Details

sample107.0ms

Algorithm

intervals

Results

44.0ms	727×	body	80	nan
14.0ms	258×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (121.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	132	11
4	533	10
5	2300	10
done	5001	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`prod-diff`
19×	`add-cube-cbrt`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp`
5×	`log-pow`
4×	`associate--l+`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

7.0ms	(- (fma x (log y) (- (log t) z)) y)
10.0ms	(- (log t) z)
0.0ms	(fma x (log y) (- (log t) z))

series295.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (fma x (log y) (- (log t) z)) y)
109.0ms	(- (log t) z)
112.0ms	(fma x (log y) (- (log t) z))

simplify736.0ms

Counts

84 → 84

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	157	1257
1	358	1044
2	1067	872
done	5000	784

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt t)) (- (log (sqrt t)) z))
0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.1b	(fma x (log y) (+ (log (sqrt t)) (- (log (sqrt t)) z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
26×	`associate-+r+`
24×	`log-prod`
23×	`log-pow`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`pow1`
18×	`prod-diff`
12×	`sqrt-prod`
6×	`add-exp-log` `associate-+l+` `fma-def` `sqrt-pow1` `pow1/2` `associate--l+` `distribute-lft-out` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`rem-log-exp` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

4 → 107

Calls

4 calls:

49.0ms	(+ (log (sqrt t)) (- (log (sqrt t)) z))
4.0ms	(log (sqrt t))
4.0ms	(log (sqrt t))
1.0ms	(fma x (log y) (+ (log (sqrt t)) (- (log (sqrt t)) z)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (log (sqrt t)) (- (log (sqrt t)) z))
93.0ms	(log (sqrt t))
81.0ms	(log (sqrt t))
146.0ms	(fma x (log y) (+ (log (sqrt t)) (- (log (sqrt t)) z)))

simplify817.0ms

Counts

119 → 119

Iterations

Useful iterations: done (811.0ms)

Iter	Nodes	Cost
0	161	1279
1	366	1082
2	1123	937
done	5001	882

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:

12.0ms	(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))

series2.4s

Counts

4 → 12

Calls

4 calls:

656.0ms	(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
594.0ms	(cbrt (fma x (log y) (- (log t) z)))
557.0ms	(cbrt (fma x (log y) (- (log t) z)))
554.0ms	(cbrt (fma x (log y) (- (log t) z)))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	181	2817
1	551	2636
2	2756	2429
done	5001	2250

prune489.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))
0.6b	(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.6b	(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.6b	(cbrt (cbrt (fma x (log y) (- (log t) z))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

19.0ms	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))
1.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))
1.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))
2.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))

series2.1s

Counts

4 → 12

Calls

4 calls:

572.0ms	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))
486.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))
543.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))
535.0ms	(cbrt (cbrt (fma x (log y) (- (log t) z))))

simplify1.8s

Counts

116 → 116

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	206	3675
1	590	3479
2	3001	3288
done	5000	3090

prune727.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	23930×	body	80	nan
627.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid