Details

Time bar (total: 7.6s)

sample32.0ms

Algorithm
intervals
Results
13.0ms271×body80valid
0.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify76.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
5.7b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
8×add-log-exp
5×add-cube-cbrt sub-neg associate-*r*
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
15.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series852.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
360.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
87.0ms
(tanh (/ x y))
160.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05921136
127281079
250011079

prune543.0ms

Filtered
95 candidates to 73 candidates (23.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh000
Picked101
Done000
Total90696

Merged error: 0.5b

Counts
96 → 6

localize11.0ms

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))))
4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite28.0ms

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))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(tanh (/ t y))
88.0ms
(tanh (/ x y))
220.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
161.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
04701039
12128970
25003970

prune695.0ms

Filtered
104 candidates to 76 candidates (26.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh325
Picked011
Done000
Total1055110

Merged error: 0.2b

Counts
110 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
34×distribute-rgt-in distribute-lft-in
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
14×sub-neg
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×associate-*r*
6×cbrt-prod
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
12.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
22.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series938.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
333.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
217.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
192.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06782084
131581715
250021651

prune1.1s

Filtered
153 candidates to 90 candidates (41.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh033
Picked101
Done011
Total1535158

Merged error: 0.2b

Counts
158 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.1b
(pow (tanh (/ x y)) 3)
5.7b
(* (* y z) (- (tanh (/ t y)) (cbrt (pow (tanh (/ x y)) 3))))
18.1b
(cbrt (pow (tanh (/ x y)) 3))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
15×cube-div
13×*-un-lft-identity
12×cbrt-div
11×add-cube-cbrt associate-*r/
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r* frac-sub tanh-def
7×unpow-prod-down cube-prod
5×difference-of-squares
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in cube-mult sub-neg distribute-lft-in unpow3
1×pow-to-exp flip3-- pow-pow pow1/3 associate-*l* pow-exp *-commutative flip-- rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt
Counts
4 → 99
Calls
4 calls:
2.0ms
(tanh (/ x y))
3.0ms
(pow (tanh (/ x y)) 3)
17.0ms
(* (* y z) (- (tanh (/ t y)) (cbrt (pow (tanh (/ x y)) 3))))
4.0ms
(cbrt (pow (tanh (/ x y)) 3))

series460.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(tanh (/ x y))
133.0ms
(pow (tanh (/ x y)) 3)
155.0ms
(* (* y z) (- (tanh (/ t y)) (cbrt (pow (tanh (/ x y)) 3))))
86.0ms
(cbrt (pow (tanh (/ x y)) 3))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0519956
12572865
25002855

prune751.0ms

Filtered
111 candidates to 73 candidates (34.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done011
Total1115116

Merged error: 0.2b

Counts
116 → 5

regimes266.0ms

Accuracy

0% (1.5b remaining)

Error of 1.9b against oracle of 0.4b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample792.0ms

Algorithm
intervals
Results
383.0ms8291×body80valid
19.0ms107×body640valid
11.0ms42×body1280valid
8.0ms64×body320valid
4.0ms41×body160valid

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