Details

Time bar (total: 3.0s)

sample37.0ms

Algorithm
intervals
Results
19.0ms743×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* (cosh x) (/ y x)) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* associate-/l/
cosh-def prod-exp cbrt-unprod
pow1 frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
5.0ms
(/ (* (cosh x) (/ y x)) z)

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(/ (* (cosh x) (/ y x)) z)

simplify28.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0238177
1994141
25001141

prune71.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
22×add-cbrt-cube
20×prod-exp
13×associate-*r*
10×div-exp cbrt-unprod
times-frac
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
cbrt-undiv frac-times associate-*l/
cosh-def
rec-exp 1-exp associate-*r/ pow-prod-down
associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
17.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify45.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416381
12043296
25001283

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
5.5b
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
13×times-frac
10×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
add-cube-cbrt
associate-/l*
prod-exp cbrt-unprod
pow1 associate-*l*
associate-*r* div-inv
associate-*l/ add-log-exp
frac-2neg flip3-+ pow-prod-down clear-num associate-/r* *-commutative flip-+ associate-/l/ distribute-lft-out unswap-sqr
Counts
2 → 59
Calls
2 calls:
20.0ms
(* (+ (exp x) (exp (- x))) y)
14.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series142.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (+ (exp x) (exp (- x))) y)
88.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0415635
12108501
25001501

prune159.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
0.2b
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
5.4b
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
89×times-frac
55×add-cbrt-cube
54×div-exp
36×add-sqr-sqrt *-un-lft-identity
34×add-cube-cbrt
27×cbrt-undiv
21×prod-exp
19×associate-/r*
12×div-inv
11×cbrt-unprod
rec-exp 1-exp
pow1 associate-/r/
associate-*l* associate-/l*
associate-*r* add-log-exp
frac-2neg associate-*l/ clear-num
pow-flip flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out inv-pow unswap-sqr
Counts
3 → 151
Calls
3 calls:
23.0ms
(* (+ (exp x) (exp (- x))) y)
19.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
10.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

series266.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* (+ (exp x) (exp (- x))) y)
94.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
118.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

simplify103.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07411906
142591593
250021531

prune280.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

91.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.6b

bsearch115.0ms

Steps
ItersRangePoint
10
2.5518260001710317e-97
5.928325538002112e-85
5.825119160078433e-85
9
-3.3781928696670388e+41
-1.1116100419125065e+35
-1.4095309793540851e+35

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012

end0.0ms

sample1.0s

Algorithm
intervals
Results
584.0ms22251×body80valid