Details

Time bar (total: 17.3s)

sample58.0ms

Algorithm
intervals
Results
31.0ms269×body80valid
1.0ms4×body640valid
1.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
494415
5313415
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
4.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite123.0ms

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:
15.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms
(tanh (/ x y))
30.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
69.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
528.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
105.0ms
(tanh (/ x y))
398.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
274.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts
95 → 95
Iterations

Useful iterations: 2 (501.0ms)

IterNodesCost
01892094
15902029
223831931
done50001931

prune441.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
5.0ms
(tanh (/ x y))
27.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
88.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
146.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
127.0ms
(tanh (/ x y))
359.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
398.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
266.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.0s

Counts
117 → 117
Iterations

Useful iterations: 2 (379.0ms)

IterNodesCost
01952513
15532486
219892350
done50022350

prune431.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
34×distribute-rgt-in distribute-lft-in
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
14×sub-neg
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×associate-*r*
6×cbrt-prod
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
265.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
46.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
124.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt y)
239.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
356.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
427.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.3s

Counts
153 → 153
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02323562
16673535
225182931
done50012707

prune591.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* y (tanh (/ t y))) z) (- (* (* z (tanh (/ x y))) y)))
2.9b
(* z (tanh (/ x y)))
4.5b
(* (* z (tanh (/ x y))) y)
6.8b
(* y (tanh (/ t y)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
27×associate-*r/
21×associate-*l/
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*r* frac-add distribute-neg-frac tanh-def
8×add-log-exp
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
3×*-commutative
2×sum-log unswap-sqr
1×+-commutative neg-sub0 associate-+r- flip3-+ unsub-neg neg-log flip-+
Counts
4 → 87
Calls
4 calls:
48.0ms
(+ (* (* y (tanh (/ t y))) z) (- (* (* z (tanh (/ x y))) y)))
20.0ms
(* z (tanh (/ x y)))
46.0ms
(* (* z (tanh (/ x y))) y)
24.0ms
(* y (tanh (/ t y)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(+ (* (* y (tanh (/ t y))) z) (- (* (* z (tanh (/ x y))) y)))
125.0ms
(* z (tanh (/ x y)))
162.0ms
(* (* z (tanh (/ x y))) y)
80.0ms
(* y (tanh (/ t y)))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: 2 (426.0ms)

IterNodesCost
01891627
15951587
224091424
done50021424

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes148.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8300×body80valid
26.0ms102×body640valid
16.0ms46×body1280valid
11.0ms62×body320valid
5.0ms34×body160valid