Details

Time bar (total: 1.0m)

sample47.0ms

Algorithm
intervals
Results
22.0ms278×body80valid
1.0ms3×body320valid
1.0ms2×body640valid
0.0ms1×body160valid

simplify2.6s

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: 3.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
4.4b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
6×add-log-exp
5×associate-*r* add-cube-cbrt
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
4.0ms
(tanh (/ t y))
12.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
40.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(tanh (/ t y))
296.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
153.0ms
(tanh (/ x y))
226.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.8s

Counts
90 → 90
Iterations
IterNodes
done5001
22585
1520
0165

prune736.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
1.8b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite125.0ms

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
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
11.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms
(tanh (/ x y))
34.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
76.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
324.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
117.0ms
(tanh (/ x y))
398.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
271.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.6s

Counts
117 → 117
Iterations
IterNodes
done5002
22303
1577
0195

prune873.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.7b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite304.0ms

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 *-un-lft-identity add-cube-cbrt
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)
84.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
214.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt z)
221.0ms
(cbrt z)
346.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
325.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.9s

Counts
129 → 129
Iterations
IterNodes
done5000
23339
1678
0216

prune599.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.5b

localize105.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
3.7b
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
3.7b
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
25.0b
(cbrt (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
5060×associate-*r/
4928×associate-*l/
3915×frac-sub
3025×frac-times
2610×tanh-def
1727×cbrt-div
435×flip3-- flip--
19×pow1 add-cbrt-cube add-exp-log
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×associate-*l* *-commutative
1×cbrt-prod pow1/3 cube-unmult rem-cbrt-cube
Counts
4 → 1824
Calls
4 calls:
93.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
74.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
76.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
1.3s
(cbrt (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
389.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
311.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
330.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
354.0ms
(cbrt (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))))

simplify11.3s

Counts
1836 → 1836
Iterations
IterNodes
done6664
06664

prune31.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.4b

regimes709.0ms

Accuracy

0% (1.3b remaining)

Error of 2.0b against oracle of 0.7b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
757.0ms8284×body80valid
25.0ms98×body640valid
20.0ms52×body1280valid
10.0ms57×body320valid
4.0ms33×body160valid