Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

398×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8
done	5002	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
6.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
20.0ms	(* (- t 1.0) a)
0.0ms	(fma b (- (+ y t) 2.0) x)

series340.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
83.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
30.0ms	(* (- t 1.0) a)
52.0ms	(fma b (- (+ y t) 2.0) x)

simplify97.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	260	488
1	831	429
2	4460	414
3	5001	413
done	5001	413

prune240.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.3b	(cbrt (- t 1.0))
0.3b	(cbrt (- t 1.0))
0.3b	(cbrt (- t 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 109

Calls

4 calls:

37.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
4.0ms	(cbrt (- t 1.0))
4.0ms	(cbrt (- t 1.0))
4.0ms	(cbrt (- t 1.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
93.0ms	(cbrt (- t 1.0))
93.0ms	(cbrt (- t 1.0))
92.0ms	(cbrt (- t 1.0))

simplify46.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	384	861
1	1305	823
2	5002	757
done	5002	757

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(fma b (- (+ y t) 2.0) x)
0.6b	(cbrt (fma b (- (+ y t) 2.0) x))
0.7b	(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `cube-prod` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r`
2×	`pow-pow` `pow1/3` `associate-*l/`
1×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

20.0ms	(* (- t 1.0) a)
0.0ms	(fma b (- (+ y t) 2.0) x)
1.0ms	(cbrt (fma b (- (+ y t) 2.0) x))
4.0ms	(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

series478.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- t 1.0) a)
47.0ms	(fma b (- (+ y t) 2.0) x)
176.0ms	(cbrt (fma b (- (+ y t) 2.0) x))
220.0ms	(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

simplify46.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	412	551
1	1551	490
2	5001	486
done	5001	486

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15
done	22	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

492.0ms	12537×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid