Details

Time bar (total: 12.5s)

sample28.0ms

Algorithm
intervals
Results
14.0ms266×body80valid
1.0ms6×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
15415
214115
330115
489615
5280715
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

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

rewrite39.0ms

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:
1.0ms
(tanh (/ x y))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
25.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(tanh (/ x y))
373.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
247.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
177.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify961.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (348.0ms)

IterNodesCost
01892094
15902029
223781931
done50001931

prune334.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite73.0ms

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:
1.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
39.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(tanh (/ t y))
243.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
234.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
175.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify744.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
01912513
15402486
218342350
done50002350

prune394.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.1b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite171.0ms

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)
24.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
100.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
40.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series993.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
237.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
209.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
351.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify903.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
02323562
16453535
224012931
done50012931

prune502.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×pow1 add-exp-log add-cbrt-cube
18×tanh-def
15×associate-*r*
14×add-sqr-sqrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
6×distribute-rgt-in sub-neg distribute-lft-in
4×add-log-exp
3×cbrt-prod flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 118
Calls
4 calls:
2.0ms
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
29.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
25.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
1.4s
(cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))
183.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
180.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
177.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify897.0ms

Counts
130 → 130
Iterations

Useful iterations: done (893.0ms)

IterNodesCost
01722940
14882825
219332636
done50012635

prune533.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.6b

regimes268.0ms

Accuracy

0% (1.5b remaining)

Error of 1.9b against oracle of 0.4b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample601.0ms

Algorithm
intervals
Results
335.0ms8310×body80valid
16.0ms105×body640valid
8.0ms39×body1280valid
7.0ms66×body320valid
3.0ms34×body160valid