Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

319×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (115.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	106	16
4	228	16
5	392	15
6	1047	15
7	4774	15
done	5000	15

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.6b	(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
5.0ms	(/ (fma z (- 1.0 t) 1) z)

series141.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
40.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	80	669
1	143	659
2	385	590
3	1854	590
done	5001	589

prune162.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ 1 z) 1.0) t)
0.1b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-log-exp`
5×	`fma-neg` `div-inv`
3×	`distribute-lft-out--`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `fma-udef` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

162.0ms	(- (+ (/ 1 z) 1.0) t)
1.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (+ (/ 1 z) 1.0) t)
73.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify2.7s

Counts

56 → 56

Iterations

Useful iterations: 3 (840.0ms)

Iter	Nodes	Cost
0	88	910
1	193	773
2	623	632
3	4531	577
done	5000	577

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t)
0.1b	(fma (+ (- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t) (- t t)) (/ 2.0 t) (/ x y))
0.2b	(cbrt (+ (/ 1 z) 1.0))
0.3b	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
66×	`prod-diff`
63×	`add-sqr-sqrt`
57×	`cbrt-prod`
52×	`add-cube-cbrt`
42×	`unpow-prod-down` `cube-prod`
22×	`fma-neg` `distribute-lft-out`
11×	`div-inv`
6×	`add-log-exp` `difference-of-squares` `sqr-pow`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`cube-div` `pow-pow` `flip3-+` `pow1/3` `flip-+`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 174

Calls

4 calls:

446.0ms	(- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t)
0.0ms	(fma (+ (- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t) (- t t)) (/ 2.0 t) (/ x y))
14.0ms	(cbrt (+ (/ 1 z) 1.0))
35.0ms	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

series496.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t)
65.0ms	(fma (+ (- (pow (cbrt (+ (/ 1 z) 1.0)) 3) t) (- t t)) (/ 2.0 t) (/ x y))
99.0ms	(cbrt (+ (/ 1 z) 1.0))
316.0ms	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

simplify1.9s

Counts

186 → 186

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	220	4048
1	627	2562
2	2829	1866
done	5000	1864

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 z) (- 1.0 t))
0.0b	(+ (* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t))) (/ x y))
0.2b	(* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
19×	`times-frac` `frac-add`
14×	`fma-def`
13×	`associate-l`
11×	`associate-+r+`
10×	`add-log-exp`
9×	`prod-diff`
8×	`add-exp-log` `frac-times` `associate-*r/` `add-cbrt-cube` `distribute-lft-out`
7×	`associate-r`
6×	`flip3-+` `flip-+` `div-inv`
5×	`pow1` `flip3--` `flip--`
4×	`distribute-lft-out--`
3×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `diff-log` `div-exp` `pow-prod-down` `*-commutative`

Counts

3 → 118

Calls

3 calls:

31.0ms	(+ (/ 1 z) (- 1.0 t))
40.0ms	(+ (* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t))) (/ x y))
106.0ms	(* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ 1 z) (- 1.0 t))
62.0ms	(+ (* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t))) (/ x y))
39.0ms	(* (/ 2.0 t) (+ (/ 1 z) (- 1.0 t)))

simplify2.2s

Counts

127 → 127

Iterations

Useful iterations: 2 (709.0ms)

Iter	Nodes	Cost
0	227	2059
1	781	1868
2	4488	1710
done	5000	1710

prune461.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes174.0ms

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	12	15
1	15	15
done	15	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

10361×

body

valid