)
67.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y z) t)
20.0ms	(/ (* y b) t)
106.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Counts

118 → 118

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841
done	5001	841

prune293.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
5.4b	(/ y (/ t z))
6.7b	(/ (* y b) t)
12.3b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
98×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `associate-/r/` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+` `prod-exp` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
8.0ms	(/ y (/ t z))
9.0ms	(/ (* y b) t)
101.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ a 1.0) (/ (* y b) t))
19.0ms	(/ y (/ t z))
20.0ms	(/ (* y b) t)
230.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify70.0ms

Counts

167 → 167

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	675	1274
1	2879	1201
2	5001	1201
done	5001	1201

prune461.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
3.2b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.4b	(/ y (/ t z))
12.3b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
102×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
78×	`add-cube-cbrt`
34×	`add-exp-log`
28×	`associate-r`
27×	`cbrt-prod`
25×	`add-cbrt-cube`
16×	`associate-/r*`
13×	`pow1` `associate-l`
11×	`cbrt-undiv` `div-exp`
10×	`unswap-sqr`
9×	`prod-exp` `associate-/r/` `cbrt-unprod`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1/3` `swap-sqr` `frac-add`
5×	`flip3-+` `flip-+`
4×	`distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/`
2×	`frac-2neg` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `pow-plus`

Counts

4 → 210

Calls

4 calls:

10.0ms	(* (cbrt t) (cbrt t))
41.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
8.0ms	(/ y (/ t z))
94.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series739.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt t) (cbrt t))
47.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
23.0ms	(/ y (/ t z))
475.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify42.0ms

Counts

222 → 222

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1032	2074
1	5002	1913
done	5002	1913

prune722.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
3.2b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.6b	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
12.3b	(/ (+ x (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

407×	`times-frac`
210×	`add-sqr-sqrt`
194×	`*-un-lft-identity`
186×	`add-cube-cbrt`
99×	`cbrt-prod`
50×	`add-exp-log`
35×	`div-inv`
34×	`add-cbrt-cube`
28×	`associate-r`
25×	`associate-/r*`
21×	`cbrt-undiv` `div-exp`
13×	`pow1` `associate-l`
11×	`prod-exp` `cbrt-unprod` `associate-/l*`
10×	`unswap-sqr`
9×	`associate-/r/`
6×	`pow1/3` `swap-sqr` `frac-add`
5×	`flip3-+` `flip-+`
4×	`distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/l/`
2×	`frac-2neg` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 347

Calls

4 calls:

10.0ms	(* (cbrt t) (cbrt t))
42.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
25.0ms	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
211.0ms	(/ (+ x (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt t) (cbrt t))
46.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
51.0ms	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
305.0ms	(/ (+ x (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify78.0ms

Counts

359 → 359

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1754	4931
1	5001	4705
done	5001	4705

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

regimes381.0ms

Accuracy

10.4% (3.7b remaining)

Error of 14.3b against oracle of 10.7b and baseline of 14.8b

bsearch106.0ms

Steps

Iters	Range		Point
7	7.020919925448466e+107	1.192412249667265e+110	7.190428894095414e+107
9	-2.232697092575099e+129	-4.589090362445052e+121	-5.309289604935399e+121

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	41
1	54	41
done	54	41

end0.0ms

sample771.0ms

Algorithm

intervals

Results

355.0ms

8321×

body

valid