Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	297×	body	80	valid
7.0ms	261×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6
done	1257	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

27.0ms	(+ (- 1.0 z) (log z))
21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
79.0ms	(* y (+ (- 1.0 z) (log z)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(+ (- 1.0 z) (log z))
61.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370
done	5002	370

prune145.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite602.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

432.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
166.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series908.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
363.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
181.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify41.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546
done	5002	546

prune270.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (* y (- 1.0 z)))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
0.3b	(* (log z) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

20.0ms	(* y (- 1.0 z))
9.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
32.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
8.0ms	(* (log z) y)

series205.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (- 1.0 z))
39.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
68.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
64.0ms	(* (log z) y)

simplify50.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	369	443
1	1760	411
2	5003	403
done	5003	403

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
5.1b	(* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z)))))
8.4b	(/ (* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z))))) (- (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))

rewrite876.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate--l+`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-cube-cbrt`
8×	`times-frac` `associate-/r*`
6×	`cbrt-prod` `sub-neg`
4×	`associate-r/` `associate-r*` `log-pow` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
416.0ms	(* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z)))))
454.0ms	(/ (* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z))))) (- (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
183.0ms	(cbrt z)
291.0ms	(* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z)))))
693.0ms	(/ (* y (- (* (- (+ (* 2 (log (cbrt z))) 1.0) z) (- (+ (* 2 (log (cbrt z))) 1.0) z)) (* (log (cbrt z)) (log (cbrt z))))) (- (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))

simplify111.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	719	2339
1	3713	1992
2	5002	1970
done	5002	1970

prune364.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7
done	17	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

316.0ms	9127×	body	80	valid
237.0ms	8983×	body	80	nan