Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
13.0ms	230×	body	80	nan

simplify321.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune2.0ms

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	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`associate--l+`
16×	`add-cube-cbrt`
12×	`log-prod` `prod-diff`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`fma-neg` `diff-log` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

102.0ms	(- (- (* x (log y)) z) y)
24.0ms	(* x (log y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (- (* x (log y)) z) y)
62.0ms	(* x (log y))

simplify3.2s

Counts

74 → 74

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	149	881
1	303	773
2	615	656
3	1998	583
done	5000	547

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `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` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
39.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series917.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (log (cbrt y)) x)
158.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
266.0ms	(cbrt y)
307.0ms	(cbrt y)

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune584.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
0.3b	(* (log (cbrt y)) x)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite16.0ms

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`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
11.0ms	(* (log (cbrt y)) x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

242.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
147.0ms	(* (log (cbrt y)) x)
335.0ms	(cbrt y)
332.0ms	(cbrt y)

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	81	522
1	147	503
2	425	418
3	1459	353
done	5000	350

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
0.0b	(log (* (cbrt -1) (cbrt (- y))))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.5b	(cbrt (- y))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`pow1`
12×	`add-exp-log` `prod-diff`
10×	`cbrt-prod`
9×	`associate--l+` `add-cbrt-cube` `add-log-exp`
7×	`pow-prod-down`
6×	`associate-r` `log-pow`
5×	`log-prod` `pow1/3`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `fma-neg` `diff-log` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `rem-log-exp`
1×	`associate--l-` `neg-mul-1` `flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

260.0ms	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
19.0ms	(log (* (cbrt -1) (cbrt (- y))))
50.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
2.0ms	(cbrt (- y))

series1.1s

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
423.0ms	(log (* (cbrt -1) (cbrt (- y))))
269.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
261.0ms	(cbrt (- y))

simplify1.8s

Counts

109 → 109

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	176	1632
1	373	1500
2	1090	1269
done	5000	1137

prune432.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes161.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

559.0ms	8032×	body	80	valid
448.0ms	8085×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid