Details

sample70.0ms

Algorithm

intervals

Results

38.0ms	90×	body	1280	valid
9.0ms	170×	body	80	valid
9.0ms	35×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	15×	body	160	valid

simplify75.0ms

Calls

1 calls:

Slowest

75.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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`

Calls

1 calls:

Slowest

0.0ms

(expm1 (* a x))

series52.0ms

Calls

1 calls:

Slowest

52.0ms

(expm1 (* a x))

simplify302.0ms

Calls

4 calls:

Slowest

123.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
88.0ms	(- (exp (* a x)) 1)
87.0ms	(- (exp (* a x)) 1)
2.0ms	(* a x)

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite18.0ms

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`

Calls

4 calls:

Slowest

15.0ms	(* (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)))

series557.0ms

Calls

4 calls:

Slowest

156.0ms	(cbrt (expm1 (* a x)))
151.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
133.0ms	(cbrt (expm1 (* a x)))
117.0ms	(cbrt (expm1 (* a x)))

simplify3.7s

Calls

65 calls:

Slowest

418.0ms	(pow (- (exp (* a x)) 1) 1/3)
383.0ms	(pow (- (exp (* a x)) 1) 1/3)
338.0ms	(pow (- (exp (* a x)) 1) 1/3)
332.0ms	(pow (- (exp (* a x)) 1) 1/3)
316.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

18.4b	(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)))
0.1b	(expm1 (* a x))

rewrite32.0ms

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`

Calls

4 calls:

Slowest

14.0ms	(* (* (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))

series205.0ms

Calls

4 calls:

Slowest

59.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
56.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
56.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
34.0ms	(expm1 (* a x))

simplify4.6s

Calls

61 calls:

Slowest

634.0ms	(pow (- (exp (* a x)) 1) 2)
591.0ms	(pow (- (exp (* a x)) 1) 2)
552.0ms	(* (* (* (* (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))))
482.0ms	(* (* (* (* (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))))
346.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune894.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
20.6b	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
20.6b	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
18.4b	(cbrt (* (* (* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

4 calls:

Slowest

80.0ms	(cbrt (* (* (* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
3.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
3.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
3.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))

series460.0ms

Calls

4 calls:

Slowest

144.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
139.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
130.0ms	(cbrt (* (expm1 (* a x)) (expm1 (* a x))))
47.0ms	(cbrt (* (* (* (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (cbrt (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))

simplify2.1s

Calls

16 calls:

Slowest

246.0ms	(pow (pow (- (exp (* a x)) 1) 2) 1/3)
241.0ms	(pow (pow (- (exp (* a x)) 1) 2) 1/3)
218.0ms	(pow (pow (- (exp (* a x)) 1) 2) 1/3)
214.0ms	(pow (pow (- (exp (* a x)) 1) 2) 1/3)
197.0ms	(pow (pow (- (exp (* a x)) 1) 2) 1/3)

prune827.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2691×	body	1280	valid
717.0ms	5364×	body	80	valid
385.0ms	1348×	body	640	valid
153.0ms	720×	body	320	valid
48.0ms	426×	body	160	valid