Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	269×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
9×	`frac-sub`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`tanh-def`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r` `add-log-exp`
4×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

4.0ms	(tanh (/ t y))
16.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
100.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series896.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(tanh (/ t y))
530.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
239.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.1s

Counts: 69 → 69

prune395.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(tanh (/ t y))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`distribute-rgt-in` `distribute-lft-in` `frac-sub`
13×	`tanh-def`
11×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`sub-neg`
9×	`*-un-lft-identity`
8×	`associate-+r+`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms	(tanh (/ t y))
63.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
149.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

574.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
137.0ms	(tanh (/ t y))
313.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
231.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.2s

Counts: 113 → 113

prune584.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.1b	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
34×	`pow1` `add-exp-log`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`frac-sub`
12×	`sub-neg` `tanh-def`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
155.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
319.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt z)
286.0ms	(cbrt z)
363.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
288.0ms	(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.4s

Counts: 129 → 129

prune585.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(pow (cbrt z) 3)
1.8b	(* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y))))
2.1b	(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
36×	`prod-exp`
33×	`associate-*r/`
21×	`add-cbrt-cube`
19×	`pow1`
18×	`frac-sub` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`tanh-def`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-prod` `pow-prod-down`
6×	`sub-neg` `unpow-prod-down` `cube-prod` `associate-r`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `pow1/3` `associate-l` `*-commutative` `flip--`
1×	`cube-mult` `unpow3` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

2.0ms	(cbrt z)
7.0ms	(pow (cbrt z) 3)
100.0ms	(* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y))))
255.0ms	(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt z)
304.0ms	(pow (cbrt z) 3)
566.0ms	(* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y))))
333.0ms	(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (pow (cbrt z) 3)) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.2s

Counts: 138 → 138

prune624.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8336×	body	80	valid
30.0ms	108×	body	640	valid
14.0ms	45×	body	1280	valid
9.0ms	50×	body	320	valid
5.0ms	35×	body	160	valid