Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	245×	body	80	valid
4.0ms	14×	body	640	valid
4.0ms	11×	body	1280	valid
4.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	1897
5	795
4	299
3	108
2	43
1	20
0	11

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.3b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

84.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series422.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(/ (- y z) (- a z))
305.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify4.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
3	2128
2	674
1	271
0	116

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
4.3b	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite650.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

375.0ms	(- (/ y (- a z)) (/ z (- a z)))
30.0ms	(/ y (- a z))
22.0ms	(/ z (- a z))
1.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series637.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- (/ y (- a z)) (/ z (- a z)))
72.0ms	(/ y (- a z))
98.0ms	(/ z (- a z))
316.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify4.7s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3085
1	1287
0	573

prune5.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize123.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
9.7b	(fma (- (/ y (- a z)) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ z (cbrt (- a z))))) (- t x) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

10.0ms	(cbrt (- a z))
10.0ms	(cbrt (- a z))
11.0ms	(cbrt (- a z))
1.0ms	(fma (- (/ y (- a z)) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ z (cbrt (- a z))))) (- t x) x)

series2.6s

Counts

4 → 12

Calls

4 calls:

436.0ms	(cbrt (- a z))
452.0ms	(cbrt (- a z))
373.0ms	(cbrt (- a z))
1.3s	(fma (- (/ y (- a z)) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ z (cbrt (- a z))))) (- t x) x)

simplify5.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	4646
3	1235
2	446
1	202
0	98

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.5b

localize88.0ms

Local error

Found 4 expressions with local error:

4.3b	(fma (- (* (* (cbrt (/ y (- a z))) (cbrt (/ y (- a z)))) (cbrt (/ y (- a z)))) (/ z (- a z))) (- t x) x)
12.8b	(cbrt (/ y (- a z)))
12.8b	(cbrt (/ y (- a z)))
12.8b	(cbrt (/ y (- a z)))

rewrite50.0ms

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:

1.0ms	(fma (- (* (* (cbrt (/ y (- a z))) (cbrt (/ y (- a z)))) (cbrt (/ y (- a z)))) (/ z (- a z))) (- t x) x)
13.0ms	(cbrt (/ y (- a z)))
14.0ms	(cbrt (/ y (- a z)))
13.0ms	(cbrt (/ y (- a z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

344.0ms	(fma (- (* (* (cbrt (/ y (- a z))) (cbrt (/ y (- a z)))) (cbrt (/ y (- a z)))) (/ z (- a z))) (- t x) x)
387.0ms	(cbrt (/ y (- a z)))
381.0ms	(cbrt (/ y (- a z)))
453.0ms	(cbrt (/ y (- a z)))

simplify4.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
4	4322
3	1128
2	456
1	236
0	141

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.5b

regimes1.6s

Accuracy

20.9% (6.6b remaining)

Error of 10.4b against oracle of 3.8b and baseline of 12.1b

bsearch179.0ms

Steps

Iters	Range		Point
7	5.671267759942078e+183	1.0537630830257486e+186	2.3521050292488217e+184
7	-7.681730801267934e+279	-9.967850971357202e+277	-1.7247362181927182e+278

simplify11.0ms

Iterations

Iter	Nodes
done	28
1	28
0	25

end0.0ms

sample2.1s

Algorithm

intervals

Results

878.0ms	7782×	body	80	valid
224.0ms	294×	body	1280	valid
199.0ms	478×	body	640	valid
110.0ms	419×	body	320	valid
44.0ms	14×	body	2560	valid
40.0ms	257×	body	160	valid