Details

sample240.0ms

Algorithm

intervals

Results

110.0ms	957×	body	80	nan
25.0ms	304×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	399	21
4	1689	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

19.0ms	(+ (* x (log y)) z)
942.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
36.0ms	(* (- b 0.5) (log c))
17.0ms	(* x (log y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* x (log y)) z)
379.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
107.0ms	(* (- b 0.5) (log c))
51.0ms	(* x (log y))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	241	1624
1	643	1546
2	2495	1436
done	5000	1414

prune672.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

25.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt y) (cbrt y))
283.0ms	(cbrt y)
259.0ms	(cbrt y)
296.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune578.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt y) (cbrt y))
322.0ms	(cbrt y)
252.0ms	(cbrt y)
325.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	135	788
1	375	620
2	1571	592
done	5002	580

prune799.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
3.9b	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
5.2b	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

43×	`unpow-prod-down`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
22×	`cbrt-prod`
18×	`times-frac`
17×	`add-exp-log`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-pow` `div-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-flip` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
12.0ms	(* (cbrt -1/3) (cbrt -1/3))
8.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
27.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series1.5s

Counts

4 → 10

Calls

4 calls:

319.0ms	(cbrt y)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
451.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
766.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify3.2s

Counts

130 → 130

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	186	1726
1	620	1380
2	3929	1300
done	5000	1293

prune911.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes654.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	41
1	44	41
done	44	41

end0.0ms

sample9.7s

Algorithm

intervals

Results

5.0s	27905×	body	80	nan
1.2s	9236×	body	80	valid
1.0ms	3×	body	320	valid