Details

Time bar (total: 5.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms270×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify74.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity associate-*l* frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt associate-*r* add-log-exp
5×sub-neg
4×distribute-rgt-in associate-+r+ distribute-lft-in unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod distribute-lft-out
2×flip3-- *-commutative flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 99
Calls
4 calls:
3.0ms
(tanh (/ x y))
11.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
16.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ x y))
231.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
341.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
162.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06231280
127591222
250011222

prune256.0ms

Filtered
111 candidates to 84 candidates (24.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1065111
Fresh000
Picked101
Done000
Total1075112

Merged error: 0.3b

Counts
112 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))))
1.7b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
25×add-sqr-sqrt
24×associate-*r*
20×*-un-lft-identity
18×distribute-rgt-in distribute-lft-in tanh-def
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×add-cube-cbrt associate-*l*
8×associate-+r+ add-log-exp
5×unswap-sqr
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- *-commutative flip-- distribute-lft-out-- difference-of-squares
2×distribute-lft-out
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 131
Calls
4 calls:
18.0ms
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
13.0ms
(+ x (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series895.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
228.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
302.0ms
(+ x (* z (* y (- (tanh (/ t y)) (tanh (/ x y))))))
167.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify80.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06351652
129481570
250011570

prune305.0ms

Filtered
143 candidates to 99 candidates (30.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1412143
Fresh224
Picked101
Done000
Total1444148

Merged error: 0.0b

Counts
148 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y)))))))
4.4b
(* y (tanh (/ t y)))
4.8b
(* y (- (tanh (/ x y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*r*
10×add-cube-cbrt
8×pow1 add-exp-log add-cbrt-cube
7×associate-*l*
6×associate-*r/ add-log-exp
4×associate-+r+
3×+-commutative distribute-lft-neg-in distribute-rgt-neg-in distribute-neg-frac tanh-def
2×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×neg-mul-1 flip3-+ sum-log distribute-rgt-neg-out flip-+
Counts
4 → 77
Calls
4 calls:
3.0ms
(tanh (/ t y))
27.0ms
(+ x (* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y)))))))
5.0ms
(* y (tanh (/ t y)))
7.0ms
(* y (- (tanh (/ x y))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
307.0ms
(+ x (* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y)))))))
66.0ms
(* y (tanh (/ t y)))
74.0ms
(* y (- (tanh (/ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0364572
11549519
25001519

prune199.0ms

Filtered
89 candidates to 69 candidates (22.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh123
Picked011
Done000
Total89493

Merged error: 0.0b

Counts
93 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.5b
(+ (+ x (* (* y (- (tanh (/ x y)))) z)) (* (* y (tanh (/ t y))) z))
4.4b
(* y (tanh (/ t y)))
4.8b
(* y (- (tanh (/ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
27×associate-*l*
21×distribute-lft-out
14×add-sqr-sqrt
13×associate-*r*
12×associate-*r/
10×add-cube-cbrt
9×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×associate-*l/ frac-add
5×tanh-def
4×flip3-+ flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in sum-log distribute-rgt-neg-out distribute-neg-frac
2×+-commutative distribute-lft-neg-out associate-+l- associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×neg-mul-1 unsub-neg
Counts
4 → 94
Calls
4 calls:
3.0ms
(tanh (/ t y))
30.0ms
(+ (+ x (* (* y (- (tanh (/ x y)))) z)) (* (* y (tanh (/ t y))) z))
5.0ms
(* y (tanh (/ t y)))
8.0ms
(* y (- (tanh (/ x y))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(tanh (/ t y))
344.0ms
(+ (+ x (* (* y (- (tanh (/ x y)))) z)) (* (* y (tanh (/ t y))) z))
67.0ms
(* y (tanh (/ t y)))
73.0ms
(* y (- (tanh (/ x y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05721043
12529981
25001981

prune232.0ms

Filtered
106 candidates to 76 candidates (28.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

regimes85.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12510
22610
32610

end0.0ms

sample594.0ms

Algorithm
intervals
Results
331.0ms8347×body80valid
13.0ms88×body640valid
10.0ms47×body1280valid
8.0ms64×body320valid
4.0ms49×body160valid