Details

Time bar (total: 7.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms269×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
4.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite68.0ms

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 (/ t y))
2.0ms
(tanh (/ x y))
14.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
48.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
89.0ms
(tanh (/ x y))
250.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
182.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05121026
12370971
25002971

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite137.0ms

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:
2.0ms
(tanh (/ x y))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
42.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
76.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series759.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(tanh (/ x y))
248.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
240.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
183.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05531404
124071324
250011324

prune344.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.6b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.9b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite314.0ms

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)
42.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
187.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
78.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
233.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
208.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
551.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06782084
131541715
250031651

prune410.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.2b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.7b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.7b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.7b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite231.0ms

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:
73.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
50.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
51.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
52.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
179.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
411.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
405.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
407.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05651972
120151876
250031858

prune508.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 1.2b

regimes220.0ms

Accuracy

0% (1.0b remaining)

Error of 2.1b against oracle of 1.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample651.0ms

Algorithm
intervals
Results
319.0ms8330×body80valid
12.0ms82×body640valid
7.0ms68×body320valid
7.0ms34×body1280valid
3.0ms37×body160valid