Details

Time bar (total: 20.1s)

sample41.0ms

Algorithm
intervals
Results
15.0ms270×body80valid
1.0ms5×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (426.0ms)

IterNodesCost
01215
15415
214714
333414
499614
5330514
done500014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.9b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.1b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite103.0ms

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:
4.0ms
(tanh (/ x y))
28.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
66.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
118.0ms
(tanh (/ x y))
379.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
374.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
328.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.3s

Counts
126 → 126
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02213259
15612726
218412366
done50002137

prune507.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
6.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite129.0ms

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:
19.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
14.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
81.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
454.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
146.0ms
(tanh (/ x y))
350.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
265.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.1s

Counts
154 → 154
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02614155
17473462
227872986
done50012697

prune627.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
3.1b
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
27×frac-sub
22×associate-*l/
20×add-sqr-sqrt
19×tanh-def
18×*-un-lft-identity
14×add-cube-cbrt
11×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×prod-diff
8×associate-*l*
6×add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- fma-neg flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×sub-neg diff-log unswap-sqr
Counts
4 → 113
Calls
4 calls:
4.0ms
(tanh (/ x y))
98.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
14.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
65.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
128.0ms
(tanh (/ x y))
390.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
381.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
413.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.7s

Counts
125 → 125
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02172882
16062656
221972430
done50022349

prune702.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.1b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.2b
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff frac-sub
26×add-cube-cbrt
22×associate-*r/
19×tanh-def
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in associate-*l/ add-cbrt-cube
8×associate-*r*
6×add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg flip3-- fma-neg flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 135
Calls
4 calls:
4.0ms
(tanh (/ x y))
28.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
77.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
122.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
114.0ms
(tanh (/ x y))
353.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
381.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
432.0ms
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

simplify1.6s

Counts
147 → 147
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02433841
16423287
221752881
done50002652

prune715.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (1.3b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01417
11915
done1915

end0.0ms

sample952.0ms

Algorithm
intervals
Results
460.0ms8368×body80valid
19.0ms77×body640valid
11.0ms36×body1280valid
9.0ms58×body320valid
3.0ms33×body160valid