Details

Time bar (total: 8.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms273×body80valid
1.0ms6×body320valid
0.0ms3×body640valid
0.0ms1×body160valid

simplify75.0ms

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: 5.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
5.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite73.0ms

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:
2.0ms
(tanh (/ x y))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ t y))
54.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(tanh (/ x y))
247.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
90.0ms
(tanh (/ t y))
184.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05121026
12370971
25002971

prune302.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite135.0ms

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))
45.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
83.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(tanh (/ x y))
87.0ms
(tanh (/ t y))
250.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
185.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
04701039
12128970
25002970

prune323.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite248.0ms

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:
77.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
54.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
54.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
57.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
184.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
413.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
418.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
415.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05651972
120151876
250031858

prune548.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.1b

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
5.8b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite216.0ms

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:
78.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
53.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
54.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
26.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
182.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
422.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
414.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
630.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
07102032
125401938
250021924

prune616.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 2.1b

regimes487.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0158
1158

end0.0ms

sample647.0ms

Algorithm
intervals
Results
317.0ms8313×body80valid
15.0ms105×body640valid
10.0ms51×body1280valid
7.0ms66×body320valid
3.0ms41×body160valid