Details

sample129.0ms

Algorithm

intervals

Results

52.0ms	918×	body	80	nan
17.0ms	286×	body	80	valid
0.0ms	1×	body	640	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	358	21
4	1139	21
5	2716	21
6	4064	21
done	5001	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite315.0ms

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:

291.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
4.0ms	(+ (* x (log y)) z)
12.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series381.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(+ (* x (log y)) z)
58.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify605.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	241	1624
1	608	1546
2	2010	1434
done	5000	1434

prune462.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series701.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
308.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
180.0ms	(cbrt c)
176.0ms	(cbrt c)

simplify545.0ms

Counts

90 → 90

Iterations

Useful iterations: done (542.0ms)

Iter	Nodes	Cost
0	188	1229
1	470	1127
2	1525	884
done	5001	870

prune499.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
0.6b	(cbrt c)
5.1b	(pow (/ 1 c) -1/3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
39×	`unpow-prod-down`
35×	`add-sqr-sqrt`
34×	`associate-+r+`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
22×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-exp-log`
9×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `pow-exp` `flip--`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `div-inv` `sqr-pow`
2×	`sub-neg` `div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

4.0ms	(* x (log y))
22.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
1.0ms	(cbrt c)
4.0ms	(pow (/ 1 c) -1/3)

series968.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (log y))
548.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
184.0ms	(cbrt c)
191.0ms	(pow (/ 1 c) -1/3)

simplify751.0ms

Counts

133 → 133

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	322	2135
1	767	1782
2	2186	1448
done	5001	1446

prune739.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt c)
5.1b	(pow (/ 1 c) -1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
9×	`add-exp-log` `cbrt-prod` `times-frac`
6×	`pow1`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow1/3`
2×	`div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt c)
4.0ms	(pow (/ 1 c) -1/3)

series739.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
182.0ms	(cbrt y)
189.0ms	(cbrt c)
182.0ms	(pow (/ 1 c) -1/3)

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 4 (442.0ms)

Iter	Nodes	Cost
0	118	524
1	234	449
2	406	415
3	824	399
4	2248	395
done	5000	395

prune428.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes467.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	44
1	50	44
done	50	44

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27556×	body	80	nan
578.0ms	9195×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid