Details

Time bar (total: 6.6s)

analyze1.8s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 1.937368%

Guaranteed chance to sample good point: 69.971425%

sample26.0ms

Algorithm
intervals
Results
12.0ms247×body80valid
1.0ms4×body640valid
1.0ms12×body80invalid
0.0ms3×body160valid
0.0ms2×body320valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
7.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms

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))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ t y))
28.0ms
(tanh (/ x y))
76.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
69.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05121026
12380971
25001971

prune148.0ms

Filtered
71 candidates to 90 candidates (-26.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84690
Fresh000
Picked101
Done000
Total85691

Merged error: 1.5b

Counts
91 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite37.0ms

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 (/ t y))
9.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(tanh (/ t y))
76.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
91.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05391404
123441324
250011324

prune181.0ms

Filtered
86 candidates to 117 candidates (-36.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1125117
Fresh325
Picked011
Done000
Total1158123

Merged error: 1.2b

Counts
123 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.5b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite45.0ms

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)
18.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
19.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
22.0ms
(cbrt z)
97.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
77.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06561908
125561424
250031339

prune159.0ms

Filtered
71 candidates to 129 candidates (-81.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done011
Total1298137

Merged error: 1.2b

Counts
137 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
8.8b
(* (* y z) (neg (tanh (/ x y))))
8.9b
(* (* y z) (tanh (/ t y)))

rewrite27.0ms

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

series156.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ x y))
66.0ms
(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
31.0ms
(* (* y z) (neg (tanh (/ x y))))
32.0ms
(* (* y z) (tanh (/ t y)))

simplify96.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0613904
13175829
25001828

prune139.0ms

Filtered
72 candidates to 95 candidates (-31.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh235
Picked101
Done112
Total976103

Merged error: 1.0b

Counts
103 → 6

regimes262.0ms

Accuracy

0% (1.3b remaining)

Error of 2.0b against oracle of 0.6b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

analyze1.8s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 1.937368%

Guaranteed chance to sample good point: 69.971425%

sample701.0ms

Algorithm
intervals
Results
396.0ms7758×body80valid
20.0ms408×body80invalid
17.0ms90×body640valid
13.0ms49×body1280valid
9.0ms67×body320valid
3.0ms36×body160valid

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