Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

344×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	68	8
5	94	8
6	105	8
7	126	8
8	170	8
9	391	8
10	1517	8
done	5001	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma x y (* (- x 1.0) z))
52.0ms	(* (- x 1.0) z)

series96.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma x y (* (- x 1.0) z))
48.0ms	(* (- x 1.0) z)

simplify5.3s

Counts

40 → 40

Iterations

Useful iterations: 3 (981.0ms)

Iter	Nodes	Cost
0	64	347
1	138	332
2	498	295
3	4974	293
done	5000	293

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (* (- x 1.0) z))
0.0b	(sqrt (* (- x 1.0) z))
0.3b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

25.0ms	(* (- x 1.0) z)
20.0ms	(sqrt (* (- x 1.0) z))
16.0ms	(sqrt (* (- x 1.0) z))
94.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- x 1.0) z)
118.0ms	(sqrt (* (- x 1.0) z))
118.0ms	(sqrt (* (- x 1.0) z))
54.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify1.2s

Counts

125 → 125

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	128	1411
1	293	1044
2	1352	952
done	5001	932

prune407.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.5b	(cbrt (* (- x 1.0) z))
0.5b	(cbrt (* (- x 1.0) z))
0.5b	(cbrt (* (- x 1.0) z))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

52.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
24.0ms	(cbrt (* (- x 1.0) z))
12.0ms	(cbrt (* (- x 1.0) z))
9.0ms	(cbrt (* (- x 1.0) z))

series498.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
107.0ms	(cbrt (* (- x 1.0) z))
119.0ms	(cbrt (* (- x 1.0) z))
113.0ms	(cbrt (* (- x 1.0) z))

simplify785.0ms

Counts

92 → 92

Iterations

Useful iterations: done (781.0ms)

Iter	Nodes	Cost
0	154	1639
1	391	1492
2	1257	1355
done	5000	1275

prune502.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

rewrite597.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-div`
154×	`associate-*l/`
140×	`frac-times`
132×	`sqrt-div`
116×	`flip3--` `flip--`
54×	`pow1`
52×	`associate-*r/`
38×	`cbrt-prod` `add-sqr-sqrt`
35×	`pow-prod-down`
34×	`*-un-lft-identity`
20×	`sqrt-pow1`
16×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
10×	`swap-sqr`
8×	`add-exp-log` `pow1/3` `distribute-lft-out--`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `prod-exp` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod`

Counts

4 → 206

Calls

4 calls:

5.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
61.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
503.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- x 1.0))
151.0ms	(cbrt (- x 1.0))
164.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
121.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

simplify1.8s

Counts

218 → 218

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	415	6569
1	972	6036
2	3470	5875
done	5001	5238

prune804.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample859.0ms

Algorithm

intervals

Results

422.0ms

10160×

body

valid