Details

Time bar (total: 7.4s)

sample23.0ms

Algorithm
intervals
Results
11.0ms266×body80valid
1.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
4.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite40.0ms

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:
4.0ms
(tanh (/ x y))
1.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
26.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ x y))
82.0ms
(tanh (/ t y))
225.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
158.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05121026
12370971
25002971

prune294.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite80.0ms

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:
1.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
24.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
44.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(tanh (/ t y))
223.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
220.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
163.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05391404
123341324
250031324

prune348.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.5b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.5b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.5b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
42.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
29.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
29.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
31.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
160.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
382.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
380.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
381.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05651972
120151876
250031858

prune519.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
3.7b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.5b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.5b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
77×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
43.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
13.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
29.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
31.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
162.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
617.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
390.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
386.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07102032
125401938
250021924

prune591.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 1.0b

regimes165.0ms

Accuracy

0% (1.0b remaining)

Error of 2.1b against oracle of 1.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample581.0ms

Algorithm
intervals
Results
329.0ms8266×body80valid
18.0ms120×body640valid
9.0ms76×body320valid
7.0ms35×body1280valid
2.0ms28×body160valid