Details

Time bar (total: 3.9s)

sample54.0ms

Algorithm
intervals
Results
24.0ms739×body80valid

simplify55.0ms

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: 8.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.7b
(/ (* (cosh x) (/ y x)) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
14.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series200.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ y x))
118.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345374
11456317
25001317

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y (* x z)))
5.6b
(/ y (* x z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
21.0ms
(* (cosh x) (/ y (* x z)))
7.0ms
(/ y (* x z))

series141.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* (cosh x) (/ y (* x z)))
24.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0259290
11062239
25002239

prune108.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(* (* (cosh x) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt y) z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
28×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
16×prod-exp cbrt-unprod
9×pow1
8×cbrt-undiv div-exp
5×frac-times associate-*l/
4×cosh-def add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
75.0ms
(* (* (cosh x) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt y) z))

series702.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
181.0ms
(cbrt y)
182.0ms
(cbrt y)
146.0ms
(* (* (cosh x) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt y) z))

simplify72.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0532846
12866633
25001577

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (+ (exp x) (exp (- x))) y)
5.6b
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
13×*-un-lft-identity times-frac
11×add-sqr-sqrt
10×cbrt-undiv div-exp
9×add-cube-cbrt
7×associate-/l*
6×prod-exp cbrt-unprod
5×pow1 add-log-exp
4×associate-*l*
3×associate-*r* div-inv
2×flip3-+ associate-*l/ flip-+ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 71
Calls
3 calls:
12.0ms
(+ (exp x) (exp (- x)))
43.0ms
(* (+ (exp x) (exp (- x))) y)
29.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series176.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (exp x) (exp (- x)))
55.0ms
(* (+ (exp x) (exp (- x))) y)
97.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify63.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449735
12275589
25001588

prune171.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

95.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample1.2s

Algorithm
intervals
Results
578.0ms22434×body80valid