Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

349×

body

valid

simplify7.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	47	8
4	85	8
5	131	8
6	172	8
7	203	8
8	264	8
9	414	8
10	697	8
11	1066	8
12	1465	8
13	2234	8
14	3247	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (/ y t) (- z x) x)

simplify462.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	218	123
4	980	123
done	5001	123

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ t (- z x))) x)
0.0b	(/ t (- z x))
5.6b	(/ y (/ t (- z x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

61.0ms	(+ (/ y (/ t (- z x))) x)
5.0ms	(/ t (- z x))
9.0ms	(/ y (/ t (- z x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ y (/ t (- z x))) x)
29.0ms	(/ t (- z x))
53.0ms	(/ y (/ t (- z x)))

simplify768.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (196.0ms)

Iter	Nodes	Cost
0	248	2339
1	550	2186
2	2017	2093
done	5000	2093

prune585.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.5b	(/ (* y (- z x)) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

11.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
10.0ms	(/ (* y (- z x)) t)

series121.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z x))
35.0ms	(+ x (/ (* y (- z x)) t))
51.0ms	(/ (* y (- z x)) t)

simplify663.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	167	1262
1	374	1055
2	1366	857
done	5001	857

prune167.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
7.6b	(* (* y (- z x)) (/ 1 t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

11.0ms	(* y (- z x))
3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
17.0ms	(* (* y (- z x)) (/ 1 t))

series127.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z x))
36.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
50.0ms	(* (* y (- z x)) (/ 1 t))

simplify1.0s

Counts

115 → 115

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	205	1610
1	500	1253
2	1754	994
done	5000	994

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

59.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	53
1	28	51
done	28	51

end0.0ms

sample545.0ms

Algorithm

intervals

Results

280.0ms

10704×

body

valid