Details

sample228.0ms

Algorithm

intervals

Results

122.0ms	750×	body	80	nan
27.0ms	190×	body	80	valid
12.0ms	17×	body	640	valid
11.0ms	8×	body	1280	valid
9.0ms	22×	body	320	valid
6.0ms	21×	body	160	valid

simplify7.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))
7.5b	(log (- 1.0 y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
29.0ms	(- (* (- x 1.0) (log y)) t)
34.0ms	(* (- x 1.0) (log y))
9.0ms	(log (- 1.0 y))

series524.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
104.0ms	(- (* (- x 1.0) (log y)) t)
95.0ms	(* (- x 1.0) (log y))
66.0ms	(log (- 1.0 y))

simplify3.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4477
2	1375
1	513
0	217

prune719.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.1b	(* (- x 1.0) (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--l+`
5×	`add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

28.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
33.0ms	(* (- x 1.0) (log y))

series440.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* (- x 1.0) (log y)) t)
264.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
107.0ms	(* (- x 1.0) (log y))

simplify2.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	3722
2	1070
1	407
0	172

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

25.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))

series545.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
149.0ms	(cbrt (- x 1.0))
127.0ms	(cbrt (- x 1.0))
126.0ms	(cbrt (- x 1.0))

simplify1.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
3	2852
2	1036
1	411
0	173

prune898.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (cbrt (- x 1.0)))
0.3b	(cbrt (cbrt (- x 1.0)))
0.3b	(cbrt (cbrt (- x 1.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`cbrt-div`
11×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (cbrt (- x 1.0)))
3.0ms	(cbrt (cbrt (- x 1.0)))
3.0ms	(cbrt (cbrt (- x 1.0)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (- x 1.0))
147.0ms	(cbrt (cbrt (- x 1.0)))
148.0ms	(cbrt (cbrt (- x 1.0)))
126.0ms	(cbrt (cbrt (- x 1.0)))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2855
2	934
1	353
0	156

prune874.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes684.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.7s	23832×	body	80	nan
1.5s	778×	body	640	valid
999.0ms	5868×	body	80	valid
368.0ms	253×	body	1280	valid
309.0ms	682×	body	320	valid
180.0ms	445×	body	160	valid