Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

363×

body

valid

simplify152.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	16	7
2	36	7
3	79	7
4	117	7
5	129	7
6	131	7
done	131	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z y))
6.1b	(* (- (* x y) (* z y)) t)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

15.0ms	(- (* x y) (* z y))
40.0ms	(* (- (* x y) (* z y)) t)

series125.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x y) (* z y))
71.0ms	(* (- (* x y) (* z y)) t)

simplify2.5s

Counts

46 → 46

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	69	521
1	174	408
2	636	369
3	2964	368
done	5001	362

prune116.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- z) y))
6.1b	(* (+ (* x y) (* (- z) y)) t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-neg-out` `expm1-log1p-u` `distribute-rgt-out` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

8.0ms	(+ (* x y) (* (- z) y))
23.0ms	(* (+ (* x y) (* (- z) y)) t)

series92.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x y) (* (- z) y))
55.0ms	(* (+ (* x y) (* (- z) y)) t)

simplify3.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	66	545
1	185	393
2	780	355
3	3754	346
done	5000	346

prune111.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (cbrt (+ (* x y) (* (- z) y))) (cbrt (+ (* x y) (* (- z) y)))) (* t (cbrt (* y (- x z)))))
8.9b	(cbrt (+ (* x y) (* (- z) y)))
8.9b	(cbrt (+ (* x y) (* (- z) y)))
8.9b	(cbrt (* y (- x z)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
46×	`associate-*r/`
28×	`frac-times`
20×	`flip3-+` `flip-+`
16×	`pow1` `add-exp-log`
14×	`associate-*l/`
10×	`flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`distribute-rgt-out`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

148.0ms	(* (* (cbrt (+ (* x y) (* (- z) y))) (cbrt (+ (* x y) (* (- z) y)))) (* t (cbrt (* y (- x z)))))
5.0ms	(cbrt (+ (* x y) (* (- z) y)))
5.0ms	(cbrt (+ (* x y) (* (- z) y)))
7.0ms	(cbrt (* y (- x z)))

series992.0ms

Counts

4 → 12

Calls

4 calls:

491.0ms	(* (* (cbrt (+ (* x y) (* (- z) y))) (cbrt (+ (* x y) (* (- z) y)))) (* t (cbrt (* y (- x z)))))
173.0ms	(cbrt (+ (* x y) (* (- z) y)))
124.0ms	(cbrt (+ (* x y) (* (- z) y)))
203.0ms	(cbrt (* y (- x z)))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	218	3337
1	587	2719
2	1793	2267
done	5001	2098

prune502.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* t y) (- x z))
7.4b	(cbrt (* (* t y) (- x z)))
7.4b	(cbrt (* (* t y) (- x z)))
7.4b	(cbrt (* (* t y) (- x z)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

30.0ms	(* (* t y) (- x z))
16.0ms	(cbrt (* (* t y) (- x z)))
21.0ms	(cbrt (* (* t y) (- x z)))
16.0ms	(cbrt (* (* t y) (- x z)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* t y) (- x z))
153.0ms	(cbrt (* (* t y) (- x z)))
162.0ms	(cbrt (* (* t y) (- x z)))
170.0ms	(cbrt (* (* t y) (- x z)))

simplify3.4s

Counts

97 → 97

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	162	1494
1	394	1303
2	1162	1110
3	4449	1041
done	5000	1041

prune311.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

55.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 7.4b

bsearch71.0ms

Steps

Iters	Range		Point
7	3.362650310007185e+55	5.488300171769501e+57	1.4467463016205603e+56
8	-4.0100247977430225e-104	-1.4673813471923265e-106	-2.6726654310499567e-104

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	52
1	38	52
2	42	52
3	43	52
done	43	52

end0.0ms

sample1.1s

Algorithm

intervals

Results

637.0ms

10626×

body

valid