Details

Time bar (total: 21.6s)

sample58.0ms

Algorithm
intervals
Results
26.0ms263×body80valid
1.0ms3×body1280valid
1.0ms4×body320valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
15415
214215
332215
495915
5465615
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize30.0ms

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))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
8×add-log-exp
5×add-cube-cbrt sub-neg associate-*r*
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×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 → 83
Calls
4 calls:
4.0ms
(tanh (/ t y))
19.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
96.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
107.0ms
(tanh (/ t y))
326.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
513.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
259.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.1s

Counts
95 → 95
Iterations

Useful iterations: 2 (537.0ms)

IterNodesCost
01862094
15912029
230501931
done50001931

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ t y))
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
21.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.0ms
(tanh (/ t y))
76.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
129.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
571.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
139.0ms
(tanh (/ t y))
348.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
257.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.3s

Counts
113 → 113
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
02032164
15682103
224421981
done50001981

prune537.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
1.2b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.4b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite699.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
36×pow1 add-exp-log
34×distribute-rgt-in distribute-lft-in
27×frac-sub
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
15×add-sqr-sqrt
14×sub-neg
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×cbrt-prod associate-*r*
4×add-log-exp
3×flip3-- *-commutative flip--
2×unswap-sqr
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 145
Calls
4 calls:
1.0ms
(cbrt z)
65.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
165.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
461.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt z)
527.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
363.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
322.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify3.2s

Counts
157 → 157
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02413939
17403904
239973066
done50002693

prune667.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
27×frac-sub
22×associate-*l/
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity associate-*r/ add-cbrt-cube
8×associate-*l*
7×add-cube-cbrt
6×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×sub-neg diff-log unswap-sqr
Counts
4 → 93
Calls
4 calls:
2.0ms
(tanh (/ t y))
24.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
123.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
83.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
145.0ms
(tanh (/ t y))
346.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
399.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
355.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (441.0ms)

IterNodesCost
01832359
15312334
222792204
done50002204

prune601.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes196.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01417
12015
22115
done2115

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8279×body80valid
58.0ms93×body640valid
19.0ms47×body1280valid
18.0ms68×body320valid
7.0ms43×body160valid