Details

Time bar (total: 11.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms272×body80valid
0.0ms2×body640valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
15415
214115
330515
492415
5298915
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
4.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×frac-sub
8×pow1 add-exp-log add-cbrt-cube tanh-def
6×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×add-cube-cbrt
3×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 55
Calls
3 calls:
1.0ms
(tanh (/ x y))
1.0ms
(tanh (/ t y))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series326.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(tanh (/ x y))
82.0ms
(tanh (/ t y))
162.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify638.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01471098
14281073
21857997
done5000997

prune397.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
1.2b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
14×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
9×*-un-lft-identity
7×add-cube-cbrt
6×sub-neg associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- *-commutative flip--
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
1.0ms
(tanh (/ x y))
1.0ms
(tanh (/ t y))
23.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
38.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(tanh (/ x y))
82.0ms
(tanh (/ t y))
212.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
161.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify575.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
01811885
14721857
218461739
done50011739

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.8b
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
4.0b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
36×pow1 add-exp-log
34×distribute-rgt-in distribute-lft-in
27×frac-sub
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
15×add-sqr-sqrt
14×sub-neg
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×cbrt-prod associate-*r*
4×add-log-exp
3×flip3-- *-commutative flip--
2×unswap-sqr
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 145
Calls
4 calls:
1.0ms
(cbrt z)
51.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
23.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
119.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series975.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
243.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
347.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
191.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify946.0ms

Counts
157 → 157
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02413939
16793904
228793066
done50003066

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
3.2b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div
243×frac-sub
162×tanh-def
154×associate-*r/
121×frac-times
27×flip3-- flip--
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
11×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt
4×add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 237
Calls
4 calls:
116.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
397.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
393.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
383.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
381.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.0s

Counts
249 → 249
Iterations

Useful iterations: 2 (421.0ms)

IterNodesCost
050913707
1129013611
2344613358
done500113358

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes144.0ms

Accuracy

47.5% (0.6b remaining)

Error of 1.6b against oracle of 1.0b and baseline of 2.1b

bsearch101.0ms

Steps
ItersRangePoint
7
6.718365351252159e-19
2.538538495065944e-17
6.807813050062858e-19
10
-7.995242360819531e+16
-91582.74243954467
-92853.53031221362

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02476
13462
done3462

end0.0ms

sample585.0ms

Algorithm
intervals
Results
335.0ms8300×body80valid
12.0ms79×body640valid
9.0ms42×body1280valid
8.0ms72×body320valid
3.0ms34×body160valid