Details

Time bar (total: 23.0s)

sample45.0ms

Algorithm
intervals
Results
29.0ms259×body80valid
2.0ms3×body640valid
1.0ms3×body320valid

simplify2.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize38.0ms

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))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-log-exp
5×sub-neg associate-*r* add-cube-cbrt
4×distribute-rgt-in associate-+r+ distribute-lft-in insert-posit16
3×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 → 87
Calls
4 calls:
14.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
(tanh (/ t y))
9.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
68.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
536.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
106.0ms
(tanh (/ t y))
378.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
260.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.2s

Counts
99 → 99
Iterations
IterNodes
done5002
22218
1592
0190

prune623.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
10×distribute-rgt-in distribute-lft-in
7×sub-neg add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod insert-posit16
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 109
Calls
4 calls:
3.0ms
(tanh (/ t y))
18.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
61.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
82.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
149.0ms
(tanh (/ t y))
462.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
361.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
313.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.3s

Counts
121 → 121
Iterations
IterNodes
done5001
21994
1563
0195

prune914.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
21×distribute-neg-frac
18×add-sqr-sqrt frac-add
16×associate-*l*
14×tanh-def
12×*-un-lft-identity add-cube-cbrt
11×associate-*r/
10×pow1 add-cbrt-cube associate-*r* add-exp-log
6×add-log-exp
4×insert-posit16
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×flip3-+ distribute-rgt-out flip-+
1×distribute-rgt-in +-commutative neg-mul-1 sum-log distribute-lft-in unsub-neg
Counts
4 → 109
Calls
4 calls:
30.0ms
(+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z))
22.0ms
(* (tanh (/ t y)) z)
11.0ms
(* (- (tanh (/ x y))) z)
44.0ms
(* y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
439.0ms
(+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z))
155.0ms
(* (tanh (/ t y)) z)
177.0ms
(* (- (tanh (/ x y))) z)
275.0ms
(* y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))

simplify2.6s

Counts
121 → 121
Iterations
IterNodes
done5001
22806
1731
0217

prune954.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.2b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
34×pow1 add-exp-log
32×distribute-rgt-in distribute-lft-in
22×add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
18×frac-sub
12×sub-neg tanh-def
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod
4×associate-*l* insert-posit16 add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
79.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
244.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt z)
277.0ms
(cbrt z)
338.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
280.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.3s

Counts
133 → 133
Iterations
IterNodes
done5002
22623
1675
0219

prune699.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes462.0ms

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done26
326
225
121
014

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s8313×body80valid
75.0ms95×body640valid
26.0ms41×body1280valid
22.0ms59×body320valid
7.0ms30×body160valid