Details

sample98.0ms

Algorithm

intervals

Results

47.0ms	64×	body	10240	exit
19.0ms	268×	body	80	valid
5.0ms	5×	body	1280	valid
4.0ms	10×	body	640	valid
2.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	19
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(fma (- y) x (log (+ 1.0 (exp x))))
0.5b	(log (+ 1.0 (exp x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `log-prod` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `rem-log-exp` `log-pow` `fma-udef`

Counts

3 → 44

Calls

3 calls:

11.0ms	(+ 1.0 (exp x))
1.0ms	(fma (- y) x (log (+ 1.0 (exp x))))
8.0ms	(log (+ 1.0 (exp x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1.0 (exp x))
99.0ms	(fma (- y) x (log (+ 1.0 (exp x))))
93.0ms	(log (+ 1.0 (exp x)))

simplify1.1s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	2077
2	499
1	170
0	82

prune298.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`fma-def` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 78

Calls

4 calls:

10.0ms	(+ 1.0 (exp x))
12.0ms	(+ 1.0 (exp x))
11.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1.0 (exp x))
15.0ms	(+ 1.0 (exp x))
144.0ms	(log (sqrt (+ 1.0 (exp x))))
139.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
3	2373
2	505
1	167
0	84

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 0.5 y) x (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 0.5 y) x (log 2.0))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(fma (- 0.5 y) x (log 2.0))

simplify2.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4257
3	374
2	76
1	38
0	23

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (fma x (- 0.5 y) (log 2.0))) (cbrt (fma x (- 0.5 y) (log 2.0)))) (cbrt (fma x (- 0.5 y) (log 2.0))))
1.0b	(cbrt (fma x (- 0.5 y) (log 2.0)))
1.0b	(cbrt (fma x (- 0.5 y) (log 2.0)))
1.0b	(cbrt (fma x (- 0.5 y) (log 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
13×	`cbrt-prod`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
6×	`pow-plus` `associate-r`
5×	`add-cbrt-cube` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 76

Calls

4 calls:

33.0ms	(* (* (cbrt (fma x (- 0.5 y) (log 2.0))) (cbrt (fma x (- 0.5 y) (log 2.0)))) (cbrt (fma x (- 0.5 y) (log 2.0))))
1.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))
1.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))
1.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (cbrt (fma x (- 0.5 y) (log 2.0))) (cbrt (fma x (- 0.5 y) (log 2.0)))) (cbrt (fma x (- 0.5 y) (log 2.0))))
239.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))
239.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))
241.0ms	(cbrt (fma x (- 0.5 y) (log 2.0)))

simplify875.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1233
1	303
0	114

prune574.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes87.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.7s	2402×	body	10240	exit
949.0ms	8365×	body	80	valid
141.0ms	261×	body	640	valid
101.0ms	137×	body	1280	valid
86.0ms	184×	body	320	valid
17.0ms	108×	body	160	valid