Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	296×	body	80	valid
15.0ms	297×	body	80	nan

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.3s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma (- a 0.5) b (+ x y))
0.1b	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

9.0ms	(- 1 (log t))
0.0ms	(fma (- a 0.5) b (+ x y))
0.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series495.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(- 1 (log t))
65.0ms	(fma (- a 0.5) b (+ x y))
244.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.1s

Counts

65 → 65

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	114	848
1	218	656
2	471	543
3	1639	507
done	5000	506

prune303.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (* (- a 0.5) b) (+ x y))
0.0b	(* (- a 0.5) b)
0.1b	(fma z (- 1 (log t)) (+ (* (- a 0.5) b) (+ x y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(- 1 (log t))
28.0ms	(+ (* (- a 0.5) b) (+ x y))
37.0ms	(* (- a 0.5) b)
1.0ms	(fma z (- 1 (log t)) (+ (* (- a 0.5) b) (+ x y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- 1 (log t))
77.0ms	(+ (* (- a 0.5) b) (+ x y))
45.0ms	(* (- a 0.5) b)
257.0ms	(fma z (- 1 (log t)) (+ (* (- a 0.5) b) (+ x y)))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	201	1362
1	511	1087
2	1781	964
done	5002	928

prune411.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
0.0b	(fma (- a 0.5) b (+ x y))
0.2b	(* (log t) z)
0.3b	(- z (* (log t) z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

25.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
0.0ms	(fma (- a 0.5) b (+ x y))
9.0ms	(* (log t) z)
6.0ms	(- z (* (log t) z))

series414.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
56.0ms	(fma (- a 0.5) b (+ x y))
68.0ms	(* (log t) z)
54.0ms	(- z (* (log t) z))

simplify3.0s

Counts

90 → 90

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	130	1028
1	295	953
2	860	885
3	3996	848
done	5000	847

prune353.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (fma z (- (log t)) (pow (cbrt z) 3)) (* (* 0 (log t)) z)) (fma (- a 0.5) b (+ x y)))
0.2b	(fma z (- (log t)) (pow (cbrt z) 3))
0.5b	(cbrt z)
0.7b	(pow (cbrt z) 3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `sum-log`
2×	`pow-pow` `pow1/3` `fma-udef`
1×	`+-commutative` `cube-mult` `pow-to-exp` `associate-+l+` `associate-+r+` `flip3-+` `unpow3` `pow-exp` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

27.0ms	(+ (+ (fma z (- (log t)) (pow (cbrt z) 3)) (* (* 0 (log t)) z)) (fma (- a 0.5) b (+ x y)))
0.0ms	(fma z (- (log t)) (pow (cbrt z) 3))
1.0ms	(cbrt z)
4.0ms	(pow (cbrt z) 3)

series1.0s

Counts

4 → 12

Calls

4 calls:

376.0ms	(+ (+ (fma z (- (log t)) (pow (cbrt z) 3)) (* (* 0 (log t)) z)) (fma (- a 0.5) b (+ x y)))
105.0ms	(fma z (- (log t)) (pow (cbrt z) 3))
228.0ms	(cbrt z)
293.0ms	(pow (cbrt z) 3)

simplify2.2s

Counts

87 → 87

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	130	1100
1	306	764
2	858	665
3	3211	601
done	5000	598

prune389.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes463.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	25
1	26	25
done	26	25

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	9130×	body	80	nan
851.0ms	9153×	body	80	valid
0.0ms	1×	body	160	valid