Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

299×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1017
3	146
2	42
1	16
0	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b	(/ (* x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

9.0ms

(/ (* x y) z)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(/ (* x y) z)

simplify720.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	627
1	120
0	50

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (* x y) (/ 1 z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-l` `associate-r/` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

24.0ms

(* (* x y) (/ 1 z))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x y) (/ 1 z))

simplify1.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1657
1	251
0	85

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
4.0b	(* (/ y (cbrt z)) (/ x (cbrt z)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-exp-log`
75×	`add-sqr-sqrt`
66×	`times-frac`
45×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-r`
40×	`add-cbrt-cube` `prod-exp`
39×	`cbrt-prod`
30×	`div-exp`
23×	`associate-l`
22×	`cbrt-unprod`
17×	`cbrt-undiv`
11×	`pow1`
9×	`unswap-sqr`
6×	`frac-times` `associate-*l/`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`
1×	`un-div-inv`

Counts

4 → 174

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
83.0ms	(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
34.0ms	(* (/ y (cbrt z)) (/ x (cbrt z)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt z)
286.0ms	(cbrt z)
80.0ms	(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
265.0ms	(* (/ y (cbrt z)) (/ x (cbrt z)))

simplify979.0ms

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
1	855
0	257

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
1.3b	(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
2.1b	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

700×	`add-exp-log`
383×	`prod-exp`
256×	`div-exp`
167×	`add-cbrt-cube`
132×	`cbrt-unprod`
110×	`add-sqr-sqrt`
97×	`times-frac`
86×	`cbrt-undiv`
76×	`1-exp`
74×	`cbrt-prod`
58×	`*-un-lft-identity` `add-cube-cbrt`
48×	`associate-l`
45×	`associate-r`
26×	`rec-exp`
23×	`frac-times`
20×	`pow1`
17×	`associate-l/` `associate-r/`
15×	`unswap-sqr`
10×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`*-commutative`
1×	`pow1/3` `un-div-inv`

Counts

4 → 367

Calls

4 calls:

1.0ms	(cbrt y)
267.0ms	(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
53.0ms	(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
111.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt y)
34.0ms	(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))) (/ 1 (cbrt z)))
293.0ms	(* (/ (cbrt y) (cbrt z)) (/ x (cbrt z)))
175.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (cbrt z)) (/ x (cbrt z))))

simplify2.2s

Counts

379 → 379

Iterations

Iter	Nodes
done	5001
1	1977
0	504

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes655.0ms

Accuracy

86.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.9b

bsearch1.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	38
3	38
2	35
1	32
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

1000.0ms

9593×

body

valid