Details

sample199.0ms

Algorithm

intervals

Results

92.0ms	273×	body	80	nan
60.0ms	256×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
5	5939
4	1474
3	365
2	102
1	50
0	28

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
2.2b	(* z (/ (sqrt (+ a t)) t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
20×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `distribute-lft-out`
6×	`pow1` `associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div` `prod-exp` `cbrt-unprod`
1×	`flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `fma-udef`

Counts

4 → 176

Calls

4 calls:

11.0ms	(/ (sqrt (+ a t)) t)
13.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
23.0ms	(* z (/ (sqrt (+ a t)) t))

series427.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (sqrt (+ a t)) t)
33.0ms	(/ (/ 2.0 t) 3.0)
204.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
109.0ms	(* z (/ (sqrt (+ a t)) t))

simplify778.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2126
1	820
0	351

prune4.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
25×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

4 → 125

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
45.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

series922.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt t)
293.0ms	(cbrt t)
166.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
241.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

simplify764.0ms

Counts

137 → 137

Iterations

Iter	Nodes
2	2519
1	719
0	246

prune3.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
0.0b	(* a (- c b))
0.0b	(- (* a (- c b)) (* b 0.8333333333333334))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
37×	`prod-diff` `add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `sub-neg` `associate-r` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 113

Calls

3 calls:

4.0ms	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
18.0ms	(* a (- c b))
17.0ms	(- (* a (- c b)) (* b 0.8333333333333334))

series284.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
72.0ms	(* a (- c b))
42.0ms	(- (* a (- c b)) (* b 0.8333333333333334))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
3	3361
2	981
1	401
0	196

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
0.0b	(* a (- c b))
0.0b	(- (* a (- c b)) (* b 0.8333333333333334))
0.1b	(* x (/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`add-cube-cbrt`
37×	`prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`sub-neg` `prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r` `associate-r/` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `fma-neg` `diff-log` `un-div-inv` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

4.0ms	(/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
13.0ms	(* a (- c b))
12.0ms	(- (* a (- c b)) (* b 0.8333333333333334))
14.0ms	(* x (/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x))
51.0ms	(* a (- c b))
48.0ms	(- (* a (- c b)) (* b 0.8333333333333334))
133.0ms	(* x (/ 1 (fma y (exp (* 2.0 (- (* a (- c b)) (* b 0.8333333333333334)))) x)))

simplify2.2s

Counts

167 → 167

Iterations

Iter	Nodes
3	3832
2	1217
1	501
0	232

prune2.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes410.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	32
1	32
0	29

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
2.1s	7744×	body	80	nan