Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
7.0ms	273×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	47	12
3	85	12
4	146	12
5	197	12
6	272	12
7	381	12
8	582	12
9	876	12
10	941	12
11	942	12
done	942	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

14.0ms	(+ (- 1.0 z) (log z))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series243.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify399.0ms

Counts

54 → 54

Iterations

Useful iterations: done (394.0ms)

Iter	Nodes	Cost
0	95	529
1	252	501
2	960	444
done	5000	443

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.2b	(+ (* (- 1.0 z) y) (* y (log z)))
0.3b	(* y (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
8×	`pow1` `associate-l`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`add-log-exp`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

10.0ms	(* (- 1.0 z) y)
6.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
4.0ms	(* y (log z))

series160.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- 1.0 z) y)
93.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
37.0ms	(* y (log z))

simplify581.0ms

Counts

73 → 73

Iterations

Useful iterations: done (579.0ms)

Iter	Nodes	Cost
0	129	708
1	313	643
2	1231	558
done	5001	556

prune184.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (+ (- 1.0 z) (* 2 (log (cbrt z)))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

14.0ms	(+ (* (+ (- 1.0 z) (* 2 (log (cbrt z)))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series631.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* (+ (- 1.0 z) (* 2 (log (cbrt z)))) y) (* (log (cbrt z)) y))
119.0ms	(* (log (cbrt z)) y)
179.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify2.7s

Counts

66 → 66

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	98	697
1	243	633
2	837	518
3	4464	453
done	5000	450

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (+ (- 1.0 z) (* 2 (log (pow (/ 1 z) -1/3)))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
4.9b	(pow (/ 1 z) -1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

16.0ms	(+ (* (+ (- 1.0 z) (* 2 (log (pow (/ 1 z) -1/3)))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series684.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (* (+ (- 1.0 z) (* 2 (log (pow (/ 1 z) -1/3)))) y) (* (log (cbrt z)) y))
117.0ms	(* (log (cbrt z)) y)
174.0ms	(cbrt z)
170.0ms	(pow (/ 1 z) -1/3)

simplify768.0ms

Counts

87 → 87

Iterations

Useful iterations: done (766.0ms)

Iter	Nodes	Cost
0	177	1032
1	429	894
2	1409	762
done	5000	745

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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	12	14
1	17	14
done	17	14

end0.0ms

sample933.0ms

Algorithm

intervals

Results

318.0ms	9107×	body	80	valid
247.0ms	8940×	body	80	nan