Details

Time bar (total: 5.2s)

sample24.0ms

Algorithm
intervals
Results
11.0ms263×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

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: 4.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
4.8b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×pow1 add-exp-log frac-sub add-cbrt-cube
8×tanh-def
7×add-sqr-sqrt *-un-lft-identity
6×add-log-exp
5×add-cube-cbrt associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
2.0ms
(tanh (/ t y))
8.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
12.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series888.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
554.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
85.0ms
(tanh (/ x y))
165.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0509771
12427725
25001725

prune234.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483

Merged error: 0.5b

Counts
83 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
14×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
9×*-un-lft-identity
7×add-cube-cbrt
6×sub-neg associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- *-commutative flip--
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
17.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
87.0ms
(tanh (/ x y))
229.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
167.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04701039
12128970
25002970

prune266.0ms

Filtered
104 candidates to 76 candidates (73.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh033
Picked011
Done000
Total1035108

Merged error: 0.2b

Counts
108 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
0.0b
(tanh (/ x y))
2.1b
(log (exp (tanh (/ x y))))
5.6b
(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×*-un-lft-identity
9×add-exp-log add-sqr-sqrt add-cbrt-cube
7×add-cube-cbrt
6×associate-*r* add-log-exp
5×log-pow
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×log-prod exp-prod pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ distribute-lft-out--
1×+-commutative flip3-- flip3-+ rem-log-exp associate-*l* sum-log *-commutative flip-- flip-+ tanh-def difference-of-squares
Counts
4 → 67
Calls
4 calls:
4.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
2.0ms
(tanh (/ x y))
2.0ms
(log (exp (tanh (/ x y))))
11.0ms
(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
356.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
82.0ms
(tanh (/ x y))
86.0ms
(log (exp (tanh (/ x y))))
170.0ms
(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0351659
11513588
25002579

prune207.0ms

Filtered
79 candidates to 57 candidates (72.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh033
Picked011
Done101
Total79584

Merged error: 0.2b

Counts
84 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
0.0b
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
0.0b
(tanh (/ x y))
2.4b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*r/
18×frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity associate-*l/ add-cbrt-cube
8×associate-*r*
7×add-cube-cbrt
6×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 86
Calls
4 calls:
4.0ms
(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
12.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
2.0ms
(tanh (/ x y))
14.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series829.0ms

Counts
4 → 12
Calls
4 calls:
340.0ms
(+ x (pow (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) 1))
234.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
79.0ms
(tanh (/ x y))
175.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05301076
124921000
250021000

prune278.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh303
Picked011
Done011
Total1003103

Merged error: 0b

Counts
103 → 3

regimes79.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample619.0ms

Algorithm
intervals
Results
351.0ms8349×body80valid
14.0ms89×body640valid
13.0ms42×body1280valid
7.0ms54×body320valid
3.0ms42×body160valid

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