Details

sample72.0ms

Algorithm

intervals

Results

31.0ms	89×	body	1280	valid
15.0ms	42×	body	640	valid
8.0ms	179×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	11×	body	160	valid

simplify95.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

95.0ms

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

prune14.0ms

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

0.0ms

(expm1 (* a x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

(expm1 (* a x))

simplify339.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

176.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
89.0ms	(- (exp (* a x)) 1)
68.0ms	(- (exp (* a x)) 1)
4.0ms	(* a x)

prune167.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite57.0ms

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

30.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
14.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
10.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
1.0ms	(expm1 (* a x))

series212.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
59.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
58.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
36.0ms	(expm1 (* a x))

simplify4.5s

Counts

61 → 96

Calls

61 calls:

Slowest

655.0ms	(pow (- (exp (* a x)) 1) 2)
592.0ms	(pow (- (exp (* a x)) 1) 2)
555.0ms	(* (* (* (* (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))))
445.0ms	(* (* (* (* (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))))
380.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune891.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (* (* (* (expm1 (* a x)) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x)))) (expm1 (* a x))))
11.0b	(cbrt (expm1 (* a x)))
11.0b	(cbrt (expm1 (* a x)))
11.0b	(cbrt (expm1 (* a x)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 54

Calls

4 calls:

Slowest

208.0ms	(cbrt (* (* (* (expm1 (* a x)) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x)))) (expm1 (* a x))))
2.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(cbrt (expm1 (* a x)))
130.0ms	(cbrt (expm1 (* a x)))
122.0ms	(cbrt (expm1 (* a x)))
59.0ms	(cbrt (* (* (* (expm1 (* a x)) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x)))) (expm1 (* a x))))

simplify2.9s

Counts

22 → 66

Calls

22 calls:

Slowest

370.0ms	(pow (- (exp (* a x)) 1) 1/3)
361.0ms	(pow (- (exp (* a x)) 1) 1/3)
358.0ms	(pow (- (exp (* a x)) 1) 1/3)
347.0ms	(pow (- (exp (* a x)) 1) 1/3)
340.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
11.1b	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x)))))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))

rewrite148.0ms

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

77.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x)))))
51.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
10.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
9.0ms	(* (expm1 (* a x)) (expm1 (* a x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x)))))
60.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
52.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
49.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (* (expm1 (* a x)) (expm1 (* a x)))) (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))

simplify6.5s

Counts

57 → 93

Calls

57 calls:

Slowest

703.0ms	(pow (- (exp (* a x)) 1) 2)
680.0ms	(pow (- (exp (* a x)) 1) 2)
665.0ms	(pow (- (exp (* a x)) 1) 2)
652.0ms	(pow (- (exp (* a x)) 1) 2)
615.0ms	(pow (- (exp (* a x)) 1) 2)

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	2698×	body	1280	valid
381.0ms	5495×	body	80	valid
378.0ms	1258×	body	640	valid
182.0ms	778×	body	320	valid
46.0ms	376×	body	160	valid