Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

489×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(exp (fma x x (- 1.0)))

rewrite3.0ms

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)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: 5 (1.2s)

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

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (exp (fma x x (- 1.0)))) (sqrt (exp (fma x x (- 1.0)))))
0.1b	(exp (fma x x (- 1.0)))
0.1b	(exp (fma x x (- 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`sqrt-pow1`
24×	`exp-prod`
22×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
9×	`swap-sqr`
8×	`pow1/2` `pow-prod-up`
7×	`associate-r` `associate-l`
6×	`exp-sum` `pow-prod-down` `pow-sqr` `fma-udef`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rem-exp-log`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 91

Calls

3 calls:

28.0ms	(* (sqrt (exp (fma x x (- 1.0)))) (sqrt (exp (fma x x (- 1.0)))))
2.0ms	(exp (fma x x (- 1.0)))
2.0ms	(exp (fma x x (- 1.0)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (sqrt (exp (fma x x (- 1.0)))) (sqrt (exp (fma x x (- 1.0)))))
29.0ms	(exp (fma x x (- 1.0)))
30.0ms	(exp (fma x x (- 1.0)))

simplify2.6s

Counts

100 → 100

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	95	1452
1	167	969
2	419	850
3	1091	805
4	3718	761
done	5000	754

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp x) x)
0.0b	(* (pow (exp x) x) (exp (- 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-l`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `add-exp-log` `pow-unpow` `exp-prod` `associate-r` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`exp-neg` `expm1-log1p-u` `pow-to-exp` `associate-*r/` `pow-exp` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `exp-diff` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

2 → 52

Calls

2 calls:

4.0ms	(pow (exp x) x)
28.0ms	(* (pow (exp x) x) (exp (- 1.0)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(pow (exp x) x)
123.0ms	(* (pow (exp x) x) (exp (- 1.0)))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: 3 (427.0ms)

Iter	Nodes	Cost
0	85	520
1	179	478
2	492	418
3	1601	409
done	5001	409

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* 2 (fma x x (- 1.0))))
0.2b	(pow (exp (* 2 (fma x x (- 1.0)))) 1/2)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`unpow-prod-down` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum` `fma-udef`
3×	`pow1` `pow-unpow` `pow-pow`
2×	`add-exp-log` `distribute-rgt-in` `expm1-log1p-u` `exp-prod` `exp-to-pow` `distribute-lft-in` `add-cbrt-cube` `log1p-expm1-u`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `unpow1/2` `sqr-pow`

Counts

2 → 38

Calls

2 calls:

4.0ms	(exp (* 2 (fma x x (- 1.0))))
10.0ms	(pow (exp (* 2 (fma x x (- 1.0)))) 1/2)

series216.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(exp (* 2 (fma x x (- 1.0))))
183.0ms	(pow (exp (* 2 (fma x x (- 1.0)))) 1/2)

simplify1.4s

Counts

44 → 44

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	77	523
1	175	473
2	389	423
3	1134	381
done	5001	364

prune85.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample572.0ms

Algorithm

intervals

Results

330.0ms

15849×

body

valid