Details

Time bar (total: 10.2s)

sample33.0ms

Algorithm
intervals
Results
15.0ms269×body80valid
1.0ms4×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify71.0ms

Counts
1 → 1

prune3.0ms

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
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
4.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite89.0ms

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:
8.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
63.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series929.0ms

Counts
4 → 12
Calls
4 calls:
383.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
88.0ms
(tanh (/ x y))
263.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
195.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify70.0ms

Counts
95 → 95

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite153.0ms

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))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
47.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
87.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(tanh (/ x y))
267.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
255.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
194.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Counts
117 → 117

prune385.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite345.0ms

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)
202.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
45.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
90.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt y)
228.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
265.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
371.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify83.0ms

Counts
153 → 153

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.1b
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.1b
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.1b
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log
8×distribute-rgt-in distribute-lft-in
7×add-cbrt-cube
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 100
Calls
4 calls:
80.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
56.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
56.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
61.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
364.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
780.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
832.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
796.0ms
(cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify56.0ms

Counts
112 → 112

prune642.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes135.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
909.0ms8300×body80valid
21.0ms102×body640valid
13.0ms46×body1280valid
10.0ms62×body320valid
4.0ms34×body160valid