Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize10.0ms

Local error

Found 1 expressions with local error:

8.8b	(/ (+ y x) (- 1.0 (/ y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

27.0ms

(/ (+ y x) (- 1.0 (/ y z)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (+ y x) (- 1.0 (/ y z)))

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	3318
2	695
1	209
0	95

prune297.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- 1.0 (/ y z)))
8.4b	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 97

Calls

2 calls:

29.0ms	(/ 1 (- 1.0 (/ y z)))
84.0ms	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

series111.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- 1.0 (/ y z)))
61.0ms	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

simplify3.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2866
1	370
0	143

prune430.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.5b

localize44.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ y x) (cbrt (- 1.0 (/ y z)))))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
58×	`times-frac`
49×	`add-exp-log`
45×	`cbrt-prod`
42×	`associate-r`
27×	`add-cube-cbrt`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
14×	`difference-of-squares`
10×	`flip3--` `associate-/r/` `flip--`
9×	`distribute-lft-out` `unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv` `distribute-lft-out--`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 146

Calls

4 calls:

320.0ms	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ y x) (cbrt (- 1.0 (/ y z)))))
11.0ms	(cbrt (- 1.0 (/ y z)))
11.0ms	(cbrt (- 1.0 (/ y z)))
12.0ms	(cbrt (- 1.0 (/ y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ y x) (cbrt (- 1.0 (/ y z)))))
383.0ms	(cbrt (- 1.0 (/ y z)))
341.0ms	(cbrt (- 1.0 (/ y z)))
435.0ms	(cbrt (- 1.0 (/ y z)))

simplify1.9s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4484
1	707
0	220

prune760.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.5b

localize52.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`cbrt-prod`
16×	`*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt` `difference-of-squares`
4×	`pow1` `times-frac` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (/ y z)))
7.0ms	(cbrt (- 1.0 (/ y z)))
7.0ms	(cbrt (- 1.0 (/ y z)))
7.0ms	(cbrt (- 1.0 (/ y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

392.0ms	(cbrt (- 1.0 (/ y z)))
370.0ms	(cbrt (- 1.0 (/ y z)))
372.0ms	(cbrt (- 1.0 (/ y z)))
365.0ms	(cbrt (- 1.0 (/ y z)))

simplify578.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1085
2	310
1	138
0	66

prune517.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 7.5b

regimes246.0ms

Accuracy

0% (1.8b remaining)

Error of 7.4b against oracle of 5.6b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample749.0ms

Algorithm

intervals

Results

368.0ms	7995×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid