Details

sample149.0ms

Algorithm

intervals

Results

50.0ms	960×	body	80	nan
17.0ms	293×	body	80	valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8
done	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
18.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

707.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
91.0ms	(+ (fma x (log y) z) (+ t a))
386.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify76.0ms

Counts

63 → 63

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346
done	5001	346

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series883.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
212.0ms	(cbrt (fma x (log y) z))
212.0ms	(cbrt (fma x (log y) z))
213.0ms	(cbrt (fma x (log y) z))

simplify44.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	258	727
1	1032	672
2	5001	626
done	5001	626

prune495.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
2.0ms	(cbrt (cbrt (fma x (log y) z)))
6.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

series890.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (fma x (log y) z))
212.0ms	(cbrt (fma x (log y) z))
218.0ms	(cbrt (cbrt (fma x (log y) z)))
243.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

simplify131.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	288	535
1	917	492
2	4592	481
3	5001	481
done	5001	481

prune485.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma x (log y) z)))
0.5b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
0.6b	(cbrt (* (cbrt (fma x (log y) z)) (* (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))) (cbrt (cbrt (fma x (log y) z))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`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 → 54

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma x (log y) z)))
1.0ms	(cbrt (cbrt (fma x (log y) z)))
6.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
24.0ms	(cbrt (* (cbrt (fma x (log y) z)) (* (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))) (cbrt (cbrt (fma x (log y) z))))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (cbrt (fma x (log y) z)))
214.0ms	(cbrt (cbrt (fma x (log y) z)))
237.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
249.0ms	(cbrt (* (cbrt (fma x (log y) z)) (* (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))) (cbrt (cbrt (fma x (log y) z))))))

simplify97.0ms

Counts

66 → 66

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	242	760
1	724	686
2	3390	676
3	5001	648
done	5001	648

prune489.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes678.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8
done	19	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	27179×	body	80	nan
535.0ms	9181×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid