Details

Time bar (total: 20.4s)

sample25.0ms

Algorithm
intervals
Results
13.0ms263×body80valid
1.0ms6×body320valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5001
53026
4906
3317
2141
154
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
6.0b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
8×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
5×associate-*r* add-log-exp
4×add-cube-cbrt
3×sub-neg pow-prod-down prod-exp cbrt-unprod insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
3 → 71
Calls
3 calls:
2.0ms
(tanh (/ x y))
24.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
74.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series635.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(tanh (/ x y))
288.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
218.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.8s

Counts
80 → 80
Iterations
IterNodes
done5001
21978
1520
0164

prune442.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
0.9b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
10×distribute-rgt-in distribute-lft-in
7×sub-neg add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod insert-posit16
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 109
Calls
4 calls:
21.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(tanh (/ x y))
59.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series978.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
99.0ms
(tanh (/ x y))
316.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
232.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.0s

Counts
121 → 121
Iterations
IterNodes
done5000
22060
1577
0199

prune801.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.2b
(* z (- (tanh (/ x y))))
2.0b
(* z (tanh (/ t y)))
4.8b
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
53×associate-*r/
21×distribute-neg-frac
18×add-sqr-sqrt frac-add
17×associate-*r*
14×tanh-def
12×*-un-lft-identity add-cube-cbrt
10×pow1 add-cbrt-cube add-exp-log
9×associate-*l*
6×add-log-exp
4×insert-posit16
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
2×flip3-+ flip-+ distribute-lft-out
1×distribute-rgt-in +-commutative neg-mul-1 sum-log distribute-lft-in unsub-neg
Counts
4 → 109
Calls
4 calls:
23.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
22.0ms
(* z (- (tanh (/ x y))))
18.0ms
(* z (tanh (/ t y)))
49.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
94.0ms
(* z (- (tanh (/ x y))))
113.0ms
(* z (tanh (/ t y)))
237.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify3.0s

Counts
121 → 121
Iterations
IterNodes
done5007
22925
1713
0211

prune881.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize65.0ms

Local error

Found 4 expressions with local error:

2.0b
(* z (tanh (/ t y)))
6.2b
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
6.2b
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
6.2b
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
57×associate-*r/
33×cbrt-div
27×frac-add distribute-neg-frac
19×tanh-def
12×cbrt-prod
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
4×insert-posit16 add-log-exp
3×flip3-+ pow1/3 associate-*r* associate-*l* flip-+ distribute-lft-out
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
17.0ms
(* z (tanh (/ t y)))
13.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
10.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
12.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
96.0ms
(* z (tanh (/ t y)))
616.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
656.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))
719.0ms
(cbrt (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify2.1s

Counts
106 → 106
Iterations
IterNodes
done5000
21959
1606
0213

prune856.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

regimes332.0ms

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done30
330
229
125
017

end0.0ms

sample980.0ms

Algorithm
intervals
Results
706.0ms8351×body80valid
20.0ms80×body640valid
14.0ms40×body1280valid
12.0ms64×body320valid
5.0ms36×body160valid