Details

sample71.0ms

Algorithm

intervals

Results

23.0ms	292×	body	80	nan
18.0ms	286×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.0b	(- z (log z))
0.0b	(- 1.0 (- z (log z)))
0.2b	(* (- 1.0 (- z (log z))) y)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

1.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
13.0ms	(- z (log z))
29.0ms	(- 1.0 (- z (log z)))
88.0ms	(* (- 1.0 (- z (log z))) y)

series728.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
251.0ms	(- z (log z))
280.0ms	(- 1.0 (- z (log z)))
118.0ms	(* (- 1.0 (- z (log z))) y)

simplify2.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
3	3668
2	1216
1	480
0	202

prune752.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
0.2b	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

57.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
12.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.6s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
868.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
229.0ms	(cbrt z)
284.0ms	(cbrt z)

simplify2.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	3845
2	1030
1	370
0	166

prune742.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series925.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt z)
256.0ms	(cbrt z)
260.0ms	(cbrt z)
199.0ms	(cbrt z)

simplify1.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
5	1405
4	449
3	196
2	96
1	46
0	26

prune499.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))) y)
0.2b	(- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))
0.6b	(cbrt z)
4.8b	(pow (/ 1 z) -1/3)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
26×	`unpow-prod-down`
18×	`times-frac`
17×	`log-prod` `associate--r+`
12×	`prod-diff`
11×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube` `associate-l`
5×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `distribute-lft-out--`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `fma-neg` `associate-r` `log-pow`
2×	`flip3--` `div-exp` `associate-*l/` `div-inv` `flip--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `rec-exp` `sub-neg` `pow1/3` `diff-log` `1-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

80.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))) y)
20.0ms	(- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))
1.0ms	(cbrt z)
10.0ms	(pow (/ 1 z) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))) y)
817.0ms	(- (fma -2 (log (cbrt z)) z) (log (pow (/ 1 z) -1/3)))
246.0ms	(cbrt z)
583.0ms	(pow (/ 1 z) -1/3)

simplify1.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5004
2	1892
1	680
0	270

prune924.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

788.0ms	9233×	body	80	valid
528.0ms	9175×	body	80	nan