Details

sample104.0ms

Algorithm

intervals

Results

22.0ms	154×	body	160	valid
19.0ms	284×	body	80	nan
18.0ms	540×	pre	80	true
8.0ms	40×	body	320	valid
4.0ms	62×	body	80	valid

simplify108.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma (* 3.0 a) (- c) (* b b)))
0.1b	(fma (* 3.0 a) (- c) (* b b))
0.3b	(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
37.6b	(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff` `sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
6×	`times-frac` `fma-neg` `associate-/l*` `add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(sqrt (fma (* 3.0 a) (- c) (* b b)))
0.0ms	(fma (* 3.0 a) (- c) (* b b))
39.0ms	(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
27.0ms	(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

series466.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sqrt (fma (* 3.0 a) (- c) (* b b)))
73.0ms	(fma (* 3.0 a) (- c) (* b b))
179.0ms	(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
116.0ms	(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

simplify761.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1258
1	342
0	148

prune522.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* c a) (- 3.0) (* b b))
0.3b	(fma (- (* c a)) 3.0 0)
0.3b	(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
0.4b	(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
49×	`*-un-lft-identity`
29×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
18×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`associate-/l/`

Counts

4 → 113

Calls

4 calls:

0.0ms	(fma (* c a) (- 3.0) (* b b))
0.0ms	(fma (- (* c a)) 3.0 0)
11.0ms	(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
34.0ms	(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

series665.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (* c a) (- 3.0) (* b b))
40.0ms	(fma (- (* c a)) 3.0 0)
286.0ms	(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
255.0ms	(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

simplify1.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2235
1	487
0	197

prune933.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (fma (* (- 3.0) a) c (pow b 2))))
0.1b	(fma (* (- 3.0) a) c (pow b 2))
0.2b	(/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)
0.2b	(/ 1 (* (/ (* a 3.0) (* (- 3.0) a)) (/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

143×	`add-exp-log`
62×	`div-exp`
59×	`add-cbrt-cube`
54×	`prod-exp`
26×	`*-un-lft-identity`
25×	`cbrt-undiv`
18×	`cbrt-unprod`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
11×	`rec-exp` `1-exp`
7×	`pow1` `associate-/l*`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`fma-def` `associate-/r/`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `pow-flip` `associate-/l/`
1×	`frac-times` `+-commutative` `sum-log` `pow-prod-down` `associate-l/` `associate-r/` `fma-udef` `inv-pow`

Counts

4 → 131

Calls

4 calls:

7.0ms	(+ b (sqrt (fma (* (- 3.0) a) c (pow b 2))))
0.0ms	(fma (* (- 3.0) a) c (pow b 2))
18.0ms	(/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)
64.0ms	(/ 1 (* (/ (* a 3.0) (* (- 3.0) a)) (/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ b (sqrt (fma (* (- 3.0) a) c (pow b 2))))
76.0ms	(fma (* (- 3.0) a) c (pow b 2))
123.0ms	(/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)
245.0ms	(/ 1 (* (/ (* a 3.0) (* (- 3.0) a)) (/ (+ b (sqrt (fma (* (- 3.0) a) c (pow b 2)))) c)))

simplify1.9s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	4827
1	844
0	261

prune664.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))
0.2b	(/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2))))))
0.2b	(* (* (- 3.0) a) c)
0.3b	(* (/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))) (* (* (- 3.0) a) c))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
102×	`prod-exp`
77×	`add-cbrt-cube`
42×	`cbrt-unprod`
29×	`pow1`
24×	`div-exp`
15×	`pow-prod-down`
12×	`cbrt-undiv` `rec-exp` `*-un-lft-identity` `1-exp`
11×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r`
6×	`times-frac` `associate-*r/`
4×	`distribute-lft-neg-out` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `-commutative` `flip-+` `pow-flip` `associate-/l`
2×	`div-inv`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `associate-l/` `distribute-rgt-neg-out` `distribute-lft-out` `inv-pow`

Counts

4 → 150

Calls

4 calls:

32.0ms	(* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))
34.0ms	(/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2))))))
18.0ms	(* (* (- 3.0) a) c)
209.0ms	(* (/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))) (* (* (- 3.0) a) c))

series778.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))
290.0ms	(/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2))))))
26.0ms	(* (* (- 3.0) a) c)
253.0ms	(* (/ 1 (* (* a 3.0) (+ b (sqrt (fma (- 3.0) (* c a) (pow b 2)))))) (* (* (- 3.0) a) c))

simplify492.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
1	793
0	237

prune800.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	27
2	27
1	24
0	17

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	4822×	body	160	valid
708.0ms	16308×	pre	80	true
703.0ms	8308×	body	80	nan
346.0ms	1408×	body	320	valid
120.0ms	1770×	body	80	valid