Details

sample196.0ms

Algorithm

intervals

Results

90.0ms	832×	body	80	nan
20.0ms	172×	body	80	valid
19.0ms	30×	body	640	valid
12.0ms	11×	body	1280	valid
10.0ms	26×	body	320	valid
4.0ms	19×	body	160	valid

simplify626.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	519
12	519
11	499
10	377
9	288
8	243
7	167
6	104
5	76
4	59
3	51
2	38
1	22
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (log (- 1.0 y)) (- (* (log y) x) t))
0.0b	(- (* (log y) x) t)
0.3b	(* (log y) x)
6.8b	(log (- 1.0 y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

0.0ms	(fma z (log (- 1.0 y)) (- (* (log y) x) t))
22.0ms	(- (* (log y) x) t)
14.0ms	(* (log y) x)
8.0ms	(log (- 1.0 y))

series438.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(fma z (log (- 1.0 y)) (- (* (log y) x) t))
113.0ms	(- (* (log y) x) t)
118.0ms	(* (log y) x)
79.0ms	(log (- 1.0 y))

simplify2.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3437
2	1009
1	399
0	177

prune690.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0)))
0.0b	(- (* (log y) x) t)
0.0b	(fma z (fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0))) (- (* (log y) x) t))
0.3b	(* (log y) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `prod-diff`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0)))
19.0ms	(- (* (log y) x) t)
0.0ms	(fma z (fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0))) (- (* (log y) x) t))
13.0ms	(* (log y) x)

series498.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0)))
143.0ms	(- (* (log y) x) t)
236.0ms	(fma z (fma -1/2 (* (/ y 1.0) (/ y 1.0)) (- (log 1.0) (* y 1.0))) (- (* (log y) x) t))
69.0ms	(* (log y) x)

simplify3.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2703
2	795
1	312
0	143

prune557.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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` `insert-posit16` `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 → 93

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
10.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.8s

Counts

4 → 12

Calls

4 calls:

540.0ms	(cbrt (log y))
410.0ms	(cbrt (log y))
438.0ms	(cbrt (log y))
387.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify3.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5010
4	4600
3	1273
2	401
1	152
0	68

prune669.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
0.4b	(cbrt (log y))
0.5b	(cbrt (* (log y) (log y)))
0.6b	(* (log y) (log y))

rewrite53.0ms

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` `insert-posit16` `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 → 88

Calls

4 calls:

30.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
2.0ms	(cbrt (log y))
6.0ms	(cbrt (* (log y) (log y)))
14.0ms	(* (log y) (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
389.0ms	(cbrt (log y))
433.0ms	(cbrt (* (log y) (log y)))
270.0ms	(* (log y) (log y))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	2780
2	919
1	290
0	119

prune596.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes493.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	23
1	23
0	20

end0.0ms

sample7.4s

Algorithm

intervals

Results

4.1s	24405×	body	80	nan
817.0ms	5666×	body	80	valid
563.0ms	831×	body	640	valid
499.0ms	400×	body	1280	valid
336.0ms	703×	body	320	valid
137.0ms	436×	body	160	valid