Details

Time bar (total: 3.2s)

sample42.0ms

Algorithm
intervals
Results
21.0ms817×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms

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:
6.0ms
(* (cosh x) (/ y x))
10.0ms
(/ (* (cosh x) (/ y x)) z)

series219.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (cosh x) (/ y x))
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0345374
11456317
25001317

prune151.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* x y) z))
0.0b
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
4.2b
(/ (* x y) z)
6.0b
(/ y (* x z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
4×associate-/r* associate-/l*
3×associate-*l* div-inv
2×frac-2neg associate-*r/ clear-num
1×+-commutative flip3-+ pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* 1/2 (/ (* x y) z))
7.0ms
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
4.0ms
(/ (* x y) z)
4.0ms
(/ y (* x z))

series107.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 1/2 (/ (* x y) z))
43.0ms
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
18.0ms
(/ (* x y) z)
20.0ms
(/ y (* x z))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0354442
11722388
25001388

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x 1/2) (/ y z)) (/ y (* x z)))
0.2b
(* (* x 1/2) (/ y z))
6.0b
(/ y (* x z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity times-frac associate-*r*
12×add-sqr-sqrt add-cube-cbrt
8×pow1
7×prod-exp cbrt-unprod
5×add-log-exp
4×cbrt-undiv div-exp
3×pow-prod-down associate-/l*
2×associate-*r/ div-inv
1×+-commutative distribute-rgt-out frac-2neg flip3-+ associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-+
Counts
3 → 67
Calls
3 calls:
8.0ms
(+ (* (* x 1/2) (/ y z)) (/ y (* x z)))
7.0ms
(* (* x 1/2) (/ y z))
5.0ms
(/ y (* x z))

series92.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (* (* x 1/2) (/ y z)) (/ y (* x z)))
31.0ms
(* (* x 1/2) (/ y z))
20.0ms
(/ y (* x z))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0396395
11909349
25001346

prune185.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ y z))
0.0b
(+ (* x (* 1/2 (/ y z))) (/ y (* x z)))
0.2b
(* x (* 1/2 (/ y z)))
6.0b
(/ y (* x z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
13×times-frac
11×pow1
8×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×associate-*r/
4×cbrt-undiv div-exp pow-prod-down
3×associate-/l*
2×*-commutative div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ frac-add clear-num associate-/r* sum-log flip-+
Counts
4 → 86
Calls
4 calls:
6.0ms
(* 1/2 (/ y z))
8.0ms
(+ (* x (* 1/2 (/ y z))) (/ y (* x z)))
6.0ms
(* x (* 1/2 (/ y z)))
4.0ms
(/ y (* x z))

series115.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 1/2 (/ y z))
40.0ms
(+ (* x (* 1/2 (/ y z))) (/ y (* x z)))
26.0ms
(* x (* 1/2 (/ y z)))
26.0ms
(/ y (* x z))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0398457
11717407
25001405

prune176.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

regimes224.0ms

Accuracy

88% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.8b

bsearch82.0ms

Steps
ItersRangePoint
7
2.7653121003033314e-28
6.51139841312579e-26
4.008220082759827e-26
6
-2.2717665096000122e+44
-2.1245088130987467e+43
-2.1538486122792733e+43

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04225
14225

end0.0ms

sample1.1s

Algorithm
intervals
Results
612.0ms22680×body80valid