Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

343×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	43	7
4	55	7
done	55	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* x (- 1.0 (* x y)))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* x (- 1.0 (* x y)))

simplify1.4s

Counts

35 → 35

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	402	356
3	1388	347
done	5000	341

prune66.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series901.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))
215.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify625.0ms

Counts

107 → 107

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	152	2108
1	371	1932
2	1221	1787
done	5000	1608

prune305.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series720.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
171.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify3.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	65	554
1	119	495
2	322	423
3	1163	405
4	3785	400
done	5000	400

prune206.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x y))
0.2b	(* (- 1.0 (* x y)) (fma x y 1.0))
0.8b	(* (* (- 1.0 (* x y)) (fma x y 1.0)) x)
7.0b	(/ (* (* (- 1.0 (* x y)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `flip3--` `fma-def` `times-frac` `div-exp` `associate-/r*` `flip--`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `fma-udef` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

2.0ms	(+ 1.0 (* x y))
8.0ms	(* (- 1.0 (* x y)) (fma x y 1.0))
16.0ms	(* (* (- 1.0 (* x y)) (fma x y 1.0)) x)
16.0ms	(/ (* (* (- 1.0 (* x y)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ 1.0 (* x y))
71.0ms	(* (- 1.0 (* x y)) (fma x y 1.0))
91.0ms	(* (* (- 1.0 (* x y)) (fma x y 1.0)) x)
109.0ms	(/ (* (* (- 1.0 (* x y)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify964.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	141	1639
1	377	1539
2	1902	1291
done	5001	1291

prune238.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample349.0ms

Algorithm

intervals

Results

188.0ms

10655×

body

valid