Details

sample77.0ms

Algorithm

intervals

Results

46.0ms

410×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

3×	`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

3 → 30

Calls

3 calls:

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

series428.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))
221.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
78.0ms	(fma b (- (+ t y) 2.0) x)

simplify1.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	841
2	261
1	112
0	61

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma b (- (+ t y) 2.0) x)) (cbrt (fma b (- (+ t y) 2.0) x)))
0.6b	(cbrt (fma b (- (+ t y) 2.0) x))
0.6b	(cbrt (fma b (- (+ t y) 2.0) x))
0.6b	(cbrt (fma b (- (+ t y) 2.0) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt (fma b (- (+ t y) 2.0) x)) (cbrt (fma b (- (+ t y) 2.0) x)))
1.0ms	(cbrt (fma b (- (+ t y) 2.0) x))
1.0ms	(cbrt (fma b (- (+ t y) 2.0) x))
2.0ms	(cbrt (fma b (- (+ t y) 2.0) x))

series1.6s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* (cbrt (fma b (- (+ t y) 2.0) x)) (cbrt (fma b (- (+ t y) 2.0) x)))
258.0ms	(cbrt (fma b (- (+ t y) 2.0) x))
707.0ms	(cbrt (fma b (- (+ t y) 2.0) x))
269.0ms	(cbrt (fma b (- (+ t y) 2.0) x))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1287
1	363
0	138

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))) (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))))
0.5b	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
0.5b	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
0.5b	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))) (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))))
1.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
1.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
1.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))

series4.9s

Counts

4 → 12

Calls

4 calls:

2.1s	(* (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))) (cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))))
927.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
939.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))
920.0ms	(cbrt (fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1038
1	300
0	125

prune958.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 31

Calls

2 calls:

6.0ms	(- (fma 1.0 z x) (* 2.0 b))
0.0ms	(fma a (- 1.0 t) (- (fma 1.0 z x) (* 2.0 b)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (fma 1.0 z x) (* 2.0 b))
140.0ms	(fma a (- 1.0 t) (- (fma 1.0 z x) (* 2.0 b)))

simplify1.6s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	3563
2	524
1	144
0	66

prune204.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes621.0ms

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

sample2.2s

Algorithm

intervals

Results

1.6s	12614×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid