Details

sample44.0ms

Algorithm

intervals

Results

21.0ms	92×	body	1280	valid
6.0ms	39×	body	640	valid
6.0ms	169×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid

simplify61.0ms

Calls

1 calls:

Slowest

61.0ms

(- (exp (* a x)) 1)

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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`

Calls

1 calls:

Slowest

1.0ms

(expm1 (* a x))

series57.0ms

Calls

1 calls:

Slowest

57.0ms

(expm1 (* a x))

simplify379.0ms

Calls

4 calls:

Slowest

193.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
98.0ms	(- (exp (* a x)) 1)
77.0ms	(- (exp (* a x)) 1)
5.0ms	(* a x)

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `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`

Calls

4 calls:

Slowest

16.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series514.0ms

Calls

4 calls:

Slowest

155.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
123.0ms	(cbrt (expm1 (* a x)))
120.0ms	(cbrt (expm1 (* a x)))
116.0ms	(cbrt (expm1 (* a x)))

simplify4.2s

Calls

68 calls:

Slowest

463.0ms	(pow (- (exp (* a x)) 1) 1/3)
416.0ms	(pow (- (exp (* a x)) 1) 1/3)
345.0ms	(pow (- (exp (* a x)) 1) 1/3)
325.0ms	(pow (- (exp (* a x)) 1) 1/3)
321.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune988.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `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`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series525.0ms

Calls

4 calls:

Slowest

150.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
132.0ms	(cbrt (expm1 (* a x)))
126.0ms	(cbrt (expm1 (* a x)))
117.0ms	(cbrt (expm1 (* a x)))

simplify4.1s

Calls

68 calls:

Slowest

393.0ms	(pow (- (exp (* a x)) 1) 1/3)
388.0ms	(pow (- (exp (* a x)) 1) 1/3)
367.0ms	(pow (- (exp (* a x)) 1) 1/3)
362.0ms	(pow (- (exp (* a x)) 1) 1/3)
306.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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`

Calls

4 calls:

Slowest

1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series494.0ms

Calls

4 calls:

Slowest

134.0ms	(cbrt (expm1 (* a x)))
131.0ms	(cbrt (expm1 (* a x)))
118.0ms	(cbrt (expm1 (* a x)))
110.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Calls

24 calls:

Slowest

453.0ms	(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))
375.0ms	(pow (- (exp (* a x)) 1) 1/3)
370.0ms	(pow (- (exp (* a x)) 1) 1/3)
365.0ms	(pow (- (exp (* a x)) 1) 1/3)
355.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune879.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	2585×	body	1280	valid
382.0ms	1334×	body	640	valid
319.0ms	5531×	body	80	valid
175.0ms	780×	body	320	valid
48.0ms	402×	body	160	valid