Details

sample230.0ms

Algorithm

intervals

Results

49.0ms	431×	body	80	valid
31.0ms	431×	pre	80	true

simplify521.0ms

Calls

1 calls:

Slowest

520.0ms

(* (- (/ (* m (- 1 m)) v) 1) m)

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)
0.0b	(/ (* m (- 1 m)) v)
0.0b	(- (/ (* m (- 1 m)) v) 1)
0.0b	(* m (- 1 m))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Calls

4 calls:

Slowest

97.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
19.0ms	(- (/ (* m (- 1 m)) v) 1)
17.0ms	(* m (- 1 m))
16.0ms	(/ (* m (- 1 m)) v)

series376.0ms

Calls

4 calls:

Slowest

128.0ms	(/ (* m (- 1 m)) v)
126.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
87.0ms	(* m (- 1 m))
35.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify12.6s

Calls

135 calls:

Slowest

560.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
488.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
481.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* (sqrt 1) (sqrt 1))))
479.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
469.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* 1 1)))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ m (/ v (- 1 m))) 1) m)
0.1b	(/ m (/ v (- 1 m)))
0.0b	(/ v (- 1 m))
0.0b	(- (/ m (/ v (- 1 m))) 1)

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
579×	`add-sqr-sqrt`
545×	`*-un-lft-identity`
379×	`add-cube-cbrt`
231×	`prod-diff`
116×	`difference-of-squares`
77×	`fma-neg`
54×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `add-exp-log` `flip--`
13×	`add-cbrt-cube` `associate-l`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

4 calls:

Slowest

187.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
96.0ms	(- (/ m (/ v (- 1 m))) 1)
22.0ms	(/ m (/ v (- 1 m)))
17.0ms	(/ v (- 1 m))

series144.0ms

Calls

4 calls:

Slowest

52.0ms	(/ m (/ v (- 1 m)))
47.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
27.0ms	(/ v (- 1 m))
18.0ms	(- (/ m (/ v (- 1 m))) 1)

simplify1.7m

Calls

812 calls:

Slowest

903.0ms	(fma (/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (+ (sqrt 1) (sqrt m)))) (/ (cbrt m) (/ (cbrt v) (- (sqrt 1) (sqrt m)))) (- (* (sqrt 1) (sqrt 1))))
842.0ms	(* (* (* (- (/ m (/ v (- 1 m))) 1) (- (/ m (/ v (- 1 m))) 1)) (- (/ m (/ v (- 1 m))) 1)) (* (* m m) m))
663.0ms	(fma (/ (sqrt m) (/ (* (cbrt v) (cbrt v)) 1)) (/ (sqrt m) (/ (cbrt v) (- 1 m))) (- (* (sqrt 1) (sqrt 1))))
661.0ms	(fma (/ (* (cbrt m) (cbrt m)) (/ 1 (sqrt (- 1 m)))) (/ (cbrt m) (/ v (sqrt (- 1 m)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
646.0ms	(fma (/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (+ 1 (sqrt m)))) (/ (cbrt m) (/ (cbrt v) (- 1 (sqrt m)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))

prune5.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m))))
0.2b	(/ 1 (sqrt v))
0.2b	(/ m (/ (sqrt v) (- 1 m)))
0.2b	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m)))) 1) m)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

581×	`times-frac`
454×	`add-sqr-sqrt`
387×	`*-un-lft-identity`
253×	`add-cube-cbrt`
160×	`sqrt-prod`
134×	`associate-r`
84×	`difference-of-squares`
54×	`add-exp-log`
48×	`associate-/r*`
42×	`distribute-lft-out--`
34×	`add-cbrt-cube`
25×	`associate-l`
23×	`div-exp`
21×	`unswap-sqr`
16×	`associate-/r/`
13×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
10×	`pow1`
8×	`flip3--` `flip--`
7×	`cbrt-unprod`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/` `pow-flip`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Calls

4 calls:

Slowest

95.0ms	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m)))) 1) m)
63.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m))))
11.0ms	(/ m (/ (sqrt v) (- 1 m)))
5.0ms	(/ 1 (sqrt v))

series301.0ms

Calls

4 calls:

Slowest

100.0ms	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m)))) 1) m)
81.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1 m))))
80.0ms	(/ m (/ (sqrt v) (- 1 m)))
41.0ms	(/ 1 (sqrt v))

simplify58.7s

Calls

588 calls:

Slowest

692.0ms	(* (/ (* (* 1 1) 1) (* (* (sqrt v) (sqrt v)) (sqrt v))) (/ (* (* m m) m) (/ (* (* (sqrt v) (sqrt v)) (sqrt v)) (* (* (- 1 m) (- 1 m)) (- 1 m)))))
597.0ms	(/ (sqrt m) (/ (sqrt v) (- (pow 1 3) (pow m 3))))
527.0ms	(/ m (/ (cbrt (sqrt v)) (- 1 m)))
512.0ms	(+ (- (log 1) (log (sqrt v))) (- (log m) (- (log (sqrt v)) (log (- 1 m)))))
462.0ms	(+ (- (log 1) (log (sqrt v))) (- (log m) (log (/ (sqrt v) (- 1 m)))))

prune5.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
0.3b	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
0.0b	(/ (* m (- 1 m)) v)
0.0b	(- (/ (* m (- 1 m)) v) 1)

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
26×	`add-cube-cbrt`
22×	`add-exp-log`
21×	`prod-diff`
16×	`add-cbrt-cube`
15×	`times-frac`
12×	`associate-r`
11×	`pow1`
8×	`associate-l`
7×	`fma-neg` `sqrt-prod`
6×	`associate-*l/` `prod-exp` `add-log-exp`
5×	`cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
3×	`expm1-def` `associate-/r*`
2×	`cbrt-undiv` `difference-of-sqr-1` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-/l*`

Calls

4 calls:

Slowest

119.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
73.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
37.0ms	(- (/ (* m (- 1 m)) v) 1)
30.0ms	(/ (* m (- 1 m)) v)

series236.0ms

Calls

4 calls:

Slowest

91.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
66.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
56.0ms	(/ (* m (- 1 m)) v)
22.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify13.7s

Calls

119 calls:

Slowest

576.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m))
507.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* (sqrt 1) (sqrt 1))))
462.0ms	(* (* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m)) (sqrt m))
415.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
394.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.8s	13657×	body	80	valid
586.0ms	13657×	pre	80	true