Details

sample74.0ms

Algorithm

intervals

Results

33.0ms

396×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (449.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	118	19
3	416	19
4	1377	18
done	5000	18

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
0.0b	(- (+ y t) 2.0)
0.0b	(fma a (- 1.0 t) x)
0.0b	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-udef`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
61.0ms	(- (+ y t) 2.0)
0.0ms	(fma a (- 1.0 t) x)
0.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
18.0ms	(- (+ y t) 2.0)
43.0ms	(fma a (- 1.0 t) x)
268.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	124	1058
1	250	934
2	611	781
3	2681	716
done	5000	707

prune388.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (- 1.0 t) x)) (cbrt (fma a (- 1.0 t) x)))
0.5b	(cbrt (fma a (- 1.0 t) x))
0.5b	(cbrt (fma a (- 1.0 t) x))
0.5b	(cbrt (fma a (- 1.0 t) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (cbrt (fma a (- 1.0 t) x)) (cbrt (fma a (- 1.0 t) x)))
1.0ms	(cbrt (fma a (- 1.0 t) x))
1.0ms	(cbrt (fma a (- 1.0 t) x))
1.0ms	(cbrt (fma a (- 1.0 t) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt (fma a (- 1.0 t) x)) (cbrt (fma a (- 1.0 t) x)))
267.0ms	(cbrt (fma a (- 1.0 t) x))
235.0ms	(cbrt (fma a (- 1.0 t) x))
234.0ms	(cbrt (fma a (- 1.0 t) x))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	139	1814
1	328	1666
2	853	1538
3	2373	1233
done	5000	1172

prune631.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a (- 1.0 t) x)
0.0b	(fma b (/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y))) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
0.0b	(* (+ y t) (+ y t))
14.1b	(/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `distribute-lft-out`
20×	`times-frac`
19×	`add-cube-cbrt`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`swap-sqr` `difference-of-squares`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-r/` `associate-l/` `associate-/r/` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

1.0ms	(fma a (- 1.0 t) x)
1.0ms	(fma b (/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y))) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
66.0ms	(* (+ y t) (+ y t))
135.0ms	(/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma a (- 1.0 t) x)
450.0ms	(fma b (/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y))) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
24.0ms	(* (+ y t) (+ y t))
102.0ms	(/ (- (* (+ y t) (+ y t)) (* 2.0 2.0)) (+ 2.0 (+ t y)))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	195	2342
1	521	2199
2	2026	2015
done	5001	1697

prune485.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
262×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
135×	`add-cube-cbrt`
77×	`fma-def`
50×	`distribute-lft-out--`
30×	`associate-/r*`
26×	`distribute-lft-out`
25×	`difference-of-squares`
18×	`associate-/r/`
17×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`div-inv`
8×	`flip3--` `div-exp` `flip--`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`+-commutative` `associate-+r+` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 267

Calls

4 calls:

214.0ms	(+ (/ b (/ 1 (- (+ t y) 2.0))) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
0.0ms	(fma a (- 1.0 t) x)
46.0ms	(/ 1 (- (+ t y) 2.0))
61.0ms	(/ b (/ 1 (- (+ t y) 2.0)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(+ (/ b (/ 1 (- (+ t y) 2.0))) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
40.0ms	(fma a (- 1.0 t) x)
61.0ms	(/ 1 (- (+ t y) 2.0))
35.0ms	(/ b (/ 1 (- (+ t y) 2.0)))

simplify1.0s

Counts

279 → 279

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	279	3437
1	620	2700
2	1557	2524
done	5000	2517

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s	12535×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid