Details

sample293.0ms

Algorithm

intervals

Results

167.0ms	1799×	body	80	nan
25.0ms	258×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	15	456
1	27	456
2	61	431
3	157	431
4	471	431
5	1804	431
done	5000	431

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `log-pow` `add-cube-cbrt` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `add-exp-log` `associate-+l-` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
20.0ms	(+ (log (+ x y)) (log z))

series270.0ms

Counts

2 → 6

Calls

2 calls:

154.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
116.0ms	(+ (log (+ x y)) (log z))

simplify2.9s

Counts

46 → 46

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	115	15071
1	266	14493
2	832	13992
3	4696	13908
done	5000	13898

prune494.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
0.5b	(fma 2 (log (cbrt z)) (log (+ y x)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 61

Calls

4 calls:

12.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

279.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
198.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
262.0ms	(cbrt z)
282.0ms	(cbrt z)

simplify1.2s

Counts

73 → 73

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	99	23591
1	213	20110
2	725	19510
done	5001	17537

prune878.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma 2 (* 1/3 (log z)) (log (+ y x)))
0.5b	(* (* 1/3 (log z)) (* 1/3 (log z)))
0.6b	(* (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))))
0.6b	(fma (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))) (* (* 1/3 (log z)) (- (* 1/3 (log z)) (fma 2 (* 1/3 (log z)) (log (+ y x))))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
18×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
14×	`add-sqr-sqrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod`
5×	`pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus`
2×	`pow2` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 97

Calls

4 calls:

0.0ms	(fma 2 (* 1/3 (log z)) (log (+ y x)))
48.0ms	(* (* 1/3 (log z)) (* 1/3 (log z)))
10.0ms	(* (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))))
1.0ms	(fma (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))) (* (* 1/3 (log z)) (- (* 1/3 (log z)) (fma 2 (* 1/3 (log z)) (log (+ y x))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma 2 (* 1/3 (log z)) (log (+ y x)))
288.0ms	(* (* 1/3 (log z)) (* 1/3 (log z)))
242.0ms	(* (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))))
526.0ms	(fma (fma 2 (* 1/3 (log z)) (log (+ y x))) (fma 2 (* 1/3 (log z)) (log (+ y x))) (* (* 1/3 (log z)) (- (* 1/3 (log z)) (fma 2 (* 1/3 (log z)) (log (+ y x))))))

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	182	39043
1	496	33429
2	2345	30846
done	5000	30466

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
19×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`log-div` `flip3-+` `associate-+l-` `flip-+`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `+-commutative` `sum-log`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
10.0ms	(+ (log (+ x y)) (log z))
10.0ms	(+ (log (+ x y)) (log z))
25.0ms	(+ (log (+ x y)) (log z))

series1.3s

Counts

4 → 12

Calls

4 calls:

984.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
114.0ms	(+ (log (+ x y)) (log z))
104.0ms	(+ (log (+ x y)) (log z))
126.0ms	(+ (log (+ x y)) (log z))

simplify3.7s

Counts

115 → 115

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	222	42274
1	605	38069
2	2385	36761
done	5001	36430

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes1.5s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	567
1	19	567
done	19	567

end0.0ms

sample11.4s

Algorithm

intervals

Results

7.6s	55994×	body	80	nan
896.0ms	8040×	body	80	valid