Details

sample50.0ms

Algorithm

intervals

Results

25.0ms

331×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	100	8
5	174	8
6	256	8
7	338	8
8	599	8
9	1151	8
10	3456	8
done	5000	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.2b	(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)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	282	123
4	2029	123
done	5002	123

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
5.6b	(/ (- z t) (/ a y))

rewrite153.0ms

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:

95.0ms	(+ (/ (- z t) (/ a y)) x)
39.0ms	(/ (- z t) (/ a y))

series130.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ (- z t) (/ a y)) x)
71.0ms	(/ (- z t) (/ a y))

simplify1.4s

Counts

194 → 194

Iterations

Useful iterations: 2 (440.0ms)

Iter	Nodes	Cost
0	224	1920
1	675	1808
2	3082	1697
done	5001	1697

prune706.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.4b	(/ (cbrt (- z t)) (/ a (cbrt y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
216×	`add-sqr-sqrt` `*-un-lft-identity`
205×	`cbrt-prod`
170×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`cbrt-div` `associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`

Counts

4 → 264

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
43.0ms	(/ (cbrt (- z t)) (/ a (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
255.0ms	(cbrt y)
301.0ms	(cbrt y)
266.0ms	(/ (cbrt (- z t)) (/ a (cbrt y)))

simplify575.0ms

Counts

276 → 276

Iterations

Useful iterations: done (558.0ms)

Iter	Nodes	Cost
0	405	5093
1	1036	4799
done	5001	4686

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
6.2b	(/ (* y (- z t)) a)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

34.0ms	(* y (- z t))
13.0ms	(+ x (/ (* y (- z t)) a))
44.0ms	(/ (* y (- z t)) a)

series186.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* y (- z t))
65.0ms	(+ x (/ (* y (- z t)) a))
69.0ms	(/ (* y (- z t)) a)

simplify1.7s

Counts

97 → 97

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	170	1262
1	436	1061
2	1787	905
done	5001	859

prune304.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes374.0ms

Accuracy

30.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	47
1	26	47
done	26	47

end0.0ms

sample1.3s

Algorithm

intervals

Results

633.0ms

10620×

body

valid