Details

Time bar (total: 6.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms267×body80valid
0.0msbody320valid
0.0msbody640valid
0.0msbody160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
4.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
add-log-exp
add-cube-cbrt sub-neg associate-*r*
distribute-rgt-in associate-+r+ distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series766.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
215.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
76.0ms
(tanh (/ x y))
153.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05921136
127281079
250011079

prune470.0ms

Filtered
95 candidates to 73 candidates (76.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh000
Picked101
Done000
Total89796

Merged error: 0.7b

Counts
96 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
0.8b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms

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
add-cube-cbrt sub-neg
associate-*r* associate-*l* add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ x y))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series663.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
80.0ms
(tanh (/ x y))
208.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
159.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05531404
124171324
250031324

prune528.0ms

Filtered
117 candidates to 86 candidates (73.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1143117
Fresh246
Picked101
Done000
Total1177124

Merged error: 0.4b

Counts
124 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
1.7b
(* z (neg (tanh (/ x y))))
2.1b
(* z (tanh (/ t y)))
3.5b
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
35×associate-*r/
18×add-sqr-sqrt
17×associate-*r*
12×add-cube-cbrt *-un-lft-identity distribute-neg-frac
10×pow1 add-exp-log add-cbrt-cube
associate-*l* frac-add tanh-def
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
distribute-rgt-in neg-mul-1 distribute-lft-in flip3-+ distribute-rgt-neg-out flip-+ distribute-lft-out
Counts
4 → 92
Calls
4 calls:
2.0ms
(tanh (/ x y))
6.0ms
(* z (neg (tanh (/ x y))))
5.0ms
(* z (tanh (/ t y)))
10.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ x y))
85.0ms
(* z (neg (tanh (/ x y))))
83.0ms
(* z (tanh (/ t y)))
164.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0614834
13220775
25001774

prune497.0ms

Filtered
104 candidates to 83 candidates (79.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1031104
Fresh156
Picked101
Done000
Total1056111

Merged error: 0.4b

Counts
111 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
0.0b
(tanh (/ x y))
5.8b
(* (* y z) (neg (tanh (/ x y))))
6.3b
(* (* y z) (tanh (/ t y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
14×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×distribute-neg-frac
frac-add tanh-def
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
associate-*l* *-commutative
+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
4 → 83
Calls
4 calls:
9.0ms
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
7.0ms
(* (* y z) (neg (tanh (/ x y))))
6.0ms
(* (* y z) (tanh (/ t y)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
79.0ms
(tanh (/ x y))
88.0ms
(* (* y z) (neg (tanh (/ x y))))
84.0ms
(* (* y z) (tanh (/ t y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0613904
13175829
25001828

prune419.0ms

Filtered
95 candidates to 72 candidates (75.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New94195
Fresh055
Picked101
Done000
Total956101

Merged error: 0.3b

Counts
101 → 6

regimes328.0ms

Accuracy

17.1% (4.2b remaining)

Error of 4.3b against oracle of 0.1b and baseline of 5.1b

bsearch50.0ms

Steps
ItersRangePoint
7
-6.770751348513246e+125
-4.0717095726038794e+123
-6.671347703591711e+125

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03636
14036
24136
34136

end0.0ms

sample845.0ms

Algorithm
intervals
Results
403.0ms8290×body80valid
18.0ms99×body640valid
13.0ms52×body1280valid
9.0ms65×body320valid
3.0ms32×body160valid

Profiling

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