Details

sample88.0ms

Algorithm

intervals

Results

50.0ms	187×	body	160	valid
18.0ms	69×	body	320	valid
10.0ms	256×	pre	80	true

simplify226.0ms

Calls

1 calls:

Slowest

225.0ms

(+ (* (+ 1 (* t 2e-16)) (+ 1 (* t 2e-16))) (- -1 (* 2 (* t 2e-16))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.2b

localize25.0ms

Local error

Found 3 expressions with local error:

50.4b	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
0.7b	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
0.3b	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `associate-l` `flip-+`

Calls

3 calls:

Slowest

15.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
0.0ms	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))
0.0ms	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))

series426.0ms

Calls

3 calls:

Slowest

160.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
152.0ms	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
114.0ms	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

simplify2.3s

Calls

15 calls:

Slowest

589.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
520.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
280.0ms	(sqrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))))
266.0ms	(* (cbrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))) (cbrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))))
165.0ms	(* (exp (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))) (exp (* 2e-16 t)))

prune250.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* t t) 3.9999999999999997e-32)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt` `unswap-sqr`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
4×	`swap-sqr`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

38.0ms

(* (* t t) 3.9999999999999997e-32)

series38.0ms

Calls

1 calls:

Slowest

38.0ms

(* (* t t) 3.9999999999999997e-32)

simplify765.0ms

Calls

32 calls:

Slowest

266.0ms	(* (* (* (* t t) (* t t)) (* t t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
210.0ms	(* (* (* (* t t) t) (* (* t t) t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
27.0ms	(+ (+ (log t) (log t)) (log 3.9999999999999997e-32))
21.0ms	(* 3.9999999999999997e-32 (pow t 2))
21.0ms	(* 3.9999999999999997e-32 (pow t 2))

prune253.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* t (* t 3.9999999999999997e-32))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`add-sqr-sqrt`
6×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

26.0ms

(* t (* t 3.9999999999999997e-32))

series28.0ms

Calls

1 calls:

Slowest

28.0ms

(* t (* t 3.9999999999999997e-32))

simplify756.0ms

Calls

24 calls:

Slowest

321.0ms	(* (* (* t t) t) (* (* (* t 3.9999999999999997e-32) (* t 3.9999999999999997e-32)) (* t 3.9999999999999997e-32)))
233.0ms	(* (* (* t t) t) (* (* (* t t) t) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32)))
22.0ms	(* (sqrt t) (* (sqrt t) (sqrt 3.9999999999999997e-32)))
22.0ms	(* 3.9999999999999997e-32 (pow t 2))
18.0ms	(* (sqrt t) (* (sqrt t) (sqrt 3.9999999999999997e-32)))

prune187.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
0.2b	(* t (* t (sqrt 3.9999999999999997e-32)))
0.1b	(* t (sqrt 3.9999999999999997e-32))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
56×	`associate-r`
42×	`associate-l`
34×	`unswap-sqr`
23×	`sqrt-prod`
19×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`*-commutative`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

3 calls:

Slowest

141.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
45.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
14.0ms	(* t (sqrt 3.9999999999999997e-32))

series233.0ms

Calls

3 calls:

Slowest

96.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
82.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
55.0ms	(* t (sqrt 3.9999999999999997e-32))

simplify3.0s

Calls

108 calls:

Slowest

421.0ms	(* (* (* t t) t) (* (* (* t t) t) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))))
275.0ms	(* (* (* t t) t) (* (* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32))) (* t (sqrt 3.9999999999999997e-32))))
167.0ms	(* (* (* (* t t) t) (* (* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32))) (* t (sqrt 3.9999999999999997e-32)))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
162.0ms	(* (* (* (* t t) t) (* (* (* t t) t) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
144.0ms	(* (* (* t t) t) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))

prune902.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	6013×	body	160	valid
581.0ms	1987×	body	320	valid
262.0ms	8000×	pre	80	true