Details

sample269.0ms

Algorithm

intervals

Results

115.0ms	933×	body	80	nan
30.0ms	296×	body	80	valid

simplify15.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	388	21
4	1231	21
5	3127	21
6	4656	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

950.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
46.0ms	(+ (+ (* x (log y)) z) t)
52.0ms	(* (- b 0.5) (log c))
14.0ms	(* x (log y))

series601.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
66.0ms	(+ (+ (* x (log y)) z) t)
82.0ms	(* (- b 0.5) (log c))
69.0ms	(* x (log y))

simplify1.2s

Counts

105 → 105

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	240	1648
1	609	1560
2	2253	1453
done	5000	1436

prune569.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*r/`
7×	`pow1` `distribute-rgt-in` `distribute-lft-in`
6×	`add-exp-log` `cbrt-prod` `log-prod` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg` `associate-+l+` `associate-+r+` `flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

17.0ms	(* x (log y))
39.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

45.0ms	(* x (log y))
449.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
299.0ms	(cbrt c)
284.0ms	(cbrt c)

simplify906.0ms

Counts

83 → 83

Iterations

Useful iterations: done (903.0ms)

Iter	Nodes	Cost
0	164	1074
1	433	918
2	1536	786
done	5001	740

prune632.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
5.2b	(pow (/ 1 c) -1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`pow1` `times-frac`
8×	`associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg` `associate-+l+` `associate-+r+` `flip3--` `associate-r` `frac-add` `pow-exp` `flip--`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* x (log y))
29.0ms	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
15.0ms	(pow (/ 1 c) -1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* x (log y))
747.0ms	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
310.0ms	(cbrt c)
287.0ms	(pow (/ 1 c) -1/3)

simplify1.0s

Counts

104 → 104

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	247	1457
1	616	1261
2	1978	1077
done	5001	1005

prune595.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* (* 2 (log (cbrt y))) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
22.0ms	(* (* 2 (log (cbrt y))) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series778.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (log (cbrt y)) x)
166.0ms	(* (* 2 (log (cbrt y))) x)
223.0ms	(cbrt y)
209.0ms	(cbrt y)

simplify3.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	88	525
1	196	493
2	712	406
3	2973	397
done	5001	397

prune398.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes712.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	33
1	43	33
done	43	33

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.6s	27590×	body	80	nan
1.8s	9177×	body	80	valid
0.0ms	1×	body	640	valid