Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	232×	body	80	nan
10.0ms	257×	body	80	valid

simplify4.5s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite81.0ms

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)
59.0ms	(- (- (* x (log y)) z) y)
9.0ms	(* x (log y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x (log y)) z)
40.0ms	(- (- (* x (log y)) z) y)
43.0ms	(* x (log y))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

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

prune302.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

15.0ms	(* x (log (cbrt y)))
42.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series746.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* x (log (cbrt y)))
145.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
203.0ms	(cbrt y)
255.0ms	(cbrt y)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	163	1298
1	464	1159
2	2024	920
done	5001	862

prune420.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
10.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series784.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
95.0ms	(* x (log (cbrt y)))
235.0ms	(cbrt y)
250.0ms	(cbrt y)

simplify2.1s

Counts

82 → 82

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	102	667
1	202	642
2	653	537
3	3147	474
done	5001	471

prune269.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt y)
10.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series1.4s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
362.0ms	(cbrt (cbrt y))
370.0ms	(cbrt (cbrt y))
409.0ms	(cbrt (cbrt y))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	46	419
1	82	400
2	193	370
3	658	358
4	2659	358
done	5000	358

prune520.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.4s

Algorithm

intervals

Results

546.0ms	8027×	body	80	valid
440.0ms	8135×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid