Details

sample247.0ms

Algorithm

intervals

Results

80.0ms	854×	body	80	nan
56.0ms	289×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	448	18
4	1850	18
done	5000	18

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 38

Calls

3 calls:

26.0ms	(+ (fma x (log y) z) t)
1.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms	(fma x (log y) z)

series595.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (fma x (log y) z) t)
452.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
79.0ms	(fma x (log y) z)

simplify2.2s

Counts

47 → 47

Iterations

Useful iterations: 3 (431.0ms)

Iter	Nodes	Cost
0	81	541
1	182	529
2	543	469
3	3588	456
done	5000	456

prune358.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma (log c) (- b 0.5) (+ a (+ z (fma (log y) x t))))
1.0ms	(fma (log y) x t)

series607.0ms

Counts

2 → 6

Calls

2 calls:

476.0ms	(fma (log c) (- b 0.5) (+ a (+ z (fma (log y) x t))))
131.0ms	(fma (log y) x t)

simplify815.0ms

Counts

26 → 26

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	59	337
1	105	334
2	240	287
3	1059	280
done	5001	270

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

102.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ z (fma (log y) x t))))
1.0ms	(fma (log y) x t)
50.0ms	(* (log c) (- b 0.5))

series791.0ms

Counts

3 → 9

Calls

3 calls:

512.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ z (fma (log y) x t))))
148.0ms	(fma (log y) x t)
132.0ms	(* (log c) (- b 0.5))

simplify1.8s

Counts

109 → 109

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	225	2183
1	629	1797
2	3209	1598
done	5000	1597

prune679.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(* (cbrt (log c)) (cbrt (log c)))

rewrite25.0ms

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 c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
19.0ms	(* (cbrt (log c)) (cbrt (log c)))

series1.5s

Counts

4 → 12

Calls

4 calls:

338.0ms	(cbrt (log c))
426.0ms	(cbrt (log c))
379.0ms	(cbrt (log c))
402.0ms	(* (cbrt (log c)) (cbrt (log c)))

simplify828.0ms

Counts

101 → 101

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	66	787
1	152	690
2	626	572
done	5000	545

prune725.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes770.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	19	18
done	19	18

end0.0ms

sample10.2s

Algorithm

intervals

Results

5.1s	27506×	body	80	nan
1.3s	9211×	body	80	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	640	valid
1.0ms	1×	body	1280	valid