Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

285×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.9b	(fma (/ y (- a t)) (- z t) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

16.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series334.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (- a t))
280.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1234
2	443
1	173
0	92

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
10.2b	(* (/ y (- a t)) (- z t))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

35.0ms	(+ (* (/ y (- a t)) (- z t)) x)
17.0ms	(/ y (- a t))
72.0ms	(* (/ y (- a t)) (- z t))

series588.0ms

Counts

3 → 9

Calls

3 calls:

349.0ms	(+ (* (/ y (- a t)) (- z t)) x)
43.0ms	(/ y (- a t))
196.0ms	(* (/ y (- a t)) (- z t))

simplify1.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	1691
1	627
0	226

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
2.8b	(* y (/ (- z t) (- a t)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

17.0ms	(+ (* y (/ (- z t) (- a t))) x)
36.0ms	(/ (- z t) (- a t))
74.0ms	(* y (/ (- z t) (- a t)))

series327.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ (* y (/ (- z t) (- a t))) x)
85.0ms	(/ (- z t) (- a t))
91.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1409
1	454
0	168

prune751.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(+ (* y (- (/ z (- a t)) (/ t (- a t)))) x)
0.0b	(/ t (- a t))
2.8b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

2590×	`*-un-lft-identity`
2582×	`add-sqr-sqrt`
2568×	`times-frac`
1764×	`prod-diff`
1540×	`add-cube-cbrt`
886×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
524×	`distribute-lft-out--`
518×	`difference-of-squares`
344×	`associate-/r/`
173×	`flip3--` `flip--`
172×	`div-inv`
18×	`associate-r`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u`
3×	`distribute-rgt-out--` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `sub-div` `unswap-sqr`

Counts

4 → 1903

Calls

4 calls:

17.0ms	(/ z (- a t))
310.0ms	(+ (* y (- (/ z (- a t)) (/ t (- a t)))) x)
17.0ms	(/ t (- a t))
354.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ z (- a t))
195.0ms	(+ (* y (- (/ z (- a t)) (/ t (- a t)))) x)
82.0ms	(/ t (- a t))
112.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify5.1s

Counts

1915 → 1915

Iterations

Iter	Nodes
done	5000
1	2306
0	1326

prune14.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes415.0ms

Accuracy

4.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch27.0ms

Steps

Iters	Range		Point
5	-3.036488784304159e+278	-1.3843941383550818e+278	-1.3967825429081763e+278

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample968.0ms

Algorithm

intervals

Results

547.0ms	8715×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid