Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

342×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	47	8
4	85	8
5	135	8
6	176	8
7	207	8
8	249	8
9	347	8
10	459	8
11	524	8
12	591	8
13	648	8
14	688	8
15	834	8
16	1090	8
17	1424	8
18	2060	8
19	2705	8
20	2796	8
21	2802	8
done	2802	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (/ y t) (- z x) x)

simplify802.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	218	123
4	980	123
done	5000	123

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ (/ y (/ t (- z x))) x)
6.5b	(/ y (/ t (- z x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

6.0ms	(/ t (- z x))
66.0ms	(+ (/ y (/ t (- z x))) x)
10.0ms	(/ y (/ t (- z x)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ t (- z x))
36.0ms	(+ (/ y (/ t (- z x))) x)
63.0ms	(/ y (/ t (- z x)))

simplify873.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	248	2339
1	550	2186
2	1810	2093
done	5000	2093

prune646.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(* (cbrt t) (cbrt t))
1.3b	(/ y (/ (cbrt t) (- z x)))
4.7b	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

452×	`times-frac`
335×	`add-sqr-sqrt`
296×	`*-un-lft-identity`
208×	`add-cube-cbrt`
127×	`cbrt-prod`
119×	`associate-r`
89×	`add-exp-log`
42×	`distribute-lft-out--` `difference-of-squares`
36×	`div-exp` `associate-/r*`
35×	`add-cbrt-cube`
31×	`prod-exp`
18×	`cbrt-undiv`
16×	`associate-/r/` `unswap-sqr`
13×	`pow1` `associate-l` `cbrt-unprod`
10×	`div-inv`
7×	`flip3--` `pow1/3` `flip--`
6×	`rec-exp` `1-exp` `swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/l*`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 395

Calls

4 calls:

1.0ms	(cbrt t)
6.0ms	(* (cbrt t) (cbrt t))
14.0ms	(/ y (/ (cbrt t) (- z x)))
88.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt t)
240.0ms	(* (cbrt t) (cbrt t))
242.0ms	(/ y (/ (cbrt t) (- z x)))
116.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

simplify1.7s

Counts

407 → 407

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	531	7295
1	1539	6666
done	5000	5850

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ (/ 1 (/ (/ t (- z x)) y)) x)
0.7b	(/ 1 (/ (/ t (- z x)) y))
6.5b	(/ (/ t (- z x)) y)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

1296×	`times-frac`
712×	`*-un-lft-identity`
709×	`add-sqr-sqrt`
551×	`add-cube-cbrt`
206×	`fma-def`
79×	`distribute-lft-out--` `difference-of-squares`
75×	`associate-/r*`
54×	`associate-/r/`
37×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
26×	`flip3--` `flip--`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 662

Calls

4 calls:

7.0ms	(/ t (- z x))
169.0ms	(+ (/ 1 (/ (/ t (- z x)) y)) x)
27.0ms	(/ 1 (/ (/ t (- z x)) y))
13.0ms	(/ (/ t (- z x)) y)

series190.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ t (- z x))
32.0ms	(+ (/ 1 (/ (/ t (- z x)) y)) x)
58.0ms	(/ 1 (/ (/ t (- z x)) y))
68.0ms	(/ (/ t (- z x)) y)

simplify3.0s

Counts

674 → 674

Iterations

Useful iterations: 2 (2.3s)

Iter	Nodes	Cost
0	609	8817
1	1499	7860
2	3635	6780
done	5001	6780

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

29.6% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch96.0ms

Steps

Iters	Range		Point
10	3.056596725548563e-78	1.8363459203982186e-67	3.179604535548228e-75
9	-3.881068201361415e+84	-2.9724100060033024e+78	-3.1568940568519223e+78

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	37
1	25	30
done	25	30

end0.0ms

sample558.0ms

Algorithm

intervals

Results

286.0ms

10580×

body

valid