Details

sample50.0ms

Algorithm

intervals

Results

25.0ms

420×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	59	14
3	109	14
4	202	14
5	363	14
6	824	14
7	1874	13
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x z) y)
0.1b	(fma (/ (+ x z) y) (- x z) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `associate-/l*`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 45

Calls

2 calls:

25.0ms	(/ (+ x z) y)
0.0ms	(fma (/ (+ x z) y) (- x z) y)

series115.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ x z) y)
77.0ms	(fma (/ (+ x z) y) (- x z) y)

simplify2.9s

Counts

51 → 51

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	82	534
1	165	520
2	420	480
3	1029	480
4	2996	477
done	5001	477

prune198.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.2b	(* (+ x z) (/ 1 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `associate-l` `prod-exp`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3-+` `div-exp` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `distribute-lft-out`

Counts

2 → 53

Calls

2 calls:

0.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
31.0ms	(* (+ x z) (/ 1 y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
48.0ms	(* (+ x z) (/ 1 y))

simplify2.9s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	114	685
1	271	555
2	797	476
3	2547	470
done	5000	470

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
4.4b	(cbrt (/ (+ x z) y))
4.4b	(cbrt (/ (+ x z) y))
4.4b	(cbrt (/ (+ x z) y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

76.0ms	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
7.0ms	(cbrt (/ (+ x z) y))
6.0ms	(cbrt (/ (+ x z) y))
10.0ms	(cbrt (/ (+ x z) y))

series731.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
179.0ms	(cbrt (/ (+ x z) y))
170.0ms	(cbrt (/ (+ x z) y))
150.0ms	(cbrt (/ (+ x z) y))

simplify2.0s

Counts

188 → 188

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	199	3112
1	368	2921
2	969	2820
3	2170	2649
done	5000	2599

prune888.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ (+ x z) y) (- x z) y)) (cbrt (fma (/ (+ x z) y) (- x z) y)))
0.5b	(cbrt (fma (/ (+ x z) y) (- x z) y))
0.5b	(cbrt (fma (/ (+ x z) y) (- x z) y))
0.5b	(cbrt (fma (/ (+ x z) y) (- x z) y))

rewrite18.0ms

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:

12.0ms	(* (cbrt (fma (/ (+ x z) y) (- x z) y)) (cbrt (fma (/ (+ x z) y) (- x z) y)))
1.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))
1.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))
1.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (fma (/ (+ x z) y) (- x z) y)) (cbrt (fma (/ (+ x z) y) (- x z) y)))
256.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))
290.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))
268.0ms	(cbrt (fma (/ (+ x z) y) (- x z) y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	108	2087
1	229	1940
2	640	1775
3	1907	1496
done	5000	1465

prune471.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes301.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

13842×

body

valid