Details

sample49.0ms

Algorithm

intervals

Results

11.0ms	258×	body	80	valid
10.0ms	283×	body	80	nan

simplify6.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3919
5	1752
4	591
3	184
2	61
1	21
0	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
16×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-cbrt-cube` `diff-log` `add-exp-log`
4×	`sum-log` `associate-r` `associate-l`
3×	`distribute-rgt-in` `distribute-lft-in` `insert-posit16` `distribute-lft-out`
2×	`associate-+l+` `sub-neg` `flip3-+` `associate-*l/` `associate-+l-` `flip-+` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

236.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
48.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
40.0ms	(* (+ y 0.5) (log y))

series614.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
102.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
379.0ms	(* (+ y 0.5) (log y))

simplify2.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
2	1113
1	391
0	151

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
22.0ms	(* (cbrt y) (cbrt y))

series1.4s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt y)
355.0ms	(cbrt y)
334.0ms	(cbrt y)
371.0ms	(* (cbrt y) (cbrt y))

simplify8.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
4	3720
3	1027
2	352
1	137
0	63

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize157.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
5.0b	(pow y 1/3)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

3.0ms	(cbrt y)
3.0ms	(cbrt y)
32.0ms	(* (cbrt y) (cbrt y))
7.0ms	(pow y 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt y)
338.0ms	(cbrt y)
354.0ms	(* (cbrt y) (cbrt y))
307.0ms	(pow y 1/3)

simplify6.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	3786
3	1323
2	556
1	248
0	92

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ y 0.5))
0.3b	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
0.3b	(* (cbrt (+ y 0.5)) (log y))
0.7b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
40×	`*-un-lft-identity`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`add-sqr-sqrt`
33×	`cbrt-prod`
32×	`frac-times`
26×	`pow1`
22×	`add-cube-cbrt`
20×	`add-exp-log`
18×	`log-prod`
15×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
12×	`associate-r`
11×	`add-cbrt-cube` `pow-prod-down`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 163

Calls

4 calls:

13.0ms	(cbrt (+ y 0.5))
153.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
48.0ms	(* (cbrt (+ y 0.5)) (log y))
91.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series951.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ y 0.5))
372.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
226.0ms	(* (cbrt (+ y 0.5)) (log y))
204.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify4.2s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	2427
1	901
0	315

prune2.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

604.0ms	8068×	body	80	nan
589.0ms	8039×	body	80	valid