Details

sample270.0ms

Algorithm

intervals

Results

115.0ms	999×	body	80	nan
28.0ms	289×	body	80	valid
0.0ms	1×	body	320	valid

simplify2.1s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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)

rewrite14.0ms

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:

11.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms	(fma x (log y) z)

series538.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (fma x (log y) z) t)
384.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
75.0ms	(fma x (log y) z)

simplify2.3s

Counts

47 → 47

Iterations

Useful iterations: 3 (748.0ms)

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

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma x (log y) z) t)
0.0b	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
0.1b	(fma x (log y) z)
0.2b	(* (log c) (- b 0.5))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

9.0ms	(+ (fma x (log y) z) t)
96.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)
39.0ms	(* (log c) (- b 0.5))

series745.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (fma x (log y) z) t)
488.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
58.0ms	(fma x (log y) z)
127.0ms	(* (log c) (- b 0.5))

simplify2.0s

Counts

130 → 130

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	242	2387
1	690	1979
2	3404	1780
done	5000	1777

prune773.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

25.0ms	(* (cbrt (log c)) (cbrt (log c)))
2.0ms	(cbrt (log c))
2.0ms	(cbrt (log c))
2.0ms	(cbrt (log c))

series1.8s

Counts

4 → 12

Calls

4 calls:

488.0ms	(* (cbrt (log c)) (cbrt (log c)))
440.0ms	(cbrt (log c))
382.0ms	(cbrt (log c))
494.0ms	(cbrt (log c))

simplify988.0ms

Counts

101 → 101

Iterations

Useful iterations: done (984.0ms)

Iter	Nodes	Cost
0	66	787
1	152	690
2	616	572
done	5000	545

prune640.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (+ 0 (log c)) 2)) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (pow (+ 0 (log c)) 2))
0.5b	(pow (+ 0 (log c)) 2)
0.5b	(cbrt (log c))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
36×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
24×	`cbrt-prod`
15×	`unpow-prod-down`
14×	`pow1`
13×	`associate-l`
10×	`add-exp-log`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-r` `pow-exp` `*-commutative` `flip--`

Counts

4 → 132

Calls

4 calls:

98.0ms	(* (cbrt (pow (+ 0 (log c)) 2)) (* (cbrt (log c)) (- b 0.5)))
19.0ms	(cbrt (pow (+ 0 (log c)) 2))
34.0ms	(pow (+ 0 (log c)) 2)
2.0ms	(cbrt (log c))

series1.3s

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (pow (+ 0 (log c)) 2)) (* (cbrt (log c)) (- b 0.5)))
449.0ms	(cbrt (pow (+ 0 (log c)) 2))
288.0ms	(pow (+ 0 (log c)) 2)
413.0ms	(cbrt (log c))

simplify2.4s

Counts

144 → 144

Iterations

Useful iterations: 2 (726.0ms)

Iter	Nodes	Cost
0	250	3110
1	702	2369
2	3665	2050
done	5000	2050

prune840.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes899.0ms

Accuracy

0% (0.1b 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	18	19
1	22	19
done	22	19

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.2s	28109×	body	80	nan
1.7s	9246×	body	80	valid
1.0ms	1×	body	1280	valid