Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

389×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	8
3	77	8
4	209	8
5	525	8
6	1106	8
7	2155	8
8	3703	8
done	5000	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- y z) (- t 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 z) (- t x) x)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify519.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	25	146
1	49	143
2	113	125
3	280	124
4	1237	123
done	5000	123

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- x t) z (- (* x y)))

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:

0.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify623.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	23	148
1	42	146
2	83	126
3	290	126
4	1398	126
done	5000	126

prune36.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- y z) (- t x) x)
0.0b	(sqrt (fma (- y z) (- t x) x))
0.0b	(sqrt (fma (- y z) (- t x) x))
0.2b	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (- y z) (- t x) x)
1.0ms	(sqrt (fma (- y z) (- t x) x))
1.0ms	(sqrt (fma (- y z) (- t x) x))
7.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma (- y z) (- t x) x)
178.0ms	(sqrt (fma (- y z) (- t x) x))
180.0ms	(sqrt (fma (- y z) (- t x) x))
56.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

simplify2.5s

Counts

103 → 103

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	97	1878
1	211	1307
2	705	1175
3	3401	1116
done	5001	1110

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma (- y z) (- t x) x)))
0.1b	(sqrt (sqrt (fma (- y z) (- t x) x)))
0.2b	(* (pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3) (sqrt (sqrt (fma (- y z) (- t x) x))))
0.3b	(pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 157

Calls

4 calls:

1.0ms	(sqrt (sqrt (fma (- y z) (- t x) x)))
1.0ms	(sqrt (sqrt (fma (- y z) (- t x) x)))
22.0ms	(* (pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3) (sqrt (sqrt (fma (- y z) (- t x) x))))
4.0ms	(pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

359.0ms	(sqrt (sqrt (fma (- y z) (- t x) x)))
355.0ms	(sqrt (sqrt (fma (- y z) (- t x) x)))
52.0ms	(* (pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3) (sqrt (sqrt (fma (- y z) (- t x) x))))
573.0ms	(pow (sqrt (sqrt (fma (- y z) (- t x) x))) 3)

simplify963.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	146	3958
1	384	2820
2	1507	2525
done	5001	2525

prune382.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

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
done	7	8

end0.0ms

sample625.0ms

Algorithm

intervals

Results

308.0ms

12244×

body

valid