Details

Time bar (total: 18.8s)

sample69.0ms

Algorithm
intervals
Results
35.0ms269×body80valid
2.0ms4×body640valid
1.0ms2×body1280valid
0.0ms1×body320valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5001
54647
4959
3322
2142
154
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
5.0b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×pow1 add-cbrt-cube add-exp-log frac-sub
8×tanh-def
7×add-sqr-sqrt *-un-lft-identity
6×add-log-exp
5×associate-*r* add-cube-cbrt
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
1×+-commutative sum-log flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
6.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
57.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series983.0ms

Counts
4 → 12
Calls
4 calls:
504.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
124.0ms
(tanh (/ t y))
89.0ms
(tanh (/ x y))
266.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.7s

Counts
82 → 82
Iterations
IterNodes
done5000
22836
1517
0175

prune582.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
1.2b
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
3.4b
(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*l/
18×frac-sub
14×tanh-def
11×add-sqr-sqrt pow1 add-cbrt-cube associate-*r/ add-exp-log
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
4×associate-*r* 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 → 80
Calls
4 calls:
1.0ms
(tanh (/ t y))
1.0ms
(tanh (/ x y))
43.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
118.0ms
(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

series1.1s

Counts
4 → 12
Calls
4 calls:
153.0ms
(tanh (/ t y))
121.0ms
(tanh (/ x y))
557.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
305.0ms
(* y (* (- (tanh (/ t y)) (tanh (/ x y))) z))

simplify1.0s

Counts
92 → 92
Iterations
IterNodes
done5000
21952
1466
0172

prune719.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.0b
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
3.0b
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*l/
18×frac-sub
14×tanh-def
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity
7×add-cube-cbrt
6×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 → 80
Calls
4 calls:
1.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
91.0ms
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
43.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
106.0ms
(tanh (/ t y))
115.0ms
(tanh (/ x y))
505.0ms
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
396.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.3s

Counts
92 → 92
Iterations
IterNodes
done5000
22336
1474
0177

prune687.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
1.2b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b
(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
28.3b
(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
36×frac-sub
33×cube-div
24×tanh-def
22×cbrt-div
20×add-sqr-sqrt
18×cbrt-prod
16×associate-*r*
13×*-un-lft-identity
11×pow1 add-exp-log add-cube-cbrt
10×add-cbrt-cube
6×associate-*l*
4×flip3-- flip-- add-log-exp unswap-sqr sqr-pow
3×cube-mult pow-unpow unpow-prod-down unpow3 cube-prod pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in pow-exp *-commutative rem-cube-cbrt
1×pow-to-exp pow1/3 rem-cbrt-cube distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
21.0ms
(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
73.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
73.0ms
(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
34.0ms
(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

series1.6s

Counts
4 → 12
Calls
4 calls:
569.0ms
(pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)
346.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
297.0ms
(* y (cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3)))
412.0ms
(cbrt (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3))

simplify1.8s

Counts
147 → 147
Iterations
IterNodes
done5000
24618
1887
0264

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (1.4b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.4s

Algorithm
intervals
Results
873.0ms8258×body80valid
33.0ms114×body640valid
18.0ms42×body1280valid
13.0ms61×body320valid
7.0ms46×body160valid