Details

Time bar (total: 4.1s)

analyze792.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
12.0ms246×body80valid
1.0msbody640valid
1.0ms16×body80invalid
0.0msbody1280valid
0.0msbody160valid
0.0msbody320valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
3.7b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite29.0ms

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:
2.0ms
(tanh (/ x y))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
15.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ x y))
113.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
75.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
65.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify71.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05921136
127281079
250011079

prune133.0ms

Filtered
73 candidates to 95 candidates (-30.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New90595
Fresh000
Picked011
Done000
Total90696

Merged error: 0.6b

Counts
96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
0.6b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
18×distribute-rgt-in distribute-lft-in tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
associate-+r+ add-log-exp
add-cube-cbrt
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 114
Calls
4 calls:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
74.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06281534
127211452
250011452

prune154.0ms

Filtered
88 candidates to 126 candidates (-43.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh134
Picked011
Done011
Total1257132

Merged error: 0.1b

Counts
132 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (* t z) y)))
3.1b
(/ (* t z) y)
11.0b
(* y (/ (* t z) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r*
times-frac
pow1 prod-exp cbrt-unprod add-log-exp
cbrt-undiv div-exp
associate-*l* associate-/r*
div-inv
+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+ associate-/l* unswap-sqr
Counts
3 → 59
Calls
3 calls:
2.0ms
(+ x (* y (/ (* t z) y)))
4.0ms
(/ (* t z) y)
6.0ms
(* y (/ (* t z) y))

series22.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ x (* y (/ (* t z) y)))
5.0ms
(/ (* t z) y)
4.0ms
(* y (/ (* t z) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0255302
11346257
25001235

prune65.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh224
Picked101
Done022
Total70575

Merged error: 0.0b

Counts
75 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* t z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
2.0ms
(+ x (* t z))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ x (* t z))

simplify146.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08054
124849
267149
3173549
4480549
5500149

prune14.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh022
Picked011
Done022
Total14519

Merged error: 0.0b

Counts
19 → 5

regimes309.0ms

Accuracy

8% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03134
13134

end0.0ms

analyze772.0ms

Algorithm
search

sample660.0ms

Algorithm
intervals
Results
375.0ms7757×body80valid
27.0ms574×body80invalid
23.0ms109×body640valid
10.0ms38×body1280valid
8.0ms60×body320valid
3.0ms36×body160valid

Profiling

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