Details

sample89.0ms

Algorithm

intervals

Results

33.0ms	283×	body	80	valid
30.0ms	299×	body	80	nan

simplify5.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4795
9	3052
8	1531
7	1023
6	864
5	604
4	294
3	126
2	57
1	26
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log z) (- z 1.0))
0.1b	(fma y (- (log z) (- z 1.0)) (* 0.5 x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
29×	`add-sqr-sqrt` `prod-diff`
19×	`add-cube-cbrt`
11×	`associate--r+`
10×	`pow1` `distribute-lft-out--`
8×	`log-pow`
5×	`add-log-exp` `difference-of-squares`
4×	`fma-neg`
3×	`log-prod` `diff-log` `associate--l+`
2×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`flip3--` `fma-udef` `flip--` `associate--r-`

Counts

2 → 71

Calls

2 calls:

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

series292.0ms

Counts

2 → 6

Calls

2 calls:

219.0ms	(- (log z) (- z 1.0))
73.0ms	(fma y (- (log z) (- z 1.0)) (* 0.5 x))

simplify2.9s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2665
2	849
1	350
0	150

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

351.0ms	(* (cbrt z) (cbrt z))
374.0ms	(cbrt z)
306.0ms	(cbrt z)
243.0ms	(cbrt z)

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4244
3	1176
2	374
1	141
0	67

prune636.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0))) (* 0.5 x))
0.2b	(+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0)))
0.6b	(cbrt z)
6.0b	(pow z 2/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
34×	`associate-+r+`
32×	`add-sqr-sqrt`
25×	`prod-diff`
22×	`add-cube-cbrt`
13×	`log-prod` `log-pow`
12×	`pow1`
11×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`associate-+l+`
6×	`cbrt-prod` `unpow-prod-down` `pow1/3` `associate--l+`
5×	`add-exp-log` `distribute-lft-out` `difference-of-squares`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `sum-log` `diff-log`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `pow-pow` `flip3-+` `pow-exp` `flip-+` `fma-udef` `associate--r-`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma y (+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0))) (* 0.5 x))
67.0ms	(+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0)))
1.0ms	(cbrt z)
4.0ms	(pow z 2/3)

series2.3s

Counts

4 → 12

Calls

4 calls:

159.0ms	(fma y (+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0))) (* 0.5 x))
1.4s	(+ (log (pow z 2/3)) (- (log (cbrt z)) (- z 1.0)))
429.0ms	(cbrt z)
320.0ms	(pow z 2/3)

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1607
1	565
0	228

prune828.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (fma (log z) 2/3 (log (sqrt (cbrt z)))) (- (log (sqrt (cbrt z))) (- z 1.0)))
0.3b	(fma (log z) 2/3 (log (sqrt (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
47×	`associate-+r+`
36×	`add-sqr-sqrt`
35×	`prod-diff`
22×	`log-pow` `add-cube-cbrt`
16×	`pow1`
13×	`distribute-lft-out--`
11×	`add-log-exp`
10×	`sqrt-pow1`
9×	`cbrt-prod` `log-prod` `associate--l+`
7×	`pow1/3` `difference-of-squares`
6×	`sqrt-prod`
5×	`pow1/2` `distribute-lft-out`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `diff-log`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r-` `sub-neg` `flip3-+` `flip-+` `associate--r-`

Counts

4 → 112

Calls

4 calls:

71.0ms	(+ (fma (log z) 2/3 (log (sqrt (cbrt z)))) (- (log (sqrt (cbrt z))) (- z 1.0)))
0.0ms	(fma (log z) 2/3 (log (sqrt (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series2.6s

Counts

4 → 12

Calls

4 calls:

1.3s	(+ (fma (log z) 2/3 (log (sqrt (cbrt z)))) (- (log (sqrt (cbrt z))) (- z 1.0)))
683.0ms	(fma (log z) 2/3 (log (sqrt (cbrt z))))
319.0ms	(cbrt z)
286.0ms	(cbrt z)

simplify2.5s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
3	4248
2	1089
1	448
0	208

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	9174×	body	80	valid
1.0s	8830×	body	80	nan