Details

sample33.0ms

Algorithm

intervals

Results

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

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	52	11
3	100	11
4	183	11
5	268	11
6	349	11
7	496	11
8	739	11
9	960	11
10	1079	11
11	1086	11
done	1086	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

16.0ms	(+ (- 1.0 z) (log z))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(+ (- 1.0 z) (log z))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify2.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	110	693
1	283	634
2	831	529
3	3950	527
done	5001	527

prune180.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

11.0ms	(* y (- 1.0 z))
8.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series172.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* y (- 1.0 z))
96.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
43.0ms	(* y (log z))

simplify935.0ms

Counts

125 → 125

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	193	1648
1	423	1238
2	1143	1057
done	5000	985

prune284.0ms

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

rewrite9.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

3.0ms	(+ (* (fma 2 (log (cbrt z)) (- 1.0 z)) y) (* (log (cbrt z)) y))
3.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series720.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(+ (* (fma 2 (log (cbrt z)) (- 1.0 z)) y) (* (log (cbrt z)) y))
132.0ms	(* (log (cbrt z)) y)
186.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify2.3s

Counts

75 → 75

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	103	736
1	250	664
2	823	601
3	3702	500
done	5000	499

prune271.0ms

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

rewrite16.0ms

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×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
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` `fma-def` `flip3-+` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

3.0ms	(+ (* (fma 2 (log (pow (/ 1 z) -1/3)) (- 1.0 z)) y) (* (log (cbrt z)) y))
3.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series726.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ (* (fma 2 (log (pow (/ 1 z) -1/3)) (- 1.0 z)) y) (* (log (cbrt z)) y))
128.0ms	(* (log (cbrt z)) y)
185.0ms	(cbrt z)
183.0ms	(pow (/ 1 z) -1/3)

simplify511.0ms

Counts

96 → 96

Iterations

Useful iterations: done (508.0ms)

Iter	Nodes	Cost
0	184	1083
1	436	925
2	1162	802
done	5000	781

prune318.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes96.0ms

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

sample964.0ms

Algorithm

intervals

Results

329.0ms	9107×	body	80	valid
251.0ms	8940×	body	80	nan