Details

Time bar (total: 27.7s)

sample56.0ms

Algorithm
intervals
Results
35.0ms259×body80valid
1.0ms3×body640valid
1.0ms3×body320valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
53035
4928
3321
2146
154
012

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize52.0ms

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))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
45×prod-diff
41×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-cbrt-cube add-exp-log
8×add-log-exp
5×sub-neg associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-def fma-neg 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 → 146
Calls
4 calls:
11.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
(tanh (/ t y))
20.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
76.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
513.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
140.0ms
(tanh (/ t y))
368.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
287.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.6s

Counts
158 → 158
Iterations
IterNodes
done5001
22673
1769
0262

prune930.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
63×prod-diff
56×add-sqr-sqrt
55×distribute-rgt-in distribute-lft-in
54×*-un-lft-identity
50×add-cube-cbrt
33×associate-*r/
27×frac-sub
19×tanh-def
11×pow1 add-cbrt-cube add-exp-log
7×sub-neg
6×associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×flip3-- fma-neg flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 183
Calls
4 calls:
2.0ms
(tanh (/ t y))
10.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
59.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
97.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
143.0ms
(tanh (/ t y))
390.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
357.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
271.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.5s

Counts
195 → 195
Iterations
IterNodes
done5004
22654
1827
0297

prune995.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.7b
(* z (tanh (/ t y)))
2.3b
(* z (- (tanh (/ x y))))
4.2b
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite83.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
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 fma-def distribute-lft-in unsub-neg
Counts
4 → 118
Calls
4 calls:
15.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
9.0ms
(* z (tanh (/ t y)))
12.0ms
(* z (- (tanh (/ x y))))
45.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
420.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
162.0ms
(* z (tanh (/ t y)))
152.0ms
(* z (- (tanh (/ x y))))
308.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify3.1s

Counts
130 → 130
Iterations
IterNodes
done5001
23047
1739
0219

prune913.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.6b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
187×distribute-rgt-in distribute-lft-in
126×prod-diff
97×add-sqr-sqrt
95×*-un-lft-identity
93×add-cube-cbrt
66×associate-*r/
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
14×sub-neg
10×associate-*l*
7×associate-*r*
6×cbrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 279
Calls
4 calls:
1.0ms
(cbrt y)
54.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
122.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
178.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt y)
381.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
488.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
377.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify3.4s

Counts
291 → 291
Iterations
IterNodes
done5002
24489
11539
0436

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done26
326
225
121
014

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8313×body80valid
56.0ms95×body640valid
54.0ms41×body1280valid
24.0ms59×body320valid
8.0ms30×body160valid