Details

sample121.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
28.0ms	291×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (271.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	108	32
3	387	32
4	1604	31
done	5001	31

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ (/ 2.0 t) 3.0)
0.6b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

30.0ms	(* z (sqrt (+ t a)))
13.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
27.0ms	(/ (* z (sqrt (+ t a))) t)

series515.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* z (sqrt (+ t a)))
29.0ms	(/ (/ 2.0 t) 3.0)
263.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
119.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.5s

Counts

146 → 146

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	319	1876
1	740	1756
2	1982	1622
done	5001	1602

prune860.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
0.9b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite114.0ms

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` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 125

Calls

4 calls:

1.0ms	(cbrt t)
2.0ms	(cbrt t)
1.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
99.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series947.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt t)
260.0ms	(cbrt t)
320.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
171.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.6s

Counts

137 → 137

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	245	2460
1	668	2293
2	2426	1806
done	5000	1678

prune780.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `associate-l` `associate-/r` `associate-/l`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`cbrt-undiv` `unpow-prod-up` `pow-to-exp` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

8.0ms	(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))
31.0ms	(* a (- c b))
0.0ms	(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
5.0ms	(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))
56.0ms	(* a (- c b))
211.0ms	(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
85.0ms	(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))

simplify3.0s

Counts

120 → 120

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	218	2108
1	405	1891
2	934	1674
3	3187	1632
done	5000	1575

prune515.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes281.0ms

Accuracy

0% (0.9b remaining)

Error of 1.5b against oracle of 0.6b and baseline of 1.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	38
1	32	38
done	32	38

end0.0ms

sample2.9s

Algorithm

intervals

Results

840.0ms	8000×	body	80	valid
747.0ms	7811×	body	80	nan