Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	32	8
3	54	8
4	86	8
5	121	8
6	154	8
7	192	8
8	243	8
9	404	8
10	779	8
11	1241	8
12	2010	8
13	2991	8
done	5001	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ x y) (- z t) t)

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify460.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	89	138
3	214	123
4	942	123
done	5002	123

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ x y) (- z t) t))
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series271.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (/ x y) (- z t) t))
28.0ms	(fma (/ x y) (- z t) t)
30.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)

simplify1.5s

Counts

55 → 55

Iterations

Useful iterations: 4 (679.0ms)

Iter	Nodes	Cost
0	60	683
1	118	678
2	281	611
3	903	559
4	3998	546
done	5000	546

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)
2.0b	(fma (/ x y) (- z t) t)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series118.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
33.0ms	(fma (/ x y) (- z t) t)

simplify461.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	89	552
3	214	492
4	942	492
done	5002	492

prune177.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z t))
0.0b	(+ (/ x (/ y (- z t))) t)
6.1b	(/ x (/ y (- z t)))

rewrite92.0ms

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:

5.0ms	(/ y (- z t))
64.0ms	(+ (/ x (/ y (- z t))) t)
9.0ms	(/ x (/ y (- z t)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ y (- z t))
33.0ms	(+ (/ x (/ y (- z t))) t)
56.0ms	(/ x (/ y (- z t)))

simplify997.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	248	2339
1	550	2186
2	2023	2093
done	5000	2093

prune560.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

28.5% (1.6b remaining)

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

bsearch71.0ms

Steps

Iters	Range		Point
9	9.12822136199212e-35	1.1754375702567523e-29	4.2531001424521584e-33
8	-2.8786922797562166e+103	-2.3387264269526487e+99	-2.396557602064052e+99

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	38
1	26	38
done	26	38

end0.0ms

sample571.0ms

Algorithm

intervals

Results

297.0ms

10733×

body

valid