Details

Time bar (total: 15.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
1.0ms5×body640valid
1.0ms3×body1280valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
15415
214115
330115
489615
5281115
done500115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ t y))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×pow1 add-exp-log frac-sub add-cbrt-cube
8×tanh-def
7×add-sqr-sqrt *-un-lft-identity
6×add-log-exp
5×add-cube-cbrt associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
1.0ms
(tanh (/ x y))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.0ms
(tanh (/ t y))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(tanh (/ x y))
344.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
84.0ms
(tanh (/ t y))
163.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify892.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
01751466
15081400
221431320
done50011320

prune257.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ t y))
0.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite69.0ms

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:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.0ms
(tanh (/ t y))
23.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
38.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
344.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
82.0ms
(tanh (/ t y))
213.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
158.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify904.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
02032164
15412103
218811981
done50001981

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.8b
(+ (* (tanh (/ t y)) (* y z)) (* (- (tanh (/ x y))) (* y z)))
5.7b
(* (- (tanh (/ x y))) (* y z))
6.2b
(* (tanh (/ t y)) (* y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
14×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
12×distribute-neg-frac
9×frac-add tanh-def
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×associate-*r* *-commutative
1×+-commutative neg-mul-1 distribute-rgt-out flip3-+ unsub-neg sum-log flip-+
Counts
4 → 83
Calls
4 calls:
1.0ms
(tanh (/ t y))
11.0ms
(+ (* (tanh (/ t y)) (* y z)) (* (- (tanh (/ x y))) (* y z)))
11.0ms
(* (- (tanh (/ x y))) (* y z))
11.0ms
(* (tanh (/ t y)) (* y z))

series779.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(tanh (/ t y))
467.0ms
(+ (* (tanh (/ t y)) (* y z)) (* (- (tanh (/ x y))) (* y z)))
122.0ms
(* (- (tanh (/ x y))) (* y z))
112.0ms
(* (tanh (/ t y)) (* y z))

simplify850.0ms

Counts
95 → 95
Iterations

Useful iterations: done (847.0ms)

IterNodesCost
01861764
16181635
224751534
done50001523

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (tanh (/ x y)) (tanh (/ x y)))
1.5b
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
4.5b
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
638×associate-*r/
549×frac-times
500×tanh-def
450×frac-sub
227×associate-/l/
183×associate-*l/
26×associate-*r*
22×add-exp-log associate-/r/ add-cbrt-cube
21×add-sqr-sqrt *-un-lft-identity
18×frac-add
15×pow1 add-cube-cbrt
9×associate-*l*
8×times-frac
7×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* add-log-exp
3×swap-sqr pow-prod-down *-commutative distribute-lft-out unswap-sqr
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ flip-- flip-+ div-inv
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up associate-/l* difference-of-squares
Counts
4 → 590
Calls
4 calls:
9.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
118.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
34.0ms
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
100.0ms
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

series2.8s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
466.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.1s
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
1.1s
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

simplify1.4s

Counts
602 → 602
Iterations

Useful iterations: 1 (815.0ms)

IterNodesCost
0139228968
1387328814
done500028814

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample599.0ms

Algorithm
intervals
Results
338.0ms8300×body80valid
17.0ms113×body640valid
10.0ms46×body1280valid
8.0ms65×body320valid
3.0ms42×body160valid