Details

Time bar (total: 19.6s)

sample28.0ms

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

simplify2.7s

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: 4.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
5.8b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
8×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
5×associate-*r* add-log-exp
4×add-cube-cbrt
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
3 → 68
Calls
3 calls:
4.0ms
(tanh (/ x y))
28.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
101.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series760.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(tanh (/ x y))
342.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
299.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
01611726
15091702
221001608
done50021608

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite211.0ms

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:
2.0ms
(tanh (/ x y))
14.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
68.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
122.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
104.0ms
(tanh (/ x y))
393.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
313.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
298.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.1s

Counts
117 → 117
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
01952513
15532486
219892350
done50022350

prune428.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize26.0ms

Local error

Found 4 expressions with local error:

3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
117.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
81.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
73.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
71.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
545.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
581.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
616.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.1s

Counts
109 → 109
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02083412
15653385
219333220
done50013202

prune868.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize59.0ms

Local error

Found 4 expressions with local error:

3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.1b
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
7.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite492.0ms

Algorithm
rewrite-expression-head
Rules
99×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
103.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
230.0ms
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
71.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
82.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.7s

Counts
4 → 12
Calls
4 calls:
317.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.1s
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
585.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
665.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.4s

Counts
109 → 109
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02563571
16903544
223633365
done50003271

prune958.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.3b

regimes200.0ms

Accuracy

0% (1.3b remaining)

Error of 2.3b against oracle of 1.0b and baseline of 2.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02053
12653
done2653

end0.0ms

sample1.3s

Algorithm
intervals
Results
900.0ms8310×body80valid
34.0ms107×body640valid
23.0ms47×body1280valid
12.0ms50×body320valid
6.0ms34×body160valid