Details

sample124.0ms

Algorithm

intervals

Results

56.0ms	461×	body	80	valid
14.0ms	461×	pre	80	true

simplify448.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

447.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
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*`

Counts

4 → 182

Calls

4 calls:

Slowest

105.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
21.0ms	(- (/ (* m (- 1 m)) v) 1)
20.0ms	(* m (- 1 m))

series201.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(* m (- 1 m))
62.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
44.0ms	(/ (* m (- 1 m)) v)
30.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify25.1s

Counts

171 → 194

Calls

171 calls:

Slowest

904.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* 1 1)))
848.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
700.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* m m)))
699.0ms	(* (+ (/ (* m (- 1 m)) v) 1) (+ 1 m))
655.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- 1 m))

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
594×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
391×	`add-cube-cbrt`
249×	`prod-diff`
118×	`difference-of-squares`
77×	`fma-neg`
55×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-r` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 561

Calls

4 calls:

Slowest

201.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
97.0ms	(- (/ m (/ v (- 1 m))) 1)
21.0ms	(/ m (/ v (- 1 m)))
17.0ms	(/ v (- 1 m))

series168.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

51.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
50.0ms	(/ m (/ v (- 1 m)))
39.0ms	(/ v (- 1 m))
27.0ms	(- (/ m (/ v (- 1 m))) 1)

simplify1.9m

Counts

848 → 573

Calls

848 calls:

Slowest

932.0ms	(* (+ (/ m (/ v (- 1 m))) 1) (+ 1 m))
929.0ms	(fma (/ (* (cbrt m) (cbrt m)) (/ 1 1)) (/ (cbrt m) (/ v (- 1 m))) (- (* 1 1)))
765.0ms	(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) (- (* 1 1) (* m m)))
739.0ms	(fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1 m))) (- (* 1 1)))
719.0ms	(/ (* (cbrt m) (cbrt m)) (/ (sqrt v) (+ 1 (sqrt m))))

prune5.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
85×	`add-cube-cbrt`
81×	`times-frac`
78×	`prod-diff`
27×	`difference-of-squares`
22×	`fma-neg`
17×	`distribute-rgt-out--`
11×	`distribute-rgt-in` `distribute-lft-in` `add-exp-log`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `distribute-lft-out--`
2×	`expm1-def` `diff-log` `div-sub` `div-exp` `associate-l/` `associate-r/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 226

Calls

4 calls:

Slowest

115.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
47.0ms	(- (/ (- m (* m m)) v) 1)
22.0ms	(/ (- m (* m m)) v)
10.0ms	(- m (* m m))

series213.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(/ (- m (* m m)) v)
64.0ms	(- m (* m m))
50.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
29.0ms	(- (/ (- m (* m m)) v) 1)

simplify31.8s

Counts

264 → 238

Calls

264 calls:

Slowest

890.0ms	(* (* (* (- (/ (- m (* m m)) v) 1) (- (/ (- m (* m m)) v) 1)) (- (/ (- m (* m m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
760.0ms	(- (* m m) (* (* m m) (* m m)))
610.0ms	(fma (/ 1 (sqrt v)) (/ (- m (* m m)) (sqrt v)) (- (* (sqrt 1) (sqrt 1))))
576.0ms	(fma (/ (* (cbrt (- m (* m m))) (cbrt (- m (* m m)))) (* (cbrt v) (cbrt v))) (/ (cbrt (- m (* m m))) (cbrt v)) (- (* 1 1)))
523.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* 1 1)))

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`times-frac` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 104

Calls

3 calls:

Slowest

30.0ms	(/ (- 1 m) v)
28.0ms	(* (fma (/ (- 1 m) v) m -1) (- 1 m))
0.0ms	(fma (/ (- 1 m) v) m -1)

series147.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

59.0ms	(* (fma (/ (- 1 m) v) m -1) (- 1 m))
48.0ms	(/ (- 1 m) v)
40.0ms	(fma (/ (- 1 m) v) m -1)

simplify12.8s

Counts

93 → 113

Calls

93 calls:

Slowest

786.0ms	(* (fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m))) (fma (/ (- 1 m) v) m -1))
599.0ms	(* (fma (/ (- 1 m) v) m -1) (fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m)))))
558.0ms	(* (fma (/ (- 1 m) v) m -1) (fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m)))))
552.0ms	(* (fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m)))) (fma (/ (- 1 m) v) m -1))
546.0ms	(* (fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m)))) (fma (/ (- 1 m) v) m -1))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13594×	body	80	valid
597.0ms	13594×	pre	80	true