Details

sample116.0ms

Algorithm

intervals

Results

39.0ms	295×	body	80	valid
23.0ms	318×	body	80	nan

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.5s)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

11.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series575.0ms

Counts

2 → 6

Calls

2 calls:

256.0ms	(- 1 (log t))
320.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify3.1s

Counts

52 → 52

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	103	714
1	202	524
2	431	427
3	1443	391
done	5002	390

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

56.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
13.0ms	(- z (* (log t) z))
16.0ms	(* (log t) z)

series497.0ms

Counts

3 → 9

Calls

3 calls:

312.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
77.0ms	(- z (* (log t) z))
107.0ms	(* (log t) z)

simplify3.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	122	894
1	285	837
2	840	769
3	3984	732
done	5000	732

prune296.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (fma (- z) (log t) (pow (cbrt z) 3)) (* z (* (log t) 0))) (fma (- a 0.5) b (+ x y)))
0.3b	(fma (- z) (log t) (pow (cbrt z) 3))
0.6b	(cbrt z)
0.7b	(pow (cbrt z) 3)

rewrite35.0ms

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:

29.0ms	(+ (+ (fma (- z) (log t) (pow (cbrt z) 3)) (* z (* (log t) 0))) (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:

339.0ms	(+ (+ (fma (- z) (log t) (pow (cbrt z) 3)) (* z (* (log t) 0))) (fma (- a 0.5) b (+ x y)))
104.0ms	(fma (- z) (log t) (pow (cbrt z) 3))
285.0ms	(cbrt z)
294.0ms	(pow (cbrt z) 3)

simplify3.3s

Counts

87 → 87

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	130	1100
1	308	764
2	818	665
3	2972	601
done	5001	598

prune361.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(* (cbrt (log t)) (cbrt (log t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 89

Calls

4 calls:

1.0ms	(cbrt (log t))
8.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
13.0ms	(* (cbrt (log t)) (cbrt (log t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

381.0ms	(cbrt (log t))
359.0ms	(cbrt (log t))
380.0ms	(cbrt (log t))
406.0ms	(* (cbrt (log t)) (cbrt (log t)))

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	66	787
1	125	690
2	319	571
3	1110	529
done	5000	523

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes367.0ms

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 (0.0ms)

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

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	9173×	body	80	valid
690.0ms	9069×	body	80	nan
0.0ms	1×	body	160	valid