Details

sample57.0ms

Algorithm

intervals

Results

26.0ms

481×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	11	13
1	21	13
2	52	13
3	171	13
4	496	12
5	1885	12
done	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 1 expressions with local error:

6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (* y 4.0) (- t (* z z)) (* x x))

series116.0ms

Counts

1 → 3

Calls

1 calls:

116.0ms

(fma (* y 4.0) (- t (* z z)) (* x x))

simplify605.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	29	208
1	56	208
2	173	177
3	729	173
done	5001	173

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

series970.0ms

Counts

4 → 12

Calls

4 calls:

532.0ms	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
150.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
143.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
144.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify971.0ms

Counts

55 → 55

Iterations

Useful iterations: done (969.0ms)

Iter	Nodes	Cost
0	70	924
1	142	920
2	417	799
3	1788	781
done	5001	775

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.7b

localize26.0ms

Local error

Found 4 expressions with local error:

6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))
6.4b	(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

series606.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
166.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
153.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
134.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify697.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	29	832
1	56	832
2	173	708
3	729	692
done	5001	692

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.7b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* 4.0 t) y (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (* 4.0 t) y (* x x))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(fma (* 4.0 t) y (* x x))

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	22	140
1	32	137
2	82	121
3	290	121
4	1372	121
done	5001	121

prune42.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.7b

regimes393.0ms

Accuracy

91.5% (0.1b remaining)

Error of 5.3b against oracle of 5.2b and baseline of 5.9b

bsearch79.0ms

Steps

Iters	Range		Point
10	8.966215423231432e+294	+inf.0	1.7782743903293885e+308

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	17	26
done	17	26

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

15535×

body

valid