Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	257×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	320	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4826
4	1010
3	334
2	147
1	54
0	12

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
3.1b	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff` `frac-sub`
8×	`tanh-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-neg`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series950.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(tanh (/ t y))
92.0ms	(tanh (/ x y))
379.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
332.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1735
1	450
0	161

prune810.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
0.6b	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
4.0b	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

27×	`frac-sub`
22×	`associate-*l/`
20×	`add-sqr-sqrt`
19×	`tanh-def`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `associate-*r/` `add-exp-log`
9×	`prod-diff`
8×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

3.0ms	(tanh (/ x y))
23.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
72.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
88.0ms	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

series1.3s

Counts

4 → 12

Calls

4 calls:

103.0ms	(tanh (/ x y))
361.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
533.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) z)
287.0ms	(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2664
1	615
0	218

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*l/`
27×	`frac-sub`
20×	`add-sqr-sqrt`
19×	`tanh-def`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

126.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
6.0ms	(tanh (/ x y))
22.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
49.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

541.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
137.0ms	(tanh (/ x y))
383.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
419.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	3043
1	623
0	223

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize126.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)) (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)))
1.1b	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.1b	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.1b	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

308×	`associate-*l/`
264×	`cbrt-div`
243×	`frac-sub`
162×	`tanh-def`
121×	`frac-times`
28×	`add-sqr-sqrt`
27×	`flip3--` `flip--`
20×	`*-un-lft-identity`
19×	`associate-l`
17×	`pow1`
14×	`add-cube-cbrt`
13×	`associate-r`
12×	`add-exp-log`
11×	`associate-*r/`
10×	`add-cbrt-cube`
6×	`pow1/3`
5×	`pow-prod-down`
4×	`cbrt-prod` `expm1-log1p-u` `swap-sqr` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 275

Calls

4 calls:

167.0ms	(* (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)) (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)))
51.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
45.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
46.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series2.1s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)) (cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) y)))
376.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
337.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
338.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.4s

Counts

287 → 287

Iterations

Iter	Nodes
done	5002
2	3155
1	938
0	493

prune2.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

regimes247.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample936.0ms

Algorithm

intervals

Results

614.0ms	8352×	body	80	valid
34.0ms	64×	body	320	valid
19.0ms	100×	body	640	valid
8.0ms	29×	body	1280	valid
4.0ms	39×	body	160	valid