Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	32	8
3	73	8
4	172	8
5	289	8
6	397	8
7	471	8
8	525	8
9	941	8
10	4366	8
done	5000	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) 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 x) (* 6.0 z) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (- y x) (* 6.0 z) x)

simplify3.5s

Counts

13 → 13

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	108	135
3	404	123
4	3924	123
done	5000	123

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ x (* (* (- y x) 6.0) z))
35.0ms	(* (- y x) 6.0)
60.0ms	(* (* (- y x) 6.0) z)

series176.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* (* (- y x) 6.0) z))
43.0ms	(* (- y x) 6.0)
61.0ms	(* (* (- y x) 6.0) z)

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	104	692
1	267	647
2	1360	562
done	5001	556

prune171.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* z (- y x)) 6.0))
0.0b	(* z (- y x))
0.2b	(* (* z (- y x)) 6.0)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

7.0ms	(+ x (* (* z (- y x)) 6.0))
28.0ms	(* z (- y x))
34.0ms	(* (* z (- y x)) 6.0)

series167.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ x (* (* z (- y x)) 6.0))
48.0ms	(* z (- y x))
61.0ms	(* (* z (- y x)) 6.0)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	1222
1	387	1023
2	1717	847
done	5001	822

prune204.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* y y) (* x x)) 6.0)
0.2b	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
2.8b	(- (* y y) (* x x))
27.9b	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

43.0ms	(* (- (* y y) (* x x)) 6.0)
77.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
14.0ms	(- (* y y) (* x x))
32.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series271.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* y y) (* x x)) 6.0)
81.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
52.0ms	(- (* y y) (* x x))
88.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify1.9s

Counts

113 → 113

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	158	1701
1	461	1645
2	2959	1368
done	5000	1360

prune296.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

388.0ms

10004×

body

valid