Details

Time bar (total: 26.7s)

sample46.0ms

Algorithm
intervals
Results
20.0ms274×body80valid
1.0ms3×body1280valid
0.0ms2×body320valid
0.0ms1×body640valid
0.0ms2×body160valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5000
54826
41010
3334
2147
154
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×prod-diff frac-sub
7×tanh-def
5×add-log-exp
3×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
1×sub-neg flip3-- diff-log fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 59
Calls
3 calls:
12.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series858.0ms

Counts
3 → 9
Calls
3 calls:
331.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
116.0ms
(tanh (/ x y))
411.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.4s

Counts
68 → 68
Iterations
IterNodes
done5002
21724
1447
0157

prune608.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)) (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)))
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
17.0ms
(* (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)) (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)))
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
1.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series2.0s

Counts
4 → 12
Calls
4 calls:
862.0ms
(* (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)) (cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)))
364.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
369.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
397.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify3.8s

Counts
84 → 84
Iterations
IterNodes
done5001
34063
2805
1232
089

prune658.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.1b

localize137.0ms

Local error

Found 4 expressions with local error:

4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.3b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
313.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
299.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
374.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
365.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.5s

Counts
52 → 52
Iterations
IterNodes
done5000
42593
3530
2185
169
023

prune617.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
1.4b
(fma (* y z) (* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
2.7b
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
2.7b
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-div
234×frac-sub
156×tanh-def
121×frac-times
40×add-sqr-sqrt sqrt-prod
32×*-un-lft-identity
26×flip3-- flip--
21×pow1
14×add-cube-cbrt
12×swap-sqr
11×associate-*l/ associate-*r/
10×sqrt-pow1 pow1/2
8×associate-*r* associate-*l* distribute-lft-out--
6×add-cbrt-cube add-exp-log difference-of-squares
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 268
Calls
4 calls:
150.0ms
(* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
0.0ms
(fma (* y z) (* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
15.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
19.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y)))))
378.0ms
(fma (* y z) (* (sqrt (- (tanh (/ t y)) (tanh (/ x y)))) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
564.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))
558.0ms
(sqrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.5s

Counts
280 → 280
Iterations
IterNodes
done5000
22798
1851
0470

prune3.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.1b

regimes393.0ms

Accuracy

0% (2.3b remaining)

Error of 4.6b against oracle of 2.3b and baseline of 4.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8356×body80valid
17.0ms68×body640valid
14.0ms44×body1280valid
12.0ms69×body320valid
5.0ms34×body160valid