Details

sample47.0ms

Algorithm

intervals

Results

28.0ms

523×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	46	7
4	76	6
5	138	6
6	383	6
7	1359	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (fma x x (- 1.0)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

2.0ms

(exp (fma x x (- 1.0)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(exp (fma x x (- 1.0)))

simplify2.6s

Counts

17 → 17

Iterations

Useful iterations: 5 (1.4s)

Iter	Nodes	Cost
0	34	147
1	63	142
2	136	129
3	360	125
4	1068	124
5	2997	123
done	5000	123

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (fma x x (- 1.0)))
1.0b	(log1p (exp (fma x x (- 1.0))))
1.0b	(expm1 (log1p (exp (fma x x (- 1.0)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

2.0ms	(exp (fma x x (- 1.0)))
0.0ms	(log1p (exp (fma x x (- 1.0))))
0.0ms	(expm1 (log1p (exp (fma x x (- 1.0)))))

series506.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(exp (fma x x (- 1.0)))
215.0ms	(log1p (exp (fma x x (- 1.0))))
242.0ms	(expm1 (log1p (exp (fma x x (- 1.0)))))

simplify950.0ms

Counts

45 → 45

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	68	474
1	125	438
2	310	392
3	1180	381
done	5000	376

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(expm1 (log1p (cbrt (pow (exp (fma x x (- 1.0))) 3))))
1.0b	(log1p (cbrt (pow (exp (fma x x (- 1.0))) 3)))
1.0b	(pow (exp (fma x x (- 1.0))) 3)
1.5b	(cbrt (pow (exp (fma x x (- 1.0))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `cube-prod`
5×	`pow1` `expm1-log1p-u` `add-cbrt-cube`
4×	`add-exp-log` `pow-pow` `exp-sum` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `exp-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow1/3` `log1p-expm1` `pow-exp` `rem-cbrt-cube` `expm1-udef` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

0.0ms	(expm1 (log1p (cbrt (pow (exp (fma x x (- 1.0))) 3))))
1.0ms	(log1p (cbrt (pow (exp (fma x x (- 1.0))) 3)))
8.0ms	(pow (exp (fma x x (- 1.0))) 3)
7.0ms	(cbrt (pow (exp (fma x x (- 1.0))) 3))

series730.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(expm1 (log1p (cbrt (pow (exp (fma x x (- 1.0))) 3))))
223.0ms	(log1p (cbrt (pow (exp (fma x x (- 1.0))) 3)))
133.0ms	(pow (exp (fma x x (- 1.0))) 3)
54.0ms	(cbrt (pow (exp (fma x x (- 1.0))) 3))

simplify3.2s

Counts

89 → 89

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	116	1233
1	236	932
2	688	848
3	3855	824
done	5000	819

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
done	10	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

686.0ms

15750×

body

valid