Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify963.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	62	8
5	82	8
6	93	8
7	114	8
8	151	8
9	213	8
10	284	8
11	340	8
12	371	8
13	394	8
14	398	8
done	398	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

9.0ms	(+ (* x y) (* (- x 1.0) z))
27.0ms	(* (- x 1.0) z)

series431.0ms

Counts

2 → 6

Calls

2 calls:

397.0ms	(+ (* x y) (* (- x 1.0) z))
33.0ms	(* (- x 1.0) z)

simplify3.0s

Counts

44 → 44

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	75	437
1	199	390
2	731	361
3	3329	361
done	5000	359

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	21	146
1	37	140
2	80	121
3	278	121
4	1750	121
done	5000	121

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
0.0b	(- (* x x) (* 1.0 1.0))
2.9b	(* (- (* x x) (* 1.0 1.0)) z)
7.1b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

29.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
14.0ms	(- (* x x) (* 1.0 1.0))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
26.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
52.0ms	(- (* x x) (* 1.0 1.0))
55.0ms	(* (- (* x x) (* 1.0 1.0)) z)
63.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	141	1455
1	402	1343
2	1634	1185
done	5000	974

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-+r+`
9×	`prod-diff`
6×	`*-un-lft-identity` `add-log-exp`
5×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-in`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `distribute-rgt-out--` `fma-def` `flip3-+` `fma-neg` `diff-log` `sum-log` `flip--` `flip-+`

Counts

2 → 43

Calls

2 calls:

12.0ms	(+ (* x y) (* 1.0 (- (* x z) z)))
16.0ms	(- (* x z) z)

series74.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x y) (* 1.0 (- (* x z) z)))
27.0ms	(- (* x z) z)

simplify2.0s

Counts

49 → 49

Iterations

Useful iterations: 3 (668.0ms)

Iter	Nodes	Cost
0	93	616
1	244	525
2	706	469
3	2987	459
done	5000	459

prune153.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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

sample923.0ms

Algorithm

intervals

Results

605.0ms

10090×

body

valid