Details

Time bar (total: 44.5s)

sample37.0ms

Algorithm
intervals
Results
17.0ms266×body80valid
1.0ms3×body640valid
0.0ms1×body1280valid
0.0ms2×body320valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune6.0ms

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: 3.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
3.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite20.0ms

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:
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ x y))
2.0ms
(tanh (/ t y))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
28.0ms
(tanh (/ x y))
26.0ms
(tanh (/ t y))
70.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0509771
12427725
25003725

prune462.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh000
Picked011
Done000
Total78583

Merged error: 0.0b

Counts
83 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.6b
(* 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 (/ x y))
2.0ms
(tanh (/ t y))
9.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ x y))
27.0ms
(tanh (/ t y))
89.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
04701039
12128970
25003970

prune699.0ms

Filtered
104 candidates to 75 candidates (27.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh213
Picked101
Done011
Total1054109

Merged error: 0b

Counts
109 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
1.2b
(* z (neg (tanh (/ x y))))
1.5b
(* z (tanh (/ t y)))
1.6b
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
35×associate-*r/
18×add-sqr-sqrt
17×associate-*r*
12×add-cube-cbrt *-un-lft-identity distribute-neg-frac
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l* frac-add tanh-def
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in neg-mul-1 distribute-lft-in flip3-+ distribute-rgt-neg-out flip-+ distribute-lft-out
Counts
4 → 92
Calls
4 calls:
2.0ms
(tanh (/ t y))
6.0ms
(* z (neg (tanh (/ x y))))
5.0ms
(* z (tanh (/ t y)))
13.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(tanh (/ t y))
33.0ms
(* z (neg (tanh (/ x y))))
34.0ms
(* z (tanh (/ t y)))
72.0ms
(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0610834
13200775
25002774

prune882.0ms

Filtered
104 candidates to 83 candidates (20.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done011
Total1044108

Merged error: 0b

Counts
108 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (tanh (/ t y)) (tanh (/ t y)))
1.1b
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.6b
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
6.0b
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
638×associate-*r/
549×frac-times
500×tanh-def
450×frac-sub
227×associate-/l/
183×associate-*l/
26×associate-*r*
22×add-exp-log associate-/r/ add-cbrt-cube
21×add-sqr-sqrt *-un-lft-identity
18×frac-add
15×pow1 add-cube-cbrt
9×associate-*l*
8×times-frac
7×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* add-log-exp
3×swap-sqr pow-prod-down *-commutative distribute-lft-out unswap-sqr
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ flip-- flip-+ div-inv
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up associate-/l* difference-of-squares
Counts
4 → 590
Calls
4 calls:
6.0ms
(* (tanh (/ t y)) (tanh (/ t y)))
43.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
15.0ms
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
55.0ms
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (tanh (/ t y)) (tanh (/ t y)))
194.0ms
(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
396.0ms
(* y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))))
486.0ms
(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

simplify193.0ms

Algorithm
egg-herbie
Counts
602 → 602
Iterations

Useful iterations: 1 (65.0ms)

IterNodesCost
0474416679
1500216523

prune38.7s

Filtered
602 candidates to 480 candidates (20.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6020602
Fresh011
Picked011
Done022
Total6024606

Merged error: 0b

Counts
606 → 4

regimes346.0ms

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12510
22610
32610

end0.0ms

sample797.0ms

Algorithm
intervals
Results
380.0ms8341×body80valid
15.0ms57×body1280valid
14.0ms80×body640valid
8.0ms59×body320valid
4.0ms42×body160valid

Profiling

Loading profile data...