Details

sample89.0ms

Algorithm

intervals

Results

34.0ms	79×	body	1280	valid
19.0ms	62×	body	640	valid
12.0ms	182×	body	80	valid
8.0ms	16×	body	320	valid
2.0ms	11×	body	160	valid

simplify73.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

73.0ms

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

prune27.0ms

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))

series57.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

57.0ms

(expm1 (* a x))

simplify749.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

572.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
101.0ms	(- (exp (* a x)) 1)
70.0ms	(- (exp (* a x)) 1)
4.0ms	(* a x)

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

21.8b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
0.0b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite40.0ms

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

17.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
16.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
6.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series204.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
49.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
42.0ms	(expm1 (* a x))
35.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify4.4s

Counts

61 → 96

Calls

61 calls:

Slowest

603.0ms	(pow (- (exp (* a x)) 1) 2)
568.0ms	(pow (- (exp (* a x)) 1) 2)
543.0ms	(* (* (* (* (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))))
394.0ms	(* (* (* (* (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))))
385.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune692.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

21.8b	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))) (expm1 (* a x))))
14.0b	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (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)))

rewrite130.0ms

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`
3×	`pow-prod-down`
2×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

Slowest

78.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))))
34.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))) (expm1 (* a x))))
11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
6.0ms	(* (expm1 (* a x)) (expm1 (* a x)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))))
62.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
45.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
44.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))) (expm1 (* a x))))

simplify6.1s

Counts

57 → 93

Calls

57 calls:

Slowest

646.0ms	(pow (- (exp (* a x)) 1) 2)
640.0ms	(pow (- (exp (* a x)) 1) 2)
639.0ms	(pow (- (exp (* a x)) 1) 2)
635.0ms	(pow (- (exp (* a x)) 1) 2)
605.0ms	(pow (- (exp (* a x)) 1) 2)

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

21.8b	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))) (expm1 (* a x))))
21.2b	(log (* (expm1 (* a x)) (expm1 (* a x))))
14.0b	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))))
1.9b	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
12×	`log-pow`
9×	`exp-prod`
7×	`add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `pow2` `log-prod` `pow-plus` `pow1/3` `rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`exp-sum` `prod-exp` `rem-exp-log`

Counts

4 → 64

Calls

4 calls:

Slowest

202.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))))
90.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))) (expm1 (* a x))))
10.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))
10.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))
64.0ms	(cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))))
54.0ms	(cbrt (* (cbrt (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))) (expm1 (* a x))))
53.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))

simplify4.4s

Counts

31 → 76

Calls

31 calls:

Slowest

641.0ms	(pow (- (exp (* a x)) 1) 2)
614.0ms	(pow (- (exp (* a x)) 1) 2)
585.0ms	(pow (- (exp (* a x)) 1) 2)
553.0ms	(pow (- (exp (* a x)) 1) 2)
421.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune996.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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

1.5s	2636×	body	1280	valid
417.0ms	1347×	body	640	valid
406.0ms	5567×	body	80	valid
213.0ms	780×	body	320	valid
45.0ms	382×	body	160	valid