Details

sample160.0ms

Algorithm

intervals

Results

67.0ms	771×	body	80	nan
14.0ms	16×	body	1280	valid
13.0ms	178×	body	80	valid
11.0ms	25×	body	640	valid
8.0ms	31×	body	320	valid
1.0ms	7×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	769
7	237
6	112
5	77
4	60
3	52
2	38
1	22
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (log (- 1.0 y)) (* (log y) x))
0.2b	(* (log y) x)
4.6b	(log (- 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt`
5×	`log-prod` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `log-pow`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma z (log (- 1.0 y)) (* (log y) x))
6.0ms	(* (log y) x)
5.0ms	(log (- 1.0 y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(fma z (log (- 1.0 y)) (* (log y) x))
76.0ms	(* (log y) x)
52.0ms	(log (- 1.0 y))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1004
1	293
0	133

prune516.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
0.2b	(* (log y) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
6.0ms	(* (log y) x)

series222.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
84.0ms	(* (log y) x)

simplify2.5s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	3806
2	599
1	178
0	81

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
27.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.8s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (log y))
681.0ms	(cbrt (log y))
409.0ms	(cbrt (log y))
381.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	627
1	152
0	66

prune853.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
0.5b	(cbrt (* (log y) (log y)))
0.5b	(cbrt (log y))
0.5b	(* (log y) (log y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`add-exp-log`
8×	`add-cbrt-cube` `associate-l`
7×	`log-pow`
6×	`cbrt-prod` `log-prod` `swap-sqr`
5×	`associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow1/3` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

27.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
6.0ms	(cbrt (* (log y) (log y)))
1.0ms	(cbrt (log y))
12.0ms	(* (log y) (log y))

series999.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
394.0ms	(cbrt (* (log y) (log y)))
335.0ms	(cbrt (log y))
187.0ms	(* (log y) (log y))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1949
1	287
0	115

prune641.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes693.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.0s	24059×	body	80	nan
706.0ms	5561×	body	80	valid
521.0ms	867×	body	640	valid
467.0ms	411×	body	1280	valid
236.0ms	758×	body	320	valid
108.0ms	438×	body	160	valid