Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

364×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	44	7
4	58	7
done	58	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

13.0ms	(- 1.0 (* x y))
39.0ms	(* x (- 1.0 (* x y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 1.0 (* x y))
75.0ms	(* x (- 1.0 (* x y)))

simplify2.3s

Counts

58 → 58

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	81	616
1	171	607
2	438	532
3	1442	520
done	5001	466

prune194.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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:

70.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

367.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
304.0ms	(cbrt (- 1.0 (* x y)))
310.0ms	(cbrt (- 1.0 (* x y)))
309.0ms	(cbrt (- 1.0 (* x y)))

simplify2.9s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	152	2108
1	370	1928
2	1192	1787
3	4417	1474
done	5000	1474

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
4.7b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
22×	`add-sqr-sqrt`
18×	`cbrt-div`
14×	`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` `associate-*l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

37.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
16.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
15.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
314.0ms	(cbrt (- 1.0 (* x y)))
357.0ms	(cbrt (- 1.0 (* x y)))
209.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

simplify3.1s

Counts

105 → 105

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	175	2034
1	409	1837
2	1312	1713
3	4946	1458
done	5000	1458

prune546.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
1.1b	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
4.7b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
4.7b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div` `associate-*l/`
16×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `associate-/l/`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 72

Calls

4 calls:

4.0ms	(cbrt (- 1.0 (* x y)))
43.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
8.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
8.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

369.0ms	(cbrt (- 1.0 (* x y)))
329.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
210.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
206.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	180	2263
1	491	2073
2	1763	1689
done	5000	1457

prune526.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample932.0ms

Algorithm

intervals

Results

481.0ms

10554×

body

valid