Details

Time bar (total: 54.8s)

sample50.0ms

Algorithm
intervals
Results
22.0ms264×body80valid
1.0ms3×body320valid
1.0ms1×body1280valid
0.0ms1×body640valid
0.0ms2×body160valid

simplify1.2s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
5.0b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
6×add-log-exp
5×add-cube-cbrt associate-*r*
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
4 → 78
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
84.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series910.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(tanh (/ t y))
122.0ms
(tanh (/ x y))
387.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
277.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify941.0ms

Counts
90 → 90

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite226.0ms

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))
16.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
79.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
125.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
160.0ms
(tanh (/ x y))
413.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
339.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
272.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.2s

Counts
117 → 117

prune562.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

2.1b
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
4.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.5b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
6655×associate-*r/
4785×cbrt-div
3915×frac-sub
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 1808
Calls
4 calls:
1.6s
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
26.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
51.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
46.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series3.3s

Counts
4 → 12
Calls
4 calls:
322.0ms
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
937.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
994.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
999.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify5.2s

Counts
1820 → 1820

prune31.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.5b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp frac-sub add-cbrt-cube cbrt-unprod
12×sub-neg tanh-def
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
106.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
309.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
235.0ms
(cbrt y)
222.0ms
(cbrt y)
442.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
289.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify885.0ms

Counts
129 → 129

prune441.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.4b

regimes281.0ms

Accuracy

0% (1.1b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.0b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.4s

Algorithm
intervals
Results
793.0ms8379×body80valid
25.0ms93×body640valid
18.0ms45×body1280valid
12.0ms60×body320valid
5.0ms37×body160valid