Details

Time bar (total: 10.0m)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0msbody320valid
0.0msbody640valid
0.0msbody160valid
0.0msbody1280valid

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: 5.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
associate-*r* add-log-exp
add-cube-cbrt
sub-neg pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
diff-log associate-*l* *-commutative
Counts
3 → 68
Calls
3 calls:
1.0ms
(tanh (/ x y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series449.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(tanh (/ x y))
216.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
156.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0509961
12358906
25001906

prune260.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.2b
(- (tanh (/ t y)) (tanh (/ x y)))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite77.0ms

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
add-cube-cbrt sub-neg
associate-*r* associate-*l* add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative distribute-lft-out-- difference-of-squares
diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
1.0ms
(tanh (/ x y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
43.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(tanh (/ x y))
227.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
214.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
160.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05531404
124071324
250011324

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
4785×cbrt-div
3915×frac-sub
3586×associate-*r/
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*r* *-commutative
Counts
4 → 1823
Calls
4 calls:
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
896.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
359.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
361.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
358.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
388.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify898.0ms

Algorithm
egg-herbie
Counts
1835 → 1835
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05001108638

prune20.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.6b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

rewrite2.7m

Algorithm
rewrite-expression-head
Rules
1824801×cbrt-div
933147×frac-sub
891649×frac-times
622098×tanh-def
537262×associate-*r/
103683×flip3-- flip--
58751×associate-*l/
51×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
33×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*r* *-commutative
Counts
4 → 248945
Calls
4 calls:
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
37.3s
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
397.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
356.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
173.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))))

simplify4.6m

Algorithm
egg-herbie
Counts
248957 → 248957
Iterations

Useful iterations: 0 (12.7s)

IterNodesCost
050008526089804

prune2.2m