Details

sample88.0ms

Algorithm

intervals

Results

40.0ms	86×	body	1280	valid
13.0ms	42×	body	640	valid
12.0ms	172×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`log1p-expm1-u`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `expm1-log1p` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `expm1-udef` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(expm1 (* a x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(expm1 (* a x))

simplify2.7s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2980
3	881
2	231
1	74
0	31

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
17.3b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `expm1-log1p` `pow1/3` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 84

Calls

4 calls:

1.0ms	(expm1 (* a x))
32.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
12.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
22.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(expm1 (* a x))
58.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
54.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
45.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	2208
2	729
1	271
0	100

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
17.3b	(cbrt (expm1 (log1p (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow2` `swap-sqr` `pow-sqr`
2×	`*-commutative` `unswap-sqr`
1×	`expm1-log1p` `pow1/3` `pow3` `expm1-udef`

Counts

4 → 85

Calls

4 calls:

1.0ms	(expm1 (* a x))
32.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
17.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
2.0ms	(cbrt (expm1 (log1p (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(expm1 (* a x))
76.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
62.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
399.0ms	(cbrt (expm1 (log1p (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))

simplify3.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5010
3	3365
2	954
1	359
0	131

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))))
17.3b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
17.3b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
17.3b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow3` `rem-cbrt-cube`

Counts

4 → 54

Calls

4 calls:

14.0ms	(cbrt (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))))
22.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
22.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
22.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))))
59.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
43.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
61.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify1.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	1551
2	378
1	141
0	66

prune394.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2731×	body	1280	valid
562.0ms	787×	body	320	valid
438.0ms	1336×	body	640	valid
386.0ms	5435×	body	80	valid
47.0ms	368×	body	160	valid