Details

sample351.0ms

Algorithm

intervals

Results

188.0ms	105×	body	1280	valid
67.0ms	82×	body	640	valid
18.0ms	256×	pre	80	true
12.0ms	21×	body	320	valid
8.0ms	38×	body	80	valid
4.0ms	10×	body	160	valid

simplify6.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4724
8	1354
7	446
6	193
5	89
4	39
3	33
2	22
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
2.5b	(tan (+ y z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u`
2×	`tan-sum` `sum-log` `sub-neg` `diff-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

22.0ms	(+ x (- (tan (+ y z)) (tan a)))
14.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(tan (+ y z))

series442.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ x (- (tan (+ y z)) (tan a)))
180.0ms	(- (tan (+ y z)) (tan a))
99.0ms	(tan (+ y z))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1003
1	284
0	128

prune608.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sum-log` `associate-r` `associate-l`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

14.0ms	(+ (tan y) (tan z))
141.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
105.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
23.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (tan y) (tan z))
550.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
575.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
167.0ms	(* (tan y) (tan z))

simplify2.0s

Counts

219 → 219

Iterations

Iter	Nodes
done	5001
2	2697
1	700
0	297

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
8.1b	(cbrt (* (tan y) (tan z)))
8.1b	(cbrt (* (tan y) (tan z)))
8.1b	(cbrt (* (tan y) (tan z)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

44×	`tan-quot`
33×	`cbrt-div`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

93.0ms	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
14.0ms	(cbrt (* (tan y) (tan z)))
14.0ms	(cbrt (* (tan y) (tan z)))
15.0ms	(cbrt (* (tan y) (tan z)))

series961.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
199.0ms	(cbrt (* (tan y) (tan z)))
232.0ms	(cbrt (* (tan y) (tan z)))
243.0ms	(cbrt (* (tan y) (tan z)))

simplify959.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1135
1	291
0	122

prune935.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.3b	(* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z)))
0.4b	(* (+ (tan y) (tan z)) (+ (tan y) (tan z)))
6.9b	(cbrt (* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

212×	`tan-quot`
172×	`frac-times`
104×	`flip3-+` `frac-add` `flip-+`
63×	`cbrt-div`
58×	`associate-*l/`
34×	`associate-*r/`
32×	`pow1`
27×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`associate-r` `add-cube-cbrt`
8×	`associate-l`
7×	`pow-plus` `pow-prod-up` `distribute-lft-out`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 243

Calls

4 calls:

12.0ms	(* (tan y) (tan z))
119.0ms	(* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z)))
46.0ms	(* (+ (tan y) (tan z)) (+ (tan y) (tan z)))
75.0ms	(cbrt (* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (tan y) (tan z))
164.0ms	(* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z)))
142.0ms	(* (+ (tan y) (tan z)) (+ (tan y) (tan z)))
141.0ms	(cbrt (* (* (+ (tan y) (tan z)) (+ (tan y) (tan z))) (+ (tan y) (tan z))))

simplify1.3s

Counts

255 → 255

Iterations

Iter	Nodes
done	5001
1	1266
0	362

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes563.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample10.0s

Algorithm

intervals

Results

6.6s	3831×	body	1280	valid
1.4s	2070×	body	640	valid
561.0ms	8000×	pre	80	true
383.0ms	688×	body	320	valid
192.0ms	1139×	body	80	valid
115.0ms	272×	body	160	valid