Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	299×	body	80	valid
7.0ms	271×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	52	11
3	100	11
4	185	11
5	270	11
6	351	11
7	498	11
8	760	11
9	995	11
10	1115	11
11	1121	11
done	1121	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite43.0ms

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))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
99.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

44 → 44

Iterations

Useful iterations: 3 (370.0ms)

Iter	Nodes	Cost
0	93	533
1	236	502
2	655	441
3	2467	433
done	5001	433

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(* y (- 1.0 z))
10.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series289.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
41.0ms	(* y (- 1.0 z))
115.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
53.0ms	(* y (log z))

simplify1.3s

Counts

138 → 138

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	218	1876
1	475	1431
2	1272	1226
done	5001	1150

prune395.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite40.0ms

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×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 72

Calls

4 calls:

32.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series798.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
155.0ms	(* (log (cbrt z)) y)
206.0ms	(cbrt z)
207.0ms	(cbrt z)

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	117	745
1	293	693
2	924	606
3	3968	572
done	5001	572

prune361.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (pow (/ 1 z) -1/3))) (- 1.0 z)))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
5.0b	(pow (/ 1 z) -1/3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `unpow-prod-down`
11×	`pow1`
9×	`times-frac`
8×	`associate-l` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `rec-exp` `pow-flip` `distribute-lft-in` `flip3-+` `1-exp` `flip-+` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

32.0ms	(* y (+ (* 2 (log (pow (/ 1 z) -1/3))) (- 1.0 z)))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series757.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* y (+ (* 2 (log (pow (/ 1 z) -1/3))) (- 1.0 z)))
159.0ms	(* (log (cbrt z)) y)
208.0ms	(cbrt z)
204.0ms	(pow (/ 1 z) -1/3)

simplify848.0ms

Counts

105 → 105

Iterations

Useful iterations: done (845.0ms)

Iter	Nodes	Cost
0	197	1107
1	469	974
2	1298	798
done	5001	796

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	21	19
done	21	19

end0.0ms

sample995.0ms

Algorithm

intervals

Results

340.0ms	9189×	body	80	valid
269.0ms	9182×	body	80	nan