Details

Time bar (total: 22.5s)

sample43.0ms

Algorithm
intervals
Results
28.0ms259×body80valid
1.0ms3×body640valid
1.0ms3×body320valid

simplify2.7s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize26.0ms

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 (/ t y)) (tanh (/ x y)))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity associate-*l* frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-cbrt-cube add-exp-log
8×associate-*r* add-cube-cbrt add-log-exp
5×sub-neg
4×distribute-rgt-in associate-+r+ distribute-lft-in insert-posit16 unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod distribute-lft-out
2×flip3-- *-commutative flip-- distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log flip-+
Counts
4 → 103
Calls
4 calls:
107.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms
(tanh (/ t y))
23.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
135.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
561.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
151.0ms
(tanh (/ t y))
393.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
315.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.3s

Counts
115 → 115
Iterations
IterNodes
done5004
22341
1629
0209

prune690.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
2.3b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
12×add-sqr-sqrt
11×associate-*r/
10×*-un-lft-identity
6×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
5×associate-*r*
4×insert-posit16
3×sub-neg associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 82
Calls
4 calls:
4.0ms
(tanh (/ x y))
4.0ms
(tanh (/ t y))
20.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
67.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series683.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(tanh (/ x y))
104.0ms
(tanh (/ t y))
300.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
193.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts
94 → 94
Iterations
IterNodes
done5000
21563
1460
0162

prune709.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
84×associate-*l*
59×add-sqr-sqrt
52×cbrt-prod
35×associate-*r/
33×associate-*r*
30×distribute-lft-out
27×frac-sub
26×pow1
24×add-cube-cbrt
23×add-cbrt-cube
21×swap-sqr add-exp-log
18×tanh-def
16×unswap-sqr
13×cbrt-unprod
12×cbrt-div
11×pow-prod-down
10×prod-exp
7×*-commutative
6×distribute-rgt-in sub-neg distribute-lft-in flip3-+ pow1/3 flip-+
4×frac-times insert-posit16 add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
2×associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 220
Calls
4 calls:
650.0ms
(* (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))))
123.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
114.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
130.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series2.8s

Counts
4 → 12
Calls
4 calls:
2.1s
(* (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))))
273.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
251.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
198.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.0s

Counts
232 → 232
Iterations
IterNodes
done5002
22254
1648
0235

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* z (- t x)))
0.0b
(* z (- t x))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
5×associate-*r*
4×distribute-rgt-in pow1 associate-+r+ sub-neg distribute-lft-in add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
2×associate-*r/ insert-posit16 distribute-lft-out
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 45
Calls
2 calls:
74.0ms
(+ x (* z (- t x)))
36.0ms
(* z (- t x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ x (* z (- t x)))
48.0ms
(* z (- t x))

simplify1.6s

Counts
51 → 51
Iterations
IterNodes
done5014
32083
2505
1183
074

prune169.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes312.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.8s8313×body80valid
49.0ms95×body640valid
28.0ms41×body1280valid
22.0ms59×body320valid
7.0ms30×body160valid