Details

sample80.0ms

Algorithm

intervals

Results

33.0ms

396×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2113
3	423
2	118
1	38
0	18

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
0.0b	(fma b (- (+ t y) 2.0) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
0.0ms	(fma b (- (+ t y) 2.0) x)

series303.0ms

Counts

2 → 6

Calls

2 calls:

234.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
69.0ms	(fma b (- (+ t y) 2.0) x)

simplify1.9s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
4	4334
3	658
2	225
1	96
0	49

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- (+ t y) 2.0) x)
0.0b	(sqrt (fma b (- (+ t y) 2.0) x))
0.0b	(sqrt (fma b (- (+ t y) 2.0) x))
0.2b	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma b (- (+ t y) 2.0) x)
3.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
2.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
22.0ms	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(fma b (- (+ t y) 2.0) x)
263.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
314.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
67.0ms	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3958
2	659
1	209
0	94

prune769.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- (+ t y) 2.0) x)
0.0b	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
0.0b	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
0.2b	(* (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))) (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma b (- (+ t y) 2.0) x)
2.0ms	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
2.0ms	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
19.0ms	(* (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))) (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))))

series17.3s

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma b (- (+ t y) 2.0) x)
8.9s	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
8.1s	(sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x))))
286.0ms	(* (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))) (sqrt (fma (- 1.0 y) z (fma (- 1.0 t) a (fma b (- (+ t y) 2.0) x)))))

simplify569.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1000
1	281
0	121

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- (+ t y) 2.0) x)
0.0b	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
0.1b	(pow (fma b (- (+ t y) 2.0) x) 3)
41.3b	(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma b (- (+ t y) 2.0) x)
0.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
4.0ms	(pow (fma b (- (+ t y) 2.0) x) 3)
4.0ms	(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

series778.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma b (- (+ t y) 2.0) x)
211.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
416.0ms	(pow (fma b (- (+ t y) 2.0) x) 3)
86.0ms	(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1365
1	275
0	107

prune621.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes628.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	12454×	body	80	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid