Details

sample78.0ms

Algorithm

intervals

Results

24.0ms	257×	body	80	valid
13.0ms	255×	body	80	nan

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	51	8
4	96	8
5	213	8
6	474	8
7	1302	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

10.0ms	(- (* x (log y)) z)
103.0ms	(- (- (* x (log y)) z) y)
9.0ms	(* x (log y))

series180.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (log y)) z)
60.0ms	(- (- (* x (log y)) z) y)
48.0ms	(* x (log y))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	172	1162
1	428	998
2	1477	877
done	5002	824

prune472.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (log (sqrt y)) x) z) y)
0.0b	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
0.3b	(* (log (sqrt y)) x)
0.3b	(* (log (sqrt y)) x)

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`prod-diff`
23×	`add-cube-cbrt`
18×	`add-log-exp`
16×	`associate-+r+`
12×	`pow1` `associate-l`
10×	`associate--l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`diff-log` `associate-r` `log-pow`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`fma-neg` `sum-log`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+r-` `flip3--` `fma-def` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

77.0ms	(- (- (* (log (sqrt y)) x) z) y)
140.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
26.0ms	(* (log (sqrt y)) x)
18.0ms	(* (log (sqrt y)) x)

series538.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (- (* (log (sqrt y)) x) z) y)
126.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
182.0ms	(* (log (sqrt y)) x)
143.0ms	(* (log (sqrt y)) x)

simplify1.8s

Counts

126 → 126

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	180	1882
1	474	1607
2	1825	1374
done	5000	1242

prune748.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(- (- (* (log (sqrt y)) x) z) y)
0.0b	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
0.3b	(* (log (sqrt y)) x)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(log (sqrt y))
92.0ms	(- (- (* (log (sqrt y)) x) z) y)
1.0ms	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
19.0ms	(* (log (sqrt y)) x)

series552.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(log (sqrt y))
94.0ms	(- (- (* (log (sqrt y)) x) z) y)
183.0ms	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
164.0ms	(* (log (sqrt y)) x)

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	179	1257
1	414	1145
2	1495	961
done	5000	878

prune588.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
0.3b	(* (+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y)))) x)
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
27×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`associate-+l+`
15×	`sqrt-prod`
9×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
8×	`pow1`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u`
3×	`associate-r`
2×	`distribute-lft1-in` `flip3-+` `pow1/3` `associate-*l/` `log-pow` `flip-+`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

34.0ms	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
80.0ms	(* (+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y)))) x)
3.0ms	(cbrt (sqrt y))
3.0ms	(cbrt (sqrt y))

series961.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
174.0ms	(* (+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y)))) x)
211.0ms	(cbrt (sqrt y))
232.0ms	(cbrt (sqrt y))

simplify1.0s

Counts

113 → 113

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	157	1322
1	373	1023
2	1270	892
done	5001	872

prune863.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	23
1	20	23
done	20	23

end0.0ms

sample2.2s

Algorithm

intervals

Results

909.0ms	8024×	body	80	valid
458.0ms	8035×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid