Details

Time bar (total: 4.4s)

sample36.0ms

Algorithm
intervals
Results
20.0ms653×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
5.2b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series239.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
78.0ms
(* (cosh x) (/ y x))
112.0ms
(/ (* (cosh x) (/ y x)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0383433
11634372
25001368

prune167.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884

Merged error: 0.0b

Counts
84 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
5.3b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
26×associate-*r*
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×un-div-inv
Counts
3 → 98
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(* (cosh x) (/ y x))
9.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series278.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(cosh x)
76.0ms
(* (cosh x) (/ y x))
154.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0553639
12711529
25001489

prune192.0ms

Filtered
107 candidates to 71 candidates (66.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh257
Picked011
Done000
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (* 1/2 x) y (/ y x))
5.2b
(/ (fma (* 1/2 x) y (/ y x)) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma (* 1/2 x) y (/ y x))
3.0ms
(/ (fma (* 1/2 x) y (/ y x)) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma (* 1/2 x) y (/ y x))
36.0ms
(/ (fma (* 1/2 x) y (/ y x)) z)

simplify109.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0114293
1294268
21002268
33765268
45001268

prune90.0ms

Filtered
45 candidates to 36 candidates (80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh055
Picked011
Done011
Total44852

Merged error: 0.0b

Counts
52 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.9b
(/ (/ y x) (cbrt z))
3.6b
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y x) (cbrt z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
186×add-sqr-sqrt
154×add-cube-cbrt *-un-lft-identity
91×cbrt-prod
82×associate-*r*
45×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
16×div-inv
13×associate-/l*
12×prod-exp cbrt-unprod
10×unswap-sqr
7×associate-*l*
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 271
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(/ (/ y x) (cbrt z))
32.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y x) (cbrt z)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
172.0ms
(cbrt z)
109.0ms
(/ (/ y x) (cbrt z))
177.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y x) (cbrt z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012222811
150012501

prune750.0ms

Filtered
283 candidates to 244 candidates (86.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2830283
Fresh055
Picked011
Done022
Total2838291

Merged error: 0.0b

Counts
291 → 8

regimes177.0ms

Accuracy

93.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.9b

bsearch73.0ms

Steps
ItersRangePoint
8
2.5948840381764353e-61
9.752688205721424e-58
9.605046692206368e-58
5
-1.7778235835337042e-50
-5.57471564210612e-51
-1.7507612969844956e-50

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample1.2s

Algorithm
intervals
Results
695.0ms22448×body80valid