Details

sample65.0ms

Algorithm

intervals

Results

18.0ms	304×	body	80	valid
14.0ms	283×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	124	11
4	355	11
5	1056	11
6	2596	11
7	4834	11
done	5000	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
7×	`associate-r`
6×	`pow1` `add-sqr-sqrt`
4×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out`
3×	`associate-l`
2×	`expm1-log1p-u` `associate-*r/` `log-pow` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
108.0ms	(* y (+ (- 1.0 z) (log z)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
107.0ms	(* y (+ (- 1.0 z) (log z)))

simplify833.0ms

Counts

44 → 44

Iterations

Useful iterations: done (831.0ms)

Iter	Nodes	Cost
0	93	533
1	262	504
2	1012	437
done	5001	433

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* (log z) y)))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* (log z) y))
0.3b	(* (log z) y)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`prod-diff`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `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-+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

1.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* (log z) y)))
29.0ms	(* y (- 1.0 z))
29.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
11.0ms	(* (log z) y)

series405.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* (log z) y)))
53.0ms	(* y (- 1.0 z))
136.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
94.0ms	(* (log z) y)

simplify2.2s

Counts

125 → 125

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	199	1739
1	509	1367
2	2148	1143
done	5000	1112

prune569.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
0.5b	(cbrt (* (log z) y))
0.5b	(cbrt (* (log z) y))
0.5b	(cbrt (* (log z) y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

31.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
7.0ms	(cbrt (* (log z) y))
7.0ms	(cbrt (* (log z) y))
5.0ms	(cbrt (* (log z) y))

series714.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
159.0ms	(cbrt (* (log z) y))
167.0ms	(cbrt (* (log z) y))
176.0ms	(cbrt (* (log z) y))

simplify618.0ms

Counts

78 → 78

Iterations

Useful iterations: done (616.0ms)

Iter	Nodes	Cost
0	93	824
1	221	744
2	811	657
done	5001	596

prune413.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log z))
0.5b	(cbrt (* (log z) y))
0.5b	(cbrt (* (log z) y))
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt (log z))
4.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))
1.0ms	(cbrt y)

series992.0ms

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt (log z))
180.0ms	(cbrt (* (log z) y))
159.0ms	(cbrt (* (log z) y))
274.0ms	(cbrt y)

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	80	409
1	147	393
2	407	350
3	1532	309
done	5000	299

prune334.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes217.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	9182×	body	80	nan
882.0ms	9185×	body	80	valid