Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

311×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	38	12
4	45	12
5	51	12
6	54	12
done	54	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
2.4b	(* (/ x y) z)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

67.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(/ (+ x 4.0) y)
17.0ms	(* (/ x y) z)

series141.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
45.0ms	(/ (+ x 4.0) y)
25.0ms	(* (/ x y) z)

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: 2 (317.0ms)

Iter	Nodes	Cost
0	142	904
1	351	859
2	1678	785
done	5001	785

prune232.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
2.3b	(* (/ x y) (- 1 z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
5×	`frac-add`
4×	`pow1` `distribute-rgt-in` `frac-times` `sub-neg` `associate-+r+` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `add-log-exp`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 63

Calls

2 calls:

36.0ms	(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
40.0ms	(* (/ x y) (- 1 z))

series143.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
68.0ms	(* (/ x y) (- 1 z))

simplify3.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (740.0ms)

Iter	Nodes	Cost
0	140	921
1	417	838
2	2828	778
done	5002	778

prune257.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.2b	(* (+ x 4.0) (/ 1 y))
2.4b	(* (/ x y) z)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`add-exp-log` `associate-l`
16×	`associate-r`
13×	`associate-*l/` `add-cbrt-cube`
7×	`pow1`
6×	`prod-exp` `frac-sub`
5×	`add-log-exp` `unswap-sqr`
4×	`frac-times` `flip3-+` `cbrt-unprod` `flip-+`
3×	`associate-*r/` `div-exp` `un-div-inv`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv` `sub-div`
1×	`sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `flip--` `distribute-lft-out`

Counts

3 → 93

Calls

3 calls:

19.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
48.0ms	(* (+ x 4.0) (/ 1 y))
16.0ms	(* (/ x y) z)

series109.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
36.0ms	(* (+ x 4.0) (/ 1 y))
24.0ms	(* (/ x y) z)

simplify2.2s

Counts

102 → 102

Iterations

Useful iterations: 2 (470.0ms)

Iter	Nodes	Cost
0	190	1226
1	523	1118
2	2982	925
done	5000	925

prune344.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1 z))
0.2b	(cbrt (- 1 z))
0.3b	(* (* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y)) (cbrt (- 1 z)))
2.1b	(* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
65×	`associate-*l/`
34×	`add-exp-log`
27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`associate-r/` `associate-r*`
21×	`add-cbrt-cube`
18×	`pow1` `cbrt-prod`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt`
10×	`times-frac`
9×	`pow-prod-down`
6×	`difference-of-squares`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1/3` `associate-l` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 167

Calls

4 calls:

7.0ms	(cbrt (- 1 z))
5.0ms	(cbrt (- 1 z))
338.0ms	(* (* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y)) (cbrt (- 1 z)))
107.0ms	(* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y))

series259.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (- 1 z))
41.0ms	(cbrt (- 1 z))
48.0ms	(* (* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y)) (cbrt (- 1 z)))
129.0ms	(* (* (cbrt (- 1 z)) (cbrt (- 1 z))) (/ x y))

simplify3.0s

Counts

179 → 179

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	302	4355
1	856	3807
2	4536	3511
done	5000	3505

prune784.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

752.0ms

10120×

body

valid