Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify582.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	48	8
4	86	8
5	133	8
6	171	8
7	197	8
8	231	8
9	317	8
10	427	8
11	494	8
12	583	8
13	608	8
done	608	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

4.2b	(fma (/ y a) (- z t) 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 a) (- z t) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify491.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	92	138
3	219	123
4	987	123
done	5002	123

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y (- z t)) a) x)
0.0b	(* y (- z t))
4.9b	(/ (* y (- z t)) a)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

13.0ms	(+ (/ (* y (- z t)) a) x)
11.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) a)

series138.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (/ (* y (- z t)) a) x)
35.0ms	(* y (- z t))
51.0ms	(/ (* y (- z t)) a)

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: 3 (772.0ms)

Iter	Nodes	Cost
0	170	1262
1	381	1061
2	1039	881
3	4905	817
done	5000	817

prune184.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
8.3b	(/ (- z t) (/ a y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

54.0ms	(+ (/ (- z t) (/ a y)) x)
14.0ms	(/ (- z t) (/ a y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (/ (- z t) (/ a y)) x)
42.0ms	(/ (- z t) (/ a y))

simplify689.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	224	1920
1	615	1786
2	1846	1697
done	5001	1697

prune498.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
4.9b	(/ (* (- z t) (* (cbrt y) (cbrt y))) (/ a (cbrt y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
25×	`add-exp-log`
22×	`associate-/r*`
18×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-*l/` `associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `associate-/l*`

Counts

4 → 111

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(/ (* (- z t) (* (cbrt y) (cbrt y))) (/ a (cbrt y)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
177.0ms	(cbrt y)
174.0ms	(cbrt y)
76.0ms	(/ (* (- z t) (* (cbrt y) (cbrt y))) (/ a (cbrt y)))

simplify794.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	188	1680
1	580	1592
2	2350	1222
done	5001	1222

prune368.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes289.0ms

Accuracy

71.6% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 4.2b

bsearch64.0ms

Steps

Iters	Range		Point
8	3.713066983026811e+65	6.642013340869958e+68	3.7574005919343346e+65
6	-2.6747694130275977e+104	-4.940402320025422e+103	-1.3995028580527438e+104

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	36
1	28	34
done	28	34

end0.0ms

sample614.0ms

Algorithm

intervals

Results

296.0ms

10663×

body

valid