Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify845.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	59	10
4	101	10
5	150	10
6	200	10
7	236	10
8	279	10
9	365	10
10	478	10
11	550	10
12	644	10
13	672	10
done	672	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.0b	(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series220.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
190.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (418.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	347	493
3	756	491
4	1990	490
done	5000	490

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.0b	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series799.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt y)
191.0ms	(cbrt y)
192.0ms	(cbrt y)
221.0ms	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

simplify2.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	49	462
1	84	450
2	193	354
3	651	310
4	3916	310
done	5001	310

prune212.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.6b	(* (cbrt (- a t)) (cbrt (- a t)))
3.0b	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
21.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
0.0ms	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

series645.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- a t))
159.0ms	(cbrt (- a t))
139.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
185.0ms	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

simplify1.1s

Counts

114 → 114

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	156	1539
1	306	1431
2	767	1251
3	2152	1127
done	5000	1127

prune383.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- a t)) (- z t) x))
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)

rewrite2.0ms

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 (- a t)) (- z t) x))
0.0ms	(fma (/ y (- a t)) (- z t) x)
0.0ms	(fma (/ y (- a t)) (- z t) x)
0.0ms	(fma (/ y (- a t)) (- z t) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

651.0ms	(cbrt (fma (/ y (- a t)) (- z t) x))
191.0ms	(fma (/ y (- a t)) (- z t) x)
187.0ms	(fma (/ y (- a t)) (- z t) x)
186.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	76	757
1	158	750
2	404	664
3	1322	651
done	5000	642

prune213.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

84.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample508.0ms

Algorithm

intervals

Results

260.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid