Details

Time bar (total: 20.5s)

sample30.0ms

Algorithm
intervals
Results
13.0ms263×body80valid
1.0ms3×body1280valid
1.0ms4×body320valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01215
15415
214714
333414
4101214
5484414
done500014

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
0.8b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
18×frac-sub
13×tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg associate-*l*
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 114
Calls
4 calls:
17.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ t y))
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
63.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
106.0ms
(tanh (/ t y))
379.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
339.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts
126 → 126
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02173259
15792726
223262368
done50002137

prune656.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
0.8b
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
1.2b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
50×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
33×associate-*r/
18×pow1 add-exp-log frac-sub
12×tanh-def
11×add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
7×cbrt-prod associate-*l*
6×sub-neg associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×pow1/3 fma-udef distribute-lft-out-- difference-of-squares
Counts
4 → 161
Calls
4 calls:
1.0ms
(cbrt z)
82.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
185.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt z)
533.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
426.0ms
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
356.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify650.0ms

Counts
173 → 173
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
03035860
19644842
done50013782

prune697.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite152.0ms

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-exp-log add-cbrt-cube
8×add-log-exp
5×sub-neg associate-*r*
4×expm1-log1p-u 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 flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 142
Calls
4 calls:
2.0ms
(tanh (/ t y))
22.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
16.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
105.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
102.0ms
(tanh (/ t y))
325.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
563.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
274.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.6s

Counts
154 → 154
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02584155
17803462
244162990
done50002986

prune651.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (pow (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))) 1))
0.0b
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
3.2b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
48×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
33×associate-*r/
18×frac-sub
13×tanh-def
11×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 159
Calls
4 calls:
4.0ms
(tanh (/ t y))
19.0ms
(+ x (pow (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))) 1))
119.0ms
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
104.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
107.0ms
(tanh (/ t y))
476.0ms
(+ x (pow (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))) 1))
356.0ms
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
300.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.0s

Counts
171 → 171
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02975121
18254007
237413339
done50013337

prune545.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

-3.9% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch71.0ms

Steps
ItersRangePoint
7
1.1001935109725114e+175
3.2266213511097696e+176
5.739542871991201e+175

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02130
12826
done2826

end0.0ms

sample1.4s

Algorithm
intervals
Results
790.0ms8279×body80valid
26.0ms93×body640valid
19.0ms47×body1280valid
14.0ms68×body320valid
6.0ms43×body160valid