Details

sample71.0ms

Algorithm

intervals

Results

31.0ms	82×	body	1280	valid
11.0ms	195×	body	80	valid
9.0ms	36×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	17×	body	160	valid

simplify5.5s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

Slowest

0.0ms

(expm1 (* a x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

35.0ms

(expm1 (* a x))

simplify552.0ms

Counts: 15 → 15

prune117.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite37.0ms

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:

Slowest

18.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
11.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
6.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

51.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
39.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
37.0ms	(expm1 (* a x))
35.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify1.1s

Counts: 96 → 96

prune931.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

19.1b	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
10.0b	(cbrt (expm1 (* a x)))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
0.2b	(* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (expm1 (* a x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

Slowest

17.0ms	(* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (expm1 (* a x))))
6.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
3.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
132.0ms	(cbrt (expm1 (* a x)))
65.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
47.0ms	(* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (expm1 (* a x))))

simplify1.8s

Counts: 96 → 96

prune905.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

21.6b	(log (* (expm1 (* a x)) (expm1 (* a x))))
19.1b	(cbrt (exp (log (* (expm1 (* a x)) (expm1 (* a x))))))
10.0b	(cbrt (expm1 (* a x)))
1.4b	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
12×	`log-pow`
9×	`exp-prod`
7×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`pow2` `pow-plus` `pow1/3` `rem-log-exp` `exp-sum` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`prod-exp` `rem-exp-log`

Counts

4 → 69

Calls

4 calls:

Slowest

22.0ms	(cbrt (exp (log (* (expm1 (* a x)) (expm1 (* a x))))))
13.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))
6.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(cbrt (exp (log (* (expm1 (* a x)) (expm1 (* a x))))))
115.0ms	(cbrt (expm1 (* a x)))
87.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))
45.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))

simplify964.0ms

Counts: 81 → 81

prune984.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2718×	body	1280	valid
769.0ms	1264×	body	640	valid
407.0ms	5550×	body	80	valid
157.0ms	756×	body	320	valid
48.0ms	395×	body	160	valid