Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

287×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

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

prune13.0ms

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)

rewrite13.0ms

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:

11.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series138.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- z a))
97.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (783.0ms)

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

prune236.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite41.0ms

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)
16.0ms	(cbrt (/ y (- z a)))
7.0ms	(cbrt (/ y (- z a)))
13.0ms	(cbrt (/ y (- z a)))

series814.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (cbrt (/ y (- z a)))) (- z t) x)
205.0ms	(cbrt (/ y (- z a)))
225.0ms	(cbrt (/ y (- z a)))
213.0ms	(cbrt (/ y (- z a)))

simplify2.3s

Counts

118 → 118

Iterations

Useful iterations: done (2.3s)

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

prune617.0ms

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)))

rewrite40.0ms

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:

0.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) (- z a))))) (- z t) x)
7.0ms	(cbrt (/ (cbrt y) (- z a)))
10.0ms	(cbrt (/ y (- z a)))
11.0ms	(cbrt (/ y (- z a)))

series906.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(fma (* (* (cbrt (/ y (- z a))) (cbrt (/ y (- z a)))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) (- z a))))) (- z t) x)
302.0ms	(cbrt (/ (cbrt y) (- z a)))
202.0ms	(cbrt (/ y (- z a)))
224.0ms	(cbrt (/ y (- z a)))

simplify1.8s

Counts

133 → 133

Iterations

Useful iterations: done (1.8s)

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

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))
12.3b	(cbrt (/ y (- z a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
64×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
40×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 128

Calls

4 calls:

9.0ms	(cbrt (/ y (- z a)))
6.0ms	(cbrt (/ y (- z a)))
11.0ms	(cbrt (/ y (- z a)))
12.0ms	(cbrt (/ y (- z a)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (/ y (- z a)))
209.0ms	(cbrt (/ y (- z a)))
227.0ms	(cbrt (/ y (- z a)))
242.0ms	(cbrt (/ y (- z a)))

simplify4.1s

Counts

140 → 140

Iterations

Useful iterations: 5 (3.0s)

Iter	Nodes	Cost
0	119	1840
1	195	1760
2	368	1708
3	786	1680
4	1738	1628
5	4693	1596
done	5000	1596

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes434.0ms

Accuracy

76.4% (0.7b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

591.0ms

8791×

body

valid