Details

sample193.0ms

Algorithm

intervals

Results

96.0ms	885×	body	80	nan
26.0ms	298×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	509
1	38	509
2	99	509
3	401	509
4	1645	509
done	5000	509

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

616.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
2.4s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
18.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series1.3s

Counts

4 → 12

Calls

4 calls:

386.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
798.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
90.0ms	(* (- b 0.5) (log c))
63.0ms	(* x (log y))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	248	45606
1	672	40701
2	2867	40131
done	5002	39699

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

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` `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 → 73

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt y) (cbrt y))
283.0ms	(cbrt y)
249.0ms	(cbrt y)
230.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune931.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (pow y 2/3)) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `associate-r`
2×	`pow1/3` `log-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `distribute-rgt-out` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

13.0ms	(* (log (cbrt y)) x)
13.0ms	(+ (* (log (pow y 2/3)) x) (* (log (cbrt y)) x))
7.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (log (cbrt y)) x)
364.0ms	(+ (* (log (pow y 2/3)) x) (* (log (cbrt y)) x))
300.0ms	(cbrt y)
247.0ms	(pow y 2/3)

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	125	25347
1	330	16629
2	1492	15011
done	5000	14130

prune991.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt y)
286.0ms	(cbrt y)
271.0ms	(cbrt y)
257.0ms	(pow y 2/3)

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	57	13915
1	136	11184
2	504	10623
3	2535	9873
done	5001	9771

prune803.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes2.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	25	779
1	35	779
done	35	779

end0.0ms

sample8.4s

Algorithm

intervals

Results

4.3s	27695×	body	80	nan
1.7s	9186×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid