Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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	245	8
9	343	8
10	453	8
11	516	8
12	582	8
13	626	8
14	666	8
15	764	8
16	1013	8
17	1319	8
18	1912	8
19	2462	8
20	2559	8
21	2565	8
done	2565	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:

2.4b	(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)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify515.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	218	123
4	980	123
done	5000	123

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
4.8b	(/ (* y (- z x)) t)

rewrite28.0ms

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:

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

series118.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ (* y (- z x)) t))
34.0ms	(* y (- z x))
48.0ms	(/ (* y (- z x)) t)

simplify690.0ms

Counts

97 → 97

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	167	1262
1	374	1055
2	1038	875
done	5000	817

prune155.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
5.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
35.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
189.0ms	(cbrt t)
179.0ms	(cbrt t)
92.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify801.0ms

Counts

124 → 124

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	165	1625
1	486	1547
2	2106	1193
done	5000	1187

prune348.0ms

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	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
4.9b	(* (* 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:

3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
11.0ms	(* y (- z x))
18.0ms	(* (* y (- z x)) (/ 1 t))

series125.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
35.0ms	(* y (- z x))
51.0ms	(* (* y (- z x)) (/ 1 t))

simplify774.0ms

Counts

115 → 115

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	205	1610
1	500	1253
2	1485	1012
done	5000	994

prune191.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

35.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	21	52
1	26	52
done	26	50

end0.0ms

sample529.0ms

Algorithm

intervals

Results

272.0ms

10679×

body

valid