Details

sample66.0ms

Algorithm

intervals

Results

30.0ms	85×	body	1280	valid
10.0ms	44×	body	640	valid
10.0ms	200×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify78.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

78.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

(expm1 (* a x))

simplify292.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

146.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
74.0ms	(- (exp (* a x)) 1)
66.0ms	(- (exp (* a x)) 1)
4.0ms	(* a x)

prune167.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 85

Calls

4 calls:

Slowest

10.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
2.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
122.0ms	(cbrt (expm1 (* a x)))
118.0ms	(cbrt (expm1 (* a x)))
94.0ms	(cbrt (expm1 (* a x)))

simplify3.7s

Counts

65 → 97

Calls

65 calls:

Slowest

419.0ms	(pow (- (exp (* a x)) 1) 1/3)
387.0ms	(pow (- (exp (* a x)) 1) 1/3)
374.0ms	(pow (- (exp (* a x)) 1) 1/3)
346.0ms	(pow (- (exp (* a x)) 1) 1/3)
327.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 85

Calls

4 calls:

Slowest

16.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
2.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(cbrt (expm1 (* a x)))
155.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
135.0ms	(cbrt (expm1 (* a x)))
125.0ms	(cbrt (expm1 (* a x)))

simplify4.0s

Counts

65 → 97

Calls

65 calls:

Slowest

435.0ms	(pow (- (exp (* a x)) 1) 1/3)
408.0ms	(pow (- (exp (* a x)) 1) 1/3)
399.0ms	(pow (- (exp (* a x)) 1) 1/3)
380.0ms	(pow (- (exp (* a x)) 1) 1/3)
356.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
8.7b	(cbrt (expm1 (* a x)))
8.7b	(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`

Counts

4 → 56

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)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(cbrt (expm1 (* a x)))
112.0ms	(cbrt (expm1 (* a x)))
109.0ms	(cbrt (expm1 (* a x)))
102.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Counts

24 → 68

Calls

24 calls:

Slowest

458.0ms	(pow (- (exp (* a x)) 1) 1/3)
439.0ms	(pow (- (exp (* a x)) 1) 1/3)
420.0ms	(pow (- (exp (* a x)) 1) 1/3)
398.0ms	(pow (- (exp (* a x)) 1) 1/3)
375.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune977.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	2704×	body	1280	valid
400.0ms	1304×	body	640	valid
337.0ms	5363×	body	80	valid
200.0ms	757×	body	320	valid
50.0ms	402×	body	160	valid