Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

287×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.1b	(fma (/ y (- z a)) (- z t) x)

rewrite22.0ms

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:

20.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series147.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ y (- z a))
109.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (759.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune202.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
6.0ms	(cbrt (/ y (- z a)))
6.0ms	(cbrt (/ y (- z a)))
7.0ms	(cbrt (/ y (- z a)))

series935.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
278.0ms	(cbrt (/ y (- z a)))
252.0ms	(cbrt (/ y (- z a)))
244.0ms	(cbrt (/ y (- z a)))

simplify2.6s

Counts

118 → 118

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	137	1735
1	228	1675
2	456	1454
3	1113	1400
4	3274	1361
done	5000	1349

prune673.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) (- z a))))) (- z t) x)
3.2b	(cbrt (/ (cbrt y) (- z a)))
12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
63×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
39×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) (- z a))))) (- z t) x)
9.0ms	(cbrt (/ (cbrt y) (- z a)))
6.0ms	(cbrt (/ y (- z a)))
8.0ms	(cbrt (/ y (- z a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

159.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) (- z a))))) (- z t) x)
393.0ms	(cbrt (/ (cbrt y) (- z a)))
242.0ms	(cbrt (/ y (- z a)))
278.0ms	(cbrt (/ y (- z a)))

simplify1.9s

Counts

133 → 133

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	257	2202
1	436	2120
2	935	2011
3	2496	1984
done	5001	1941

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- z a)) (- z t) x))
2.1b	(fma (/ y (- z a)) (- z t) x)
2.1b	(fma (/ y (- z a)) (- z t) x)
2.1b	(fma (/ y (- z a)) (- z t) x)

rewrite4.0ms

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:

2.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series717.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
145.0ms	(fma (/ y (- z a)) (- z t) x)
120.0ms	(fma (/ y (- z a)) (- z t) x)
126.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (372.0ms)

Iter	Nodes	Cost
0	47	715
1	84	713
2	165	631
3	409	624
4	1494	620
done	5000	620

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes328.0ms

Accuracy

76.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

570.0ms

8791×

body

valid