Details

sample64.0ms

Algorithm

intervals

Results

18.0ms	290×	body	80	valid
14.0ms	287×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`prod-diff`
8×	`pow1` `distribute-lft-out`
7×	`associate-r`
5×	`fma-def` `distribute-lft-out--` `add-log-exp`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `sum-log` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 66

Calls

2 calls:

69.0ms	(+ (- 1.0 z) (log z))
180.0ms	(* y (+ (- 1.0 z) (log z)))

series417.0ms

Counts

2 → 6

Calls

2 calls:

288.0ms	(+ (- 1.0 z) (log z))
129.0ms	(* y (+ (- 1.0 z) (log z)))

simplify4.3s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	110	693
1	282	634
2	883	529
3	4510	527
done	5000	527

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 71

Calls

3 calls:

38.0ms	(* (- 1.0 z) y)
19.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
10.0ms	(* y (log z))

series252.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- 1.0 z) y)
133.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
60.0ms	(* y (log z))

simplify4.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	135	752
1	325	671
2	1021	597
3	4521	582
done	5000	582

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

8.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
15.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series997.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
167.0ms	(* (log (cbrt z)) y)
270.0ms	(cbrt z)
308.0ms	(cbrt z)

simplify2.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (969.0ms)

Iter	Nodes	Cost
0	102	660
1	210	635
2	659	551
3	2516	519
done	5000	519

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
0.2b	(* (log (pow (/ 1 z) -1/3)) y)
0.6b	(cbrt z)
4.8b	(pow (/ 1 z) -1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `unpow-prod-down`
10×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
9.0ms	(* (log (pow (/ 1 z) -1/3)) y)
1.0ms	(cbrt z)
8.0ms	(pow (/ 1 z) -1/3)

series866.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
148.0ms	(* (log (pow (/ 1 z) -1/3)) y)
260.0ms	(cbrt z)
250.0ms	(pow (/ 1 z) -1/3)

simplify3.5s

Counts

100 → 100

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	178	1002
1	368	893
2	991	726
3	4448	660
done	5000	660

prune442.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	9126×	body	80	valid
492.0ms	8816×	body	80	nan