Details

sample181.0ms

Algorithm

intervals

Results

36.0ms	452×	body	80	valid
18.0ms	452×	pre	80	true

simplify413.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

412.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 132

Calls

3 calls:

Slowest

94.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
30.0ms	(* m (- 1 m))
16.0ms	(/ (* m (- 1 m)) v)

series192.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(* m (- 1 m))
60.0ms	(/ (* m (- 1 m)) v)
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify36.3s

Counts

193 → 141

Calls

193 calls:

Slowest

1.1s	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* m m)))
962.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- 1 m))
794.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
605.0ms	(exp (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
597.0ms	(* (- (sqrt (/ (* m (- 1 m)) v)) 1) (- 1 m))

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`flip3--` `associate-r` `flip--`
4×	`frac-times` `pow1` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
2×	`expm1-log1p-u` `sub-neg` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
1×	`difference-of-sqr-1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 69

Calls

2 calls:

Slowest

34.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
0.0ms	(fma (/ m v) (- m) (/ m v))

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

57.0ms	(fma (/ m v) (- m) (/ m v))
53.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))

simplify31.0s

Counts

101 → 75

Calls

101 calls:

Slowest

861.0ms	(* (cbrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))) (cbrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))))
820.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
807.0ms	(log1p (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m)))
780.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
755.0ms	(sqrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m)))

prune751.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (/ m v) (- m) (/ m v)) m (- m))
0.1b	(fma (fma (/ m v) (- m) (/ m v)) m (- m))
0.1b	(fma (/ m v) (- m) (/ m v))
0.1b	(fma (/ m v) (- m) (/ m v))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

Slowest

1.0ms	(fma (fma (/ m v) (- m) (/ m v)) m (- m))
0.0ms	(fma (fma (/ m v) (- m) (/ m v)) m (- m))
0.0ms	(fma (/ m v) (- m) (/ m v))
0.0ms	(fma (/ m v) (- m) (/ m v))

series173.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(fma (/ m v) (- m) (/ m v))
47.0ms	(fma (/ m v) (- m) (/ m v))
37.0ms	(fma (fma (/ m v) (- m) (/ m v)) m (- m))
31.0ms	(fma (fma (/ m v) (- m) (/ m v)) m (- m))

simplify5.1s

Counts

56 → 56

Calls

56 calls:

Slowest

245.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
238.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
237.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
230.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
229.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune717.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 3 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

Slowest

142.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
41.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
40.0ms	(* m (- (* 1 1) (* m m)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

100.0ms	(* m (- (* 1 1) (* m m)))
90.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
70.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))

simplify43.3s

Counts

159 → 123

Calls

159 calls:

Slowest

1.2s	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
929.0ms	(* (- m) (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1))
748.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
717.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
714.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- (* 1 1) (* m m)))

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s	13869×	body	80	valid
657.0ms	13869×	pre	80	true