Details

Time bar (total: 19.8s)

sample51.0ms

Algorithm
intervals
Results
22.0ms268×body80valid
2.0ms4×body640valid
2.0ms3×body1280valid
1.0ms3×body320valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
495915
5465615
done500015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
3.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite156.0ms

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))
24.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
108.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
540.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
130.0ms
(tanh (/ x y))
395.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
300.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.2s

Counts
95 → 95
Iterations

Useful iterations: 2 (650.0ms)

IterNodesCost
01892094
15992029
231061931
done50011931

prune511.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite272.0ms

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:
23.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms
(tanh (/ x y))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
149.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
334.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
128.0ms
(tanh (/ x y))
400.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
260.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.2s

Counts
117 → 117
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01952513
15772486
222992356
done50012350

prune451.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.2b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
34×pow1 add-exp-log
32×distribute-rgt-in distribute-lft-in
22×add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
18×frac-sub
12×sub-neg tanh-def
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l* add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
155.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
295.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt z)
329.0ms
(cbrt z)
381.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
319.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.4s

Counts
129 → 129
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02163134
16793105
233832303
done50001928

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
1.9b
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite197.0ms

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:
4.0ms
(tanh (/ x y))
15.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
106.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
65.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
100.0ms
(tanh (/ x y))
335.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
442.0ms
(* z (* (- (tanh (/ t y)) (tanh (/ x y))) y))
354.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.7s

Counts
105 → 105
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
01872359
15452334
223602204
done50002204

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes144.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01417
12015
22115
done2115

end0.0ms

sample1.3s

Algorithm
intervals
Results
805.0ms8337×body80valid
25.0ms90×body640valid
16.0ms37×body1280valid
11.0ms56×body320valid
5.0ms38×body160valid