Details

sample112.0ms

Algorithm

intervals

Results

28.0ms	280×	body	80	nan
25.0ms	256×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (379.0ms)

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(* z (sqrt (+ t a)))
1.9b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.9b	(/ (* z (sqrt (+ t a))) t)

rewrite68.0ms

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:

19.0ms	(/ (/ 2.0 t) 3.0)
23.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
16.0ms	(/ (* z (sqrt (+ t a))) t)

series533.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (/ 2.0 t) 3.0)
70.0ms	(* z (sqrt (+ t a)))
299.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
142.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts

146 → 146

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	319	1876
1	740	1756
2	1993	1622
done	5000	1602

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

1.0ms	(fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)
9.0ms	(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
45.0ms	(* a (- c b))

series508.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)
204.0ms	(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
63.0ms	(* a (- c b))

simplify2.1s

Counts

94 → 94

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	175	1716
1	321	1528
2	698	1323
3	2394	1281
done	5000	1226

prune402.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
0.0b	(* a (- c b))
0.0b	(pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
2.8b	(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
45×	`times-frac`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
18×	`prod-diff`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`pow1`
5×	`associate-r` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sub-neg` `unpow3` `associate-*r/` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

5.0ms	(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
23.0ms	(* a (- c b))
7.0ms	(pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
8.0ms	(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

series814.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
49.0ms	(* a (- c b))
329.0ms	(pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
214.0ms	(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

simplify1.3s

Counts

179 → 179

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	240	4543
1	513	3963
2	1419	3508
done	5000	3367

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
0.0b	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.2b	(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.9b	(- (/ b t) (/ c t))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

1208×	`times-frac`
961×	`add-sqr-sqrt`
951×	`*-un-lft-identity`
935×	`add-cube-cbrt`
846×	`prod-diff`
342×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
136×	`div-inv`
14×	`fma-neg`
12×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`pow1` `sub-neg`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l`
2×	`distribute-rgt-out--` `diff-log` `frac-sub` `sub-div`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 969

Calls

4 calls:

5.0ms	(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
141.0ms	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
159.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
44.0ms	(- (/ b t) (/ c t))

series365.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
64.0ms	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
58.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
25.0ms	(- (/ b t) (/ c t))

simplify3.7s

Counts

981 → 981

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	829	35625
1	1411	31422
2	2947	22964
done	5000	17771

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	31
1	29	31
done	29	31

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	8153×	body	80	nan
1.5s	8000×	body	80	valid