Details

sample95.0ms

Algorithm

intervals

Results

38.0ms	76×	body	1280	valid
23.0ms	49×	body	640	valid
12.0ms	179×	body	80	valid
5.0ms	22×	body	320	valid
2.0ms	12×	body	160	valid

simplify91.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

91.0ms

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

prune8.0ms

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`

Counts

1 → 12

Calls

1 calls:

Slowest

1.0ms

(expm1 (* a x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

47.0ms

(expm1 (* a x))

simplify283.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

152.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
68.0ms	(- (exp (* a x)) 1)
59.0ms	(- (exp (* a x)) 1)
2.0ms	(* a x)

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

20.2b	(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))

rewrite52.0ms

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

25.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
15.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
10.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series206.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
50.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
50.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
42.0ms	(expm1 (* a x))

simplify4.5s

Counts

61 → 96

Calls

61 calls:

Slowest

609.0ms	(pow (- (exp (* a x)) 1) 2)
609.0ms	(pow (- (exp (* a x)) 1) 2)
452.0ms	(* (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
405.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))
379.0ms	(* (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

20.2b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))
20.2b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

Slowest

34.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))
26.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))))
43.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
42.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
42.0ms	(* (expm1 (* a x)) (expm1 (* a x)))

simplify4.9s

Counts

57 → 93

Calls

57 calls:

Slowest

687.0ms	(pow (- (exp (* a x)) 1) 2)
651.0ms	(pow (- (exp (* a x)) 1) 2)
648.0ms	(pow (- (exp (* a x)) 1) 2)
637.0ms	(pow (- (exp (* a x)) 1) 2)
406.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2643×	body	1280	valid
466.0ms	422×	body	160	valid
371.0ms	1325×	body	640	valid
327.0ms	5468×	body	80	valid
131.0ms	752×	body	320	valid