Details

Time bar (total: 20.6s)

sample60.0ms

Algorithm
intervals
Results
25.0ms270×body80valid
1.0ms2×body640valid
0.0ms1×body320valid

simplify1.6s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-log-exp
5×sub-neg associate-*r* add-cube-cbrt
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
10.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ t y))
9.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
84.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series931.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
101.0ms
(tanh (/ t y))
367.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
186.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done5001
23050
1591
0186

prune639.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.6b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
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 sum-log flip3-+ flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
2.0ms
(tanh (/ t y))
13.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
48.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
89.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
113.0ms
(tanh (/ t y))
493.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
309.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
220.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done5002
22465
1568
0203

prune989.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y))))
1.8b
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
22×associate-*l/
21×add-cbrt-cube
18×pow-prod-down prod-exp frac-sub cbrt-unprod
12×tanh-def
11×associate-*r/
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-prod associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
165.0ms
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y))))
99.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y)))

series2.0s

Counts
4 → 12
Calls
4 calls:
341.0ms
(cbrt y)
341.0ms
(cbrt y)
416.0ms
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y))))
880.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (cbrt y)))

simplify1.3s

Counts
104 → 104
Iterations
IterNodes
done5000
22994
1646
0202

prune783.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.9b
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))
1.8b
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
63×pow1 add-exp-log
45×pow-prod-down prod-exp cbrt-unprod
41×add-cbrt-cube
22×associate-*l/
18×cbrt-prod frac-sub
12×tanh-def
11×add-sqr-sqrt *-un-lft-identity associate-*r/
9×add-cube-cbrt
6×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
789.0ms
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))
324.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt (cbrt y))
376.0ms
(cbrt (cbrt y))
341.0ms
(* (* (cbrt y) (cbrt y)) (* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))
810.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) (* z (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5000
23422
1750
0240

prune891.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.5b

regimes576.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s8312×body80valid
55.0ms82×body640valid
16.0ms44×body1280valid
13.0ms56×body320valid
3.0ms23×body160valid